Find the vertical deflecttions of the Joint C of the loaded truss shown in fig. The cls area of members CD & DE are each $250mm^2$ & those of the other members are each $1250mm^2.$Take$E=200\ kN/mm^2$

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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: High

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structural analysis

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written 7.8 years ago by

teamques10 ★ 70k

• modified 7.6 years ago

Analysis of truss due to given loading:

We have,

$AC=2\cos(30^\circ)=2\sqrt3\ m \\ \sum M_A=0\ gives(\circlearrowright+ve) \\ H_e\times2=40\times2\sqrt3 \\ \therefore \boxed{H_e=40\sqrt3\ kN\rightarrow} \\ \boxed{V_A=40\ kN\uparrow} \\ \boxed{H_a=40\sqrt3\ kN\rightarrow}$

P-Analysis

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1. Joint C:

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$\begin{align} &\sum F_Y=0(\uparrow+ve) \\& -40-P_{CD}\sin30=0 \\& P_{CD}=-80\ kN \\&\boxed{ P_{CD}= 80\ kN\ (C)} \\ \\&\sum F_X=0(\rightarrow+ve) \\& -P_{CD}\cos30-P_{CB}=0 \\& …

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