Computer · Structural Analysis
Select the correct slope deflection equation for the member 'BA' of a portal frame ABCD that is fixed at 'A' and 'D' with rigid joints at 'B' and 'C'. The height of columns AB and CD is L, and the length of beam BC is L. The moment of inertia of 'AB' is 2I, and for 'BC' and 'CD' is I. There is a horizontal sway δ to the right, and no external loads are applied on member AB.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 12LEI(2θB + 2θC)
- 24LEI(θB - δ)
- 34LEI(2θB - 3δL)✓
- 42LEI(θB + 2θC)
Correct answer
4LEI(2θB - 3δL)
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