(b) A portal frame ABCD is hinge-supported at A and roller-supported at D, as shown in Figure Q2(b). All members have the same modulus of elasticity E and second moment of area I. It is acted upon by a uniformly distributed load w on CD. Derive expressions for the horizontal deflection o and rotation &b at D. Elaborate the assumptions made in the above derivation and the likely errors caused.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.36P: A framework A BCD is acted on by force P at 2L/3 from 8(see figure). Assume that 7f/is constant....
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(b) A portal frame ABCD is hinge-supported at A and roller-supported at D, as shown in
Figure Q2(b). All members have the same modulus of elasticity E and second moment
of area I. It is acted upon by a uniformly distributed load w on CD. Derive expressions
for the horizontal deflection &o and rotation Ob at D. Elaborate the assumptions made
in the above derivation and the likely errors caused.
C
Young's modulus = E
Second moment of area = I
A
D
Figure Q2(b)
H
Transcribed Image Text:(b) A portal frame ABCD is hinge-supported at A and roller-supported at D, as shown in Figure Q2(b). All members have the same modulus of elasticity E and second moment of area I. It is acted upon by a uniformly distributed load w on CD. Derive expressions for the horizontal deflection &o and rotation Ob at D. Elaborate the assumptions made in the above derivation and the likely errors caused. C Young's modulus = E Second moment of area = I A D Figure Q2(b) H
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