engr0135 - statics and mechanics of materials 1 (2161 ...qiw4/academic/engr0135/hw8.pdf · engr0135...
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ENGR0135 - Statics and Mechanics of Materials 1 (2161)Homework #8
Due: 11/11 (daytime sections) or 11/16 (evening section)
1. A beam is loaded and supported as shown below. Determine the reactions at supportsA and B.
x
y
3 kN/m
7 kN/m
2m 4m
A B
2. A beam is loaded and supported as shown below. Determine the reactions at supportB.
1500 lb · in
200 lb
1 ft 2 ft
A B
3. The rope and pulley system shown below supports a body W and consists of threefrictionless pulleys, A, B, and C, and two ropes, 1 and 2. Rope 1 passes throughpulleys B and C and is attached to the ceiling at D. Rope 2 passes through pulley Aand is attached to pulleys B and C. Determine the tension T in rope 1 if the mass ofthe body W is 500 kg.
WT
A
B
C
D
1
2
4. Determine the force P required to roll the 50 lb cylinder shown below onto the 3-in.-highcurb.
3 in6 in
P
5. Determine all forces acting on all three members, ABCD, CEF , and BE, of the frameshown below. Use “report diagrams” to show your results.
6 in 6 in
6 in
6 in
12 in
A
B
C
D
E F
100 lb
6. A force of 100 lb is applied to the pin-connected system shown below. Determine
(a) All forces acting on member BCD. Use a “report diagram” to show your results.
(b) The shearing stress on the cross section of the 1/4-in.-diameter pin at B, whichis in single shear.
6 in 3 in
6 in
12 in
12 in
100 lb
100 lb
A
B
C
DE
F
7. Bars A and B of the pin-connected system shown below are steel (E = 210 GPa) andeach has a cross-sectional area of 100 mm2. Determine
(a) The stresses in bars A and B.
(b) The vertical displacement (deflection) of pin C.
AB
C
D
50mm
100mm
100mm 100mm
200mm
P = 10 kN