chapter 11 design of beams (sections 1 and 2). recall, with beams we have two stresses to deal with,...

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Chapter 11 Design of Beams (Sections 1 and 2)

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Page 1: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

Chapter 11 Design of Beams (Sections 1 and 2)

Page 2: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

Page 3: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

How are the design of these beams different???

Page 4: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

Beam Recap:

• Beams are structural members designed to support loads applied perpendicular to longitudinal axis.

• Must be sized adequatly to reduce both shear stress and bending stress as well as shear flow if beam fabricated with fasteners!– Shear stress – issue with wooden beams,

short beams, beams with narrow sections (small t) or glued beams.

Page 5: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

Beam Recap Cont’d”

– Bending stress – generally the stress designed to. Especially for long beams, steel beams, etc.

– Recall:

I

Mcmax

Let S = section modulus = I/c, then:

allowdreq

MS

'

Page 6: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

Beam Design Summary:

• Find shear and moment diagram – get Vmax and Mmax. Determine material and type of beam.

• Calculate required section modulus using:

• Calculate max shear stress to make sure ok:

allowdreq

MS

'

allowIt

VQ

Optional: If fabricated with fasteners determine fastener spacing S =Fsd/q

If glued, calculate shear stress at glue joint to make sure ok!

Design Cross-Section!!!!

Page 7: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,

EXAMPLES:

Page 8: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,
Page 9: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,
Page 10: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,
Page 11: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,
Page 12: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,
Page 13: Chapter 11 Design of Beams (Sections 1 and 2). Recall, with beams we have two stresses to deal with, normal stress, , and shear stress,