Using unit load method or any other energy method, find the vertical deflection of joint 'E' of a pin jointed truss loaded & supported as shown in fig. Take AE = constant in cell number.

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written 7.8 years ago by

teamques10 ★ 70k

• modified 3.9 years ago

Subject: Structural Analysis 1

Topic: Deflection of Beams using Energy Method

Difficulty: Medium

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structural analysis

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1 Answer

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written 7.8 years ago by

teamques10 ★ 70k

• modified 7.6 years ago

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1. Reaction

$\begin{align} &\sum M_A=0\ (\circlearrowright+ve) \\& 12\times3+18\times4-V_B\times120 \\& \boxed{V_B=9\ kN}\ (\uparrow) \\ \\&\sum F_X=0\ (\rightarrow+ve) \\& H_A+12=0 \\& H_A=-12\ kN \\& \boxed{H_A=12\ kN}\ (\leftarrow) \\ \\& \sum F_y=0\ (\uparrow+ve) \\& V_A-18+9=0 \\& \boxed{V_A=9\ kN}\ (\uparrow) \end{align}$

2. P-Analysis:

Joint A:

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$ \tan \theta=\frac{3}{4} ; \sin \theta=\frac{3}{5};\cos \theta=\frac{4}{5}$

$\begin{align} &\sum …

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