Problem #4 (25 points): All members of the truss shown below are made of steel (E = 190 GPa; Sy = 200 MPa) and have an identical, square cross section of side w. The truss is supported by a pin at A and a roller at C. A vertical load P is applied to the truss at joint B. The truss is to be designed to fail in crushing (i.e. yielding) and buckling at the same time. Assume pinned-pinned connections at all truss joints. Calculate: Р B 6 m (a) The required cross sectional dimension, w, of the critical member. (b) The maximum force P that can be applied. A D C↓ 8 m 8 m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
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Problem #4 (25 points): All members of the truss shown below are made of steel (E = 190 GPa;
Sy = 200 MPa) and have an identical, square cross section of side w. The truss is supported by a
pin at A and a roller at C. A vertical load P is applied to the truss at joint B. The truss is to be
designed to fail in crushing (i.e. yielding) and buckling at the same time. Assume pinned-pinned
connections at all truss joints. Calculate:
Р
B
6 m
(a) The required cross sectional dimension, w,
of the critical member.
(b) The maximum force P that can be applied.
A
D
C↓
8 m
8 m
Transcribed Image Text:Problem #4 (25 points): All members of the truss shown below are made of steel (E = 190 GPa; Sy = 200 MPa) and have an identical, square cross section of side w. The truss is supported by a pin at A and a roller at C. A vertical load P is applied to the truss at joint B. The truss is to be designed to fail in crushing (i.e. yielding) and buckling at the same time. Assume pinned-pinned connections at all truss joints. Calculate: Р B 6 m (a) The required cross sectional dimension, w, of the critical member. (b) The maximum force P that can be applied. A D C↓ 8 m 8 m
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