"BEAMANAL13" Program

Doc"BEAMANAL13" --- SINGLE-SPAN and CONTINUOUS-SPAN BEAM ANALYSISProgram Description:"BEAMANAL13" is a spreadsheet program written in MS-Excel for the purpose of analysis of either single-spanbeams subjected to virtually any type of loading configuration. Four (4) types of single-span beams, considered.Specifically, beam end reactions as well as the maximum moments and deflections are calculated. Plots of boththe shear and moment diagrams are produced, as well as a tabulation of the shear, moment, slope, and deflectionfor the beam or each individual span. Also, for steel single-span beams an AISC 13th Edition (ASD) Code check canbe performed for X-axis bending and shear.This program is a workbook consisting of two (2) worksheets, described as follows:Worksheet NameDescriptionDocThis documentation sheetSingle-Span Beam & Code CheckSingle-span beam analysis and AISC Code Check for X-axis bendingProgram Assumptions and Limitations:1. The following reference was used in the development of this program (see below):"Modern Formulas for Statics and Dynamics, A Stress-and-Strain Approach"by Walter D. Pilkey and Pin Yu Chang, McGraw-Hill Book Company (1978), pages 11 to 21.2. This program uses the three (3) following assumptions as a basis for analysis:a. Beams must be of constant cross section (E and I are constant for entire span length).b. Deflections must not significantly alter the geometry of the problem.c. Stress must remain within the "elastic" region.3. On the beam or each individual span, this program will handle a full length uniform load and up to eight (8) partialuniform, triangular, or trapezoidal loads, up to fifteen (15) point loads, and up to four (4) applied moments.4. For single-span beams, this program always assumes a particular orientation for two (2) of the the four (4)different types. Specifically, the fixed end of either a "propped" or "cantilever" beam is always assumed to be onthe right end of the beam.5. This program will calculate the beam end vertical reactions and moment reactions (if applicable),the maximum positive moment and negative moment (if applicable), and the maximum negative deflectionand positive deflection (if applicable). The calculated values for the end reactions and maximum momentsand deflections are determined from dividing the beam into fifty (50) equal segments with fifty-one (51) points,and including all of the point load and applied moment locations as well. (Note: the actual point of maximummoment occurs where the shear = 0, or passes through zero, while the actual point of maximum deflection iswhere the slope = 0.)6. The user is given the ability to input two (2) specific locations from the left end of the beam to calculate theshear, moment, slope, and deflection.7. The user is also given the ability to select an AISC W, S, C, MC, or HSS (rectangular tube) shape to aide inobtaining the X-axis moment of inertia for input for the purely analysis worksheets.8. The plots of the shear and moment diagrams as well as the displayed tabulation of shear, moment, slope,and deflection are based on the beam (or each individual span) being divided up into fifty (50) equal segmentswith fifty-one (51) points.9. For continuous-span beam of from two (2) through five (5) spans, this program utilizes the "Three-MomentEquation Theory" and solves a system simultaneous equations to determine the support moments10. This program contains numerous comment boxes which contain a wide variety of information includingexplanations of input or output items, equations used, data tables, etc. (Note: presence of a comment boxis denoted by a red triangle in the upper right-hand corner of a cell. Merely move the mouse pointer to thedesired cell to view the contents of that particular "comment box".)Formulas Used to Determine Shear, Moment, Slope, and Deflection in Single-Span BeamsFor Uniform or Distributed Loads:Loading functions for each uniform or distributed load evaluated at distance x = L from left end of beam:FvL =-wb*(L-b-(L-e)) + -1/2*(we-wb)/(e-b)*((L-b)^2-(L-e)^2)+(we-wb)*(L-e)FmL =-wb/2*((L-b)^2-(L-e)^2) + -1/6*(we-wb)/(e-b)*((L-b)^3-(L-e)^3)+(we-wb)/2*(L-e)^2FqL =-wb/(6*E*I)*((L-b)^3-(L-e)^3) + -1/(24*E*I)*(we-wb)/(e-b)*((L-b)^4-(L-e)^4)+(we-wb)/(6*E*I)*(L-e)^3FDL =-wb/(24*E*I)*((L-b)^4-(L-e)^4) + -1/(120*E*I)*(we-wb)/(e-b)*((L-b)^5-(L-e)^5)+(we-wb)/(24*E*I)*(L-e)^4Loading functions for each uniform or distributed load evaluated at distance = x from left end of beam:If x >= e:Fvx =-wb*(x-b-(x-e)) + -1/2*(we-wb)/(e-b)*((x-b)^2-(x-e)^2)+(we-wb)*(x-e)Fmx =-wb/2*((x-b)^2-(x-e)^2) + -1/6*(we-wb)/(e-b)*((x-b)^3-(x-e)^3)+(we-wb)/2*(x-e)^2Fqx =-wb/(6*E*I)*((x-b)^3-(x-e)^3) + -1/(24*E*I)*(we-wb)/(e-b)*((x-b)^4-(x-e)^4)+(we-wb)/(6*E*I)*(x-e)^3FDx =-wb/(24*E*I)*((x-b)^4-(x-e)^4) + -1/(120*E*I)*(we-wb)/(e-b)*((x-b)^5-(x-e)^5)+(we-wb)/(24*E*I)*(x-e)^4else if x >= b:Fvx =-wb*(x-b) + -1/2*(we-wb)/(e-b)*(x-b)^2else:Fvx =0Fmx =-wb/2*(x-b)^2 + -1/6*(we-wb)/(e-b)*(x-b)^3-(x-e)^3else:Fmx =0Fqx =-wb/(6*E*I)*(x-b)^3 + -1/(24*E*I)*(we-wb)/(e-b)*(x-b)^4else:Fqx =0FDx =-wb/(24*E*I)*(x-b)^4 + -1/(120*E*I)*(we-wb)/(e-b)*(x-b)^5else:FDx =0For Point Loads:Loading functions for each point load evaluated at distance x = L from left end of beam:FvL =-PFmL =-P*(L-a)FqL =-P*(L-a)^2/(2*E*I)FDL =P*(L-a)^3/(6*E*I)Loading functions for each point load evaluated at distance = x from left end of beam:If x > a:Fvx =-Pelse:Fvx =0Fmx =-P*(x-a)else:Fmx =0Fqx =-P*(x-a)^2/(2*E*I)else:Fqx =0FDx =P*(x-a)^3/(6*E*I)else:FDx =0For Applied Moments:Loading functions for each applied moment evaluated at distance x = L from left end of beam:FvL =0FmL =-MFqL =-M*(L-c)/(E*I)FDL =M*(L-c)^2/(2*E*I)Loading functions for each applied moment evaluated at distance = x from left end of beam:If x >= c:Fvx =0else:Fvx =0Fmx =-Melse:Fmx =0Fqx =-M*(x-c)/(E*I)else:Fqx =0FDx =M*(x-c)^2/(2*E*I)else:FDx =0(continued)Formulas Used to Determine Shear, Moment, Slope, and Deflection (continued)Initial summation values at left end (x = 0) for shear, moment, slope, and deflection:Simple beam:Vo =-1/L*S(FmL)Mo =0qo =1/L*S(FDL)+L/(6*E*I)*S(FmL)Do =0Propped beam:Vo =-3*E*I/L^3*S(FDL)-3*E*I/L^2*S(FqL)Mo =0qo =3/(2*L)*S(FDL)+1/2*S(FqL)Do =0Fixed beam:Vo =-12*E*I/L^3*S(FDL)-6*E*I/L^2*S(FqL)Mo =6*E*I/L^2*S(FDL)+2*E*I/L*S(FqL)qo =0Do =0Cantilever beam:Vo =0Mo =0qo =-S(FqL)Do =-S(FDL)-L*S(FqL)Summations of shear, moment, slope, and deflection at distance = x from left end of beam:Shear:Vx =Vo+S(Fvx)Moment:Mx =Mo+Vo*x+S(Fmx)Slope:qx =qo+Mo*x/(E*I)+Vo*x^2/(2*E*I)+S(Fqx)Deflection:Dx =-(Do-qo*x-Mo*x^2/(2*E*I)-Vo*x^3/(6*E*I)+S(FDx)Reference:"Modern Formulas for Statics and Dynamics, A Stress-and-Strain Approach"by Walter D. Pilkey and Pin Yu Chang, McGraw-Hill Book Company (1978)

Single-Span Beam & Code CheckSINGLE-SPAN BEAM ANALYSIS and AISC ASD CODE CHECKCALCULATIONS:Version 1.1For Simple, Propped, Fixed, or Cantilever BeamsSummary for W8x24:Using AISC 13th Edition (ASD) W, M, HP S, C, or MC Shapes Subjected to X-Axis Bending OnlyFor Full Uniform Load, wFor Distributed Load #1For Distributed Load #2For Distributed Load #3For Distributed Load #4For Distributed Load #5For Distributed Load #6For Distributed Load #7For Distributed Load #8For All 15 Point LoadsFor All 4 Applied MomentsSummations of Loading Functions for All LoadsInitial Beam Parameters at Left EndShear, Moment, Slope, & Deflection @ xDist. fromCorrections for P Loads at Supports:S.R.(flexure) =0.717= fbx/FbxProject Name:Client:Loading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xLoading Functions Evaluated at x = LLoading Functions Evaluated at xFor Loading Functions Evaluated at x = LFor Loading Functions Evaluated at xwith Loading Functions Evaluated at x = LVxMxqxDxLeft EndS Reaction forS Reaction forS.R.(shear) =0.384= fv/FvProject No.:Prep. By:Date:Points:FvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxFvLFmLFqLFDLFvxFmxFqxFDxSFvLSFmLSFqLSFDLSFvxSFmxSFqxSFDxVoMoqoDo(kips)(ft-kips)(deg.)(in.)x (ft.)Index:P Loads withP Loads withD(ratio) =L/4361-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.93330.0000-0.4248240.0000000.00001Dist. a = 0Dist. a = LInput Data:2-20.0000-100.0000-0.0001390.000347-0.4000-0.0400-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.1010-0.0101-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-0.5010-0.0501-0.00000.000014.93330.0000-0.0000510.00000014.43232.9366-0.423808-0.0177810.200020.000.00P1Properties for W8x243-20.0000-100.0000-0.0001390.000347-0.8000-0.1600-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.2040-0.0405-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-1.0040-0.2005-0.00000.000014.93330.0000-0.0000510.00000013.92935.7728-0.420806-0.0354770.400030.000.00P2d =7.930in.Beam Data:c4-20.0000-100.0000-0.0001390.000347-1.2000-0.3600-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.3090-0.0918-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-1.5090-0.4518-0.00000.000014.93330.0000-0.0000510.00000013.42438.5082-0.415888-0.0530070.600040.000.00P3tw =0.245in.Span Type?Simplee5-20.0000-100.0000-0.0001390.000347-1.6000-0.6400-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.4160-0.1643-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-2.0160-0.8043-0.00000.000014.93330.0000-0.0000510.00000012.917311.1424-0.409122-0.0702930.800050.000.00P4bf =6.500in.Span, L =10.0000ft.Simple Beamb6-20.0000-100.0000-0.0001390.000347-2.0000-1.0000-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.5250-0.2583-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-2.5250-1.2583-0.00000.000014.93330.0000-0.0000510.00000012.408313.6750-0.400578-0.0872571.000060.000.00P5tf =0.400in.Caution: User should make sure toModulus, E =29000ksia7-20.0000-100.0000-0.0001390.000347-2.4000-1.4400-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.6360-0.3744-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-3.0360-1.8144-0.00000.000014.93330.0000-0.0000510.00000011.897316.1056-0.390327-0.1038281.200070.000.00P6k =0.794in.Clear Contents of all inputInertia, Ix =82.70in.^4Propped Beam+P+M +we8-20.0000-100.0000-0.0001390.000347-2.8000-1.9600-0.0000000.000000-7.5000-33.3333-0.0000430.000104-0.7490-0.5129-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-3.5490-2.4729-0.00000.000014.93330.0000-0.0000510.00000011.384318.4338-0.378439-0.1199341.400080.000.00P7Ix =82.70in.^4cells not being used.Beam Size =W8x24+wb9-20.0000-100.0000-0.0001390.000347-3.2000-2.5600-0.0000010.000000-7.5000-33.3333-0.0000430.000104-0.8640-0.6741-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-4.0640-3.2341-0.00000.000014.93330.0000-0.0000510.00000010.869320.6592-0.364985-0.1355101.600090.000.00P8Sx =20.90in.^3Yield, Fy =50ksiFixed Beam+w10-20.0000-100.0000-0.0001390.000347-3.6000-3.2400-0.0000010.000000-7.5000-33.3333-0.0000430.000104-0.9810-0.8586-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-4.5810-4.0986-0.00000.000014.93330.0000-0.0000510.00000010.352322.7814-0.350034-0.1504901.8000100.000.00P9Zx =23.10in.^3Length, Lb =10.0000ft.E,IL11-20.0000-100.0000-0.0001390.000347-4.0000-4.0000-0.0000010.000001-7.5000-33.3333-0.0000430.000104-1.1000-1.0667-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-5.1000-5.0667-0.00000.000014.93330.0000-0.0000510.0000009.833324.8000-0.333660-0.1648142.0000110.000.00P10Iy =18.300in.^4Coef., Cb =1.00Cantilever BeamRLxRR12-20.0000-100.0000-0.0001390.000347-4.4000-4.8400-0.0000010.000001-7.5000-33.3333-0.0000430.000104-1.2210-1.2987-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-0.4000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-7.6210-6.5387-0.00000.000014.93330.0000-0.0000510.0000007.312326.3146-0.316069-0.1784262.2000120.000.00P11ry =1.610inNomenclature13-20.0000-100.0000-0.0001390.000347-4.8000-5.7600-0.0000020.000001-7.5000-33.3333-0.0000430.000104-1.3440-1.5552-0.0000010.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-0.8000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-8.1440-8.1152-0.00000.000014.93330.0000-0.0000510.0000006.789327.7248-0.297473-0.1912792.4000130.000.00P12J =0.346in.^4Beam Loadings:14-20.0000-100.0000-0.0001390.000347-5.2000-6.7600-0.0000020.000002-7.5000-33.3333-0.0000430.000104-1.4690-1.8365-0.0000010.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-1.2000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-8.6690-9.7965-0.00000.000014.93330.0000-0.0000510.0000006.264329.0302-0.277942-0.2033342.6000140.000.00P13Cw =259.00in.^6Full Uniform:Point Loads:a (ft.)P (kips)15-20.0000-100.0000-0.0001390.000347-5.6000-7.8400-0.0000030.000002-7.5000-33.3333-0.0000430.000104-1.5960-2.1429-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-1.6000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-9.1960-11.5829-0.00000.000014.93330.0000-0.0000510.0000005.737330.2304-0.257549-0.2145522.8000150.000.00P14w =2.0000kips/ft.#1:2.00002.0016-20.0000-100.0000-0.0001390.000347-6.0000-9.0000-0.0000040.000003-7.5000-33.3333-0.0000430.000104-1.7250-2.4750-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-2.0000-0.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-9.7250-13.4750-0.00000.000014.93330.0000-0.0000510.0000005.208331.3250-0.236367-0.2248993.0000160.000.00P15User Designated Points to Calculate:StartEnd#2:17-20.0000-100.0000-0.0001390.000347-6.4000-10.2400-0.0000050.000004-7.5000-33.3333-0.0000430.000104-1.8560-2.8331-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-2.4000-0.0000010.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-10.2560-15.4731-0.00000.000014.93330.0000-0.0000510.0000004.677332.3136-0.214468-0.2343443.2000170.000.00S Px1 =0.0000ft.0Distributed:b (ft.)wb (kips/ft.)e (ft.)we (kips/ft.)#3:18-20.0000-100.0000-0.0001390.000347-6.8000-11.5600-0.0000050.000005-7.5000-33.3333-0.0000430.000104-1.9890-3.2175-0.0000010.000001-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-2.8000-0.0000010.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-10.7890-17.5775-0.00000.000014.93330.0000-0.0000510.0000004.144333.1958-0.191925-0.2428573.400018Vx Correction:Vx Correction:x2 =0.0000ft.0#1:0.00000.500010.00001.0000#4:19-20.0000-100.0000-0.0001390.000347-7.2000-12.9600-0.0000060.000006-7.5000-33.3333-0.0000430.000104-2.1240-3.6288-0.0000020.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-3.2000-0.0000010.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-11.3240-19.7888-0.00000.000014.93330.0000-0.0000510.0000003.609333.9712-0.168813-0.2504153.600019000#2:#5:20-20.0000-100.0000-0.0001390.000347-7.6000-14.4400-0.0000080.000007-7.5000-33.3333-0.0000430.000104-2.2610-4.0673-0.0000020.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-3.6000-0.0000010.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-11.8610-22.1073-0.00000.000014.93330.0000-0.0000510.0000003.072334.6394-0.145203-0.2569933.800020Results for User Designated Points:#3:#6:21-20.0000-100.0000-0.0001390.000347-8.0000-16.0000-0.0000090.000009-7.5000-33.3333-0.0000430.000104-2.4000-4.5333-0.0000020.000002-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-4.0000-0.0000020.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-12.4000-24.5333-0.00000.000014.93330.0000-0.0000510.0000002.533335.2000-0.121171-0.2625734.000021For x1:#4:#7:22-20.0000-100.0000-0.0001390.000347-8.4000-17.6400-0.0000100.000011-7.5000-33.3333-0.0000430.000104-2.5410-5.0274-0.0000030.000003-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-4.4000-0.0000020.0000010.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-12.9410-27.0674-0.00000.000014.93330.0000-0.0000510.0000001.992335.6526-0.096790-0.2671394.200022Vx1 =14.93kips#5:#8:23-20.0000-100.0000-0.0001390.000347-8.8000-19.3600-0.0000120.000013-7.5000-33.3333-0.0000430.000104-2.6840-5.5499-0.0000030.000004-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-4.8000-0.0000020.0000020.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-13.4840-29.7099-0.00000.000014.93330.0000-0.0000510.0000001.449335.9968-0.072135-0.2706784.400023Mx1 =-0.00ft-kips#6:#9:24-20.0000-100.0000-0.0001390.000347-9.2000-21.1600-0.0000140.000016-7.5000-33.3333-0.0000430.000104-2.8290-6.1011-0.0000040.000004-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-5.2000-0.0000030.0000020.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-14.0290-32.4611-0.00000.000014.93330.0000-0.0000510.0000000.904336.2322-0.047281-0.2731804.600024qx1 =-0.4248deg.#7:#10:25-20.0000-100.0000-0.0001390.000347-9.6000-23.0400-0.0000150.000018-7.5000-33.3333-0.0000430.000104-2.9760-6.6816-0.0000040.000005-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-5.6000-0.0000030.0000030.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-14.5760-35.3216-0.00000.000014.93330.0000-0.0000510.0000000.357336.3584-0.022302-0.2746374.800025Dx1 =0.0000in.#8:#11:26-20.0000-100.0000-0.0001390.000347-10.0000-25.0000-0.0000170.000022-7.5000-33.3333-0.0000430.000104-3.1250-7.2917-0.0000050.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-6.0000-0.0000040.0000040.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-15.1250-38.2917-0.00000.000014.93330.0000-0.0000510.000000-0.191736.37500.002726-0.2750475.000026#12:27-20.0000-100.0000-0.0001390.000347-10.4000-27.0400-0.0000200.000025-7.5000-33.3333-0.0000430.000104-3.2760-7.9317-0.0000060.000007-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-6.4000-0.0000040.0000050.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-15.6760-41.3717-0.00000.000014.93330.0000-0.0000510.000000-0.742736.28160.027727-0.2744095.200027For x2:Moments:c (ft.)M (ft-kips)#13:28-20.0000-100.0000-0.0001390.000347-10.8000-29.1600-0.0000220.000030-7.5000-33.3333-0.0000430.000104-3.4290-8.6022-0.0000060.000008-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-6.8000-0.0000050.0000050.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-16.2290-44.5622-0.00000.000014.93330.0000-0.0000510.000000-1.295736.07780.052627-0.2727265.400028Vx2 =14.93kips#1:#14:29-20.0000-100.0000-0.0001390.000347-11.2000-31.3600-0.0000240.000034-7.5000-33.3333-0.0000430.000104-3.5840-9.3035-0.0000070.000009-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-7.2000-0.0000050.0000060.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-16.7840-47.8635-0.00000.000114.93330.0000-0.0000510.000000-1.850735.76320.077348-0.2700035.600029Mx2 =-0.00ft-kips#2:#15:30-20.0000-100.0000-0.0001390.000347-11.6000-33.6400-0.0000270.000039-7.5000-33.3333-0.0000430.000104-3.7410-10.0359-0.0000080.000011-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-7.6000-0.0000060.0000080.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-17.3410-51.2759-0.00000.000114.93330.0000-0.0000510.000000-2.407735.33740.101814-0.2662505.800030qx2 =-0.4248deg.#3:31-20.0000-100.0000-0.0001390.000347-12.0000-36.0000-0.0000300.000045-7.5000-33.3333-0.0000430.000104-3.9000-10.8000-0.0000090.000013-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-8.0000-0.0000070.0000090.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-17.9000-54.8000-0.00000.000114.93330.0000-0.0000510.000000-2.966734.80000.125949-0.2614786.000031Dx2 =0.0000in.#4:AISC Code Check for X-Axis Bending:32-20.0000-100.0000-0.0001390.000347-12.4000-38.4400-0.0000330.000051-7.5000-33.3333-0.0000430.000104-4.0610-11.5961-0.0000100.000014-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-8.4000-0.0000070.0000100.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-18.4610-58.4361-0.00010.000114.93330.0000-0.0000510.000000-3.527734.15060.149676-0.2557046.200032Lp =5.69ft.33-20.0000-100.0000-0.0001390.000347-12.8000-40.9600-0.0000360.000058-7.5000-33.3333-0.0000430.000104-4.2240-12.4245-0.0000110.000016-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-8.8000-0.0000080.0000120.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-19.0240-62.1845-0.00010.000114.93330.0000-0.0000510.000000-4.090733.38880.172917-0.2489466.400033Results:Lr =18.98ft.34-20.0000-100.0000-0.0001390.000347-13.2000-43.5600-0.0000400.000066-7.5000-33.3333-0.0000430.000104-4.3890-13.2858-0.0000120.000019-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-9.2000-0.0000090.0000140.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-19.5890-66.0458-0.00010.000114.93330.0000-0.0000510.000000-4.655732.51420.195595-0.2412256.600034fbx =20.89ksi35-20.0000-100.0000-0.0001390.000347-13.6000-46.2400-0.0000440.000074-7.5000-33.3333-0.0000430.000104-4.5560-14.1803-0.0000130.000021-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-9.6000-0.0000100.0000150.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-20.1560-70.0203-0.00010.000114.93330.0000-0.0000510.000000-5.222731.52640.217633-0.2325686.800035End Reactions:Fbx =29.15ksi36-20.0000-100.0000-0.0001390.000347-14.0000-49.0000-0.0000480.000083-7.5000-33.3333-0.0000430.000104-4.7250-15.1083-0.0000140.000024-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-10.0000-0.0000100.0000170.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-20.7250-74.1083-0.00010.000114.93330.0000-0.0000510.000000-5.791730.42500.238952-0.2230037.000036RL =14.93kipsRR =14.57kipsMrx =50.78ft-kips37-20.0000-100.0000-0.0001390.000347-14.4000-51.8400-0.0000520.000093-7.5000-33.3333-0.0000430.000104-4.8960-16.0704-0.0000150.000027-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-10.4000-0.0000110.0000200.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-21.2960-78.3104-0.00010.000114.93330.0000-0.0000510.000000-6.362729.20960.259474-0.2125617.200037MxL =N.A.ft-kipsMxR =N.A.ft-kipsS.R. =0.717= fbx/Fbx38-20.0000-100.0000-0.0001390.000347-14.8000-54.7600-0.0000560.000104-7.5000-33.3333-0.0000430.000104-5.0690-17.0669-0.0000170.000030-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-10.8000-0.0000120.0000220.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-21.8690-82.6269-0.00010.000214.93330.0000-0.0000510.000000-6.935727.87980.279120-0.2012787.40003839-20.0000-100.0000-0.0001390.000347-15.2000-57.7600-0.0000610.000116-7.5000-33.3333-0.0000430.000104-5.2440-18.0981-0.0000180.000033-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-11.2000-0.0000130.0000240.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-22.4440-87.0581-0.00010.000214.93330.0000-0.0000510.000000-7.510726.43520.297812-0.1891917.600039Maximum Moments:Nodal Lat. Brcg Requirements:40-20.0000-100.0000-0.0001390.000347-15.6000-60.8400-0.0000660.000129-7.5000-33.3333-0.0000430.000104-5.4210-19.1646-0.0000200.000037-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-11.6000-0.0000140.0000270.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-23.0210-91.6046-0.00010.000214.93330.0000-0.0000510.000000-8.087724.87540.315470-0.1763437.800040+Mx(max) =36.38ft-kips@ x =4.93ft.Pbr =1.16kips41-20.0000-100.0000-0.0001390.000347-16.0000-64.0000-0.0000710.000142-7.5000-33.3333-0.0000430.000104-5.6000-20.2667-0.0000210.000041-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-12.0000-0.0000150.0000300.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-23.6000-96.2667-0.00010.000214.93330.0000-0.0000510.000000-8.666723.20000.332016-0.1627788.000041-Mx(max) =-0.00ft-kips@ x =0.00ft.bbr =9.66kip / in42-20.0000-100.0000-0.0001390.000347-16.4000-67.2400-0.0000770.000157-7.5000-33.3333-0.0000430.000104-5.7810-21.4047-0.0000230.000046-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-12.4000-0.0000160.0000330.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-24.1810-101.0447-0.00010.000214.93330.0000-0.0000510.000000-9.247721.40860.347369-0.1485448.20004243-20.0000-100.0000-0.0001390.000347-16.8000-70.5600-0.0000820.000173-7.5000-33.3333-0.0000430.000104-5.9640-22.5792-0.0000250.000051-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-12.8000-0.0000170.0000360.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-24.7640-105.9392-0.00010.000314.93330.0000-0.0000510.000000-9.830719.50080.361449-0.1336948.400043Maximum Deflections:AISC Code Check for Gross Shear:44-20.0000-100.0000-0.0001390.000347-17.2000-73.9600-0.0000880.000190-7.5000-33.3333-0.0000430.000104-6.1490-23.7905-0.0000270.000056-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-13.2000-0.0000180.0000400.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-25.3490-110.9505-0.00010.000314.93330.0000-0.0000510.000000-10.415717.47620.374177-0.1182838.600044-D(max) =-0.275in.@ x =4.98ft.fv =7.69ksi45-20.0000-100.0000-0.0001390.000347-17.6000-77.4400-0.0000950.000208-7.5000-33.3333-0.0000430.000104-6.3360-25.0389-0.0000290.000061-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-13.6000-0.0000190.0000440.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-25.9360-116.0789-0.00010.000314.93330.0000-0.0000510.000000-11.002715.33440.385471-0.1023678.800045+D(max) =0.000in.@ x =0.00ft.Fv =20.00ksi46-20.0000-100.0000-0.0001390.000347-18.0000-81.0000-0.0001010.000228-7.5000-33.3333-0.0000430.000104-6.5250-26.3250-0.0000310.000067-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-14.0000-0.0000200.0000480.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-26.5250-121.3250-0.00020.000314.93330.0000-0.0000510.000000-11.591713.07500.395251-0.0860119.000046D(ratio) =L/436S.R. =0.384= fv/Fv47-20.0000-100.0000-0.0001390.000347-18.4000-84.6400-0.0001080.000249-7.5000-33.3333-0.0000430.000104-6.7160-27.6491-0.0000330.000074-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-14.4000-0.0000220.0000520.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-27.1160-126.6891-0.00020.000414.93330.0000-0.0000510.000000-12.182710.69760.403436-0.0692779.20004748-20.0000-100.0000-0.0001390.000347-18.8000-88.3600-0.0001150.000271-7.5000-33.3333-0.0000430.000104-6.9090-29.0115-0.0000360.000081-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-14.8000-0.0000230.0000560.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-27.7090-132.1715-0.00020.000414.93330.0000-0.0000510.000000-12.77578.20180.409944-0.0522369.40004849-20.0000-100.0000-0.0001390.000347-19.2000-92.1600-0.0001230.000295-7.5000-33.3333-0.0000430.000104-7.1040-30.4128-0.0000380.000088-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-15.2000-0.0000240.0000610.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-28.3040-137.7728-0.00020.000414.93330.0000-0.0000510.000000-13.37075.58720.414695-0.0349589.60004950-20.0000-100.0000-0.0001390.000347-19.6000-96.0400-0.0001310.000320-7.5000-33.3333-0.0000430.000104-7.3010-31.8533-0.0000410.000096-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-15.6000-0.0000250.0000660.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-28.9010-143.4933-0.00020.000514.93330.0000-0.0000510.000000-13.96772.85340.417605-0.0175209.80005051-20.0000-100.0000-0.0001390.000347-20.0000-100.0000-0.0001390.000347-7.5000-33.3333-0.0000430.000104-7.5000-33.3333-0.0000430.000104-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-29.5000-149.3333-0.00020.000514.93330.0000-0.0000510.000000-14.5667-0.00000.4185940.00000010.000051User x1-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000052User x2-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000053x=a1 for P1-20.0000-100.0000-0.0001390.000347-4.0000-4.0000-0.0000010.000001-7.5000-33.3333-0.0000430.000104-1.1000-1.0667-0.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-5.1000-5.0667-0.00000.000014.93330.0000-0.0000510.0000009.833324.8000-0.333660-0.1648142.000054x=a2 for P2-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000055x=a3 for P3-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000056x=a4 for P4-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000057x=a5 for P5-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000058x=a6 for P6-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000059x=a7 for P7-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000060x=a8 for P8-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000061x=a9 for P9-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000062x=a10 for P10-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000063x=a11 for P11-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000064x=a12 for P12-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000065x=a13 for P13-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000066x=a14 for P14-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000067x=a15 for P15-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.9333-0.0000-0.4248240.000000-0.000068x=c1 for M1-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.93330.0000-0.4248240.0000000.000069x=c2 for M2-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.93330.0000-0.4248240.0000000.000070x=c3 for M3-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.93330.0000-0.4248240.0000000.000071x=c4 for M4-20.0000-100.0000-0.0001390.0003470.00000.00000.0000000.000000-7.5000-33.3333-0.0000430.0001040.00000.00000.0000000.000000-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.0000710.00000.00000.0000000.0000000.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.00050.00000.00000.00000.000014.93330.0000-0.0000510.00000014.93330.0000-0.4248240.0000000.000072x for Vx=0(1)-20.0000-100.0000-0.0001390.000347-9.8603-24.3065-0.0000170.000021-7.5000-33.3333-0.0000430.000104-3.0727-7.0753-0.0000050.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-5.8603-0.0000040.0000030.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-14.9331-37.2421-0.00000.000014.93330.0000-0.0000510.0000000.000336.3817-0.006014-0.2750234.930273x for qx=0(1)-20.0000-100.0000-0.0001390.000347-9.9568-24.7845-0.0000170.000021-7.5000-33.3333-0.0000430.000104-3.1088-7.2243-0.0000050.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-5.9568-0.0000040.0000040.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-15.0656-37.9656-0.00000.000014.93330.0000-0.0000510.000000-0.132336.37850.000023-0.2750544.978474x for Vx=0(2)-20.0000-100.0000-0.0001390.000347-9.8603-24.3065-0.0000170.000021-7.5000-33.3333-0.0000430.000104-3.0727-7.0753-0.0000050.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-5.8603-0.0000040.0000030.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-14.9331-37.2421-0.00000.000014.93330.0000-0.0000510.0000000.000336.3817-0.006014-0.2750234.930275x for qx=0(2)-20.0000-100.0000-0.0001390.000347-9.9568-24.7845-0.0000170.000021-7.5000-33.3333-0.0000430.000104-3.1088-7.2243-0.0000050.000006-------------------------------------------------------------------------------------------------------------------------------------------------------------------------2.0000-16.0000-0.0000270.000071-2.0000-5.9568-0.0000040.0000040.00000.00000.0000000.0000000.00000.00000.0000000.000000-29.5000-149.3333-0.00020.0005-15.0656-37.9656-0.00000.000014.93330.0000-0.0000510.000000-0.132336.37850.000023-0.2750544.978476Information for Input Data "Pick-Boxes":End Reactions (kips, ft-kips):Beam Types:SimpleW or S Shape Section Properties:RL =14.93RR =14.57Proppedd =7.930in.ML =N.A.MR =N.A.Fixedtw =0.245in.Max. Moments and Locations:Cantileverbf =6.500in.+M(max) =36.38x =4.9302Yield Values:33tf =0.400in.-M(max) =-0.00x =0.000036k =0.794in.Max. Deflections and Locations:50Ix =82.70in.^4-D(max) =-0.2751x =4.9784AISC ShapedtwbftfkIxSxZxIyryJCwSx =20.90in.^3+D(max) =0.0000x =0.0000W44X33544.01.0315.91.772.56311001410162012003.4974.7535000Zx =23.10in.^3W44X29043.60.86515.81.582.36270001240141010403.4950.9461000Iy =18.30in.^4M(max) =36.38D(max) =0.2751= L/436W44X26243.30.78515.81.422.2024100111012709233.4737.3405000ry =1.61inW44X23042.90.71015.81.222.012080097111007963.4324.9346000J =0.35in.^41. Find where shear and slope pass through zero (Method #1):W40X59343.01.7916.73.234.41504002340276025203.80445997000Cw =259.00in.^6Vx=0:x for Vx=0:IndexW40X50342.11.5416.42.763.94416001980232020403.722777890000.3573kips4.800025W40X43141.31.3416.22.363.54348001690196016903.65177638000Section Ratios and Parameters:-0.1917kips5.000026W40X39741.01.2216.12.203.38320001560180015403.64142579000bf/(2*tf) =8.13Interpolating for Vx=0:W40X37240.61.1616.12.053.23296001460168014203.60116528000h/tw =25.894.9302ft.W40X36240.61.1216.02.013.19289001420164013803.60109513000Shape Factor =1.11W40X32440.21.0015.91.812.99256001280146012203.5879.4448000lpf =9.15qx=0:x for qx=0:IndexW40X29739.80.93015.81.652.83232001170133010903.5461.2399000lrf =24.08-0.0223deg.4.800025W40X27739.70.83015.81.582.76219001100125010403.5851.5379000lpw =90.550.0027deg.5.000026W40X24939.40.75015.81.422.601960099311209263.5538.1334000lrw =137.27Interpolating for qx=0:W40X21539.00.65015.81.222.40167008599647963.5424.8284000Design ChapterF24.9784ft.Tabulation of Single-Span Beam Shear, Moment, Slope, and Deflection for 50 Equal SegmentsW40X19938.70.65015.81.072.25149007708696953.4518.3246000kc =N.A.Point #x (ft.)Shear (k)Moment (ft-k)Slope or Rotation (deg.)Deflection (in.)W40X39241.61.4212.42.523.7029900144017108032.641723060002. Find where shear and slope pass through zero (Method #2):10.000014.930.00-0.42480.0000W40X33140.81.2212.22.133.3124700121014306442.57105241000X-axis Bending:Vx(n)*Vx(n+1)qx(n)*qx(n+1)(where: n=Index)20.200014.432.94-0.4238-0.0178W40X32740.81.1812.12.133.3124500120014106402.58103239000Mx(max) =36.38ft-kips215.520.180030.400013.935.77-0.4208-0.0355W40X29440.41.0612.01.933.1121900108012705622.5576.6208000Lp =5.69ft. (Eqn. F2-5, max. value of Lb for Fbx = 0.6*SF*Fy)201.030.178340.600013.428.51-0.4159-0.0530W40X27840.21.0312.01.812.9920500102011905212.5265.0192000rts =1.81186.990.175050.800012.9211.14-0.4091-0.0703W40X26440.00.96011.91.732.911940097111304932.5256.1181000c =1.00173.410.170161.000012.4113.68-0.4006-0.0873W40X23539.70.83011.91.582.761740087510104442.5441.3161000R1 =828.57R1 = E / (.7*Fy)160.280.163971.200011.9016.11-0.3903-0.1038W40X21139.40.75011.81.422.60155007869063902.5130.4141000R2 =2.20E-03R2 = (J*c) / (Sx*ho)147.630.156481.400011.3818.43-0.3784-0.1199W40X18339.00.65011.81.202.38132006757743312.4919.3118000Lr =18.98ft. (Eqn. F2-6, max. value of Lb for inelastic LTB)135.440.147791.600010.8720.66-0.3650-0.1355W40X16738.60.65011.81.032.21116006006932832.4014.099700R3 =4372R3 = (Lb / rts)^2123.740.1381101.800010.3522.78-0.3500-0.1505W40X14938.20.63011.80.8302.0198005135982292.299.3680000fbx =20.89ksi fbx = Mx(max)*12/Sx112.520.1278112.00009.8324.80-0.3337-0.1648W36X80042.62.3818.04.295.24647003040365042004.2210601540000Is Lb