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Using unit load method (virtual-work method) for rigid jointed frame shown in fig. calculate a horizontal displacement ($\Delta D_H$)

Subject: Structural Analysis 1

Topic: Deflection of Beams using Energy Method

Difficulty: High

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1 Answer
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1. Reaction

$\begin{align} &\sum M_A=0\ (\circlearrowright+ve) \\& 10\times3\times\frac{3}{2}+15\times3-V_D\times5=0 \\& \boxed{V_D=18\ kN\ (\uparrow)} \\ \\& \sum F_Y=0\ (\uparrow+ve) \\&V_A-15+18=0 \\& V_A=-3\ kN \\& \boxed{V_A=-3\ kN\ (\downarrow)} \\ \\& \sum F_X=0\ (\rightarrow+ve) \\&H_A=10\times3=0 \\&H_A=-30\ kN \\& \boxed{H_A=-30\ kN\ (\leftarrow)} \end{align}$

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2. Table: [$\circlearrowright|\circlearrowleft+ve$]

Region origin Limit Mu Mu(H) EI
AB A 0-3 …

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