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Using unit load method or Castigliano's second theorem for rigid jointed frame as shown in fig. Calculate a horizontal displacement of roller support at D. Take $E=210 GPa$, $I=4\times10^8mm^4$
written 6.3 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 2.3 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 6.3 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 6.1 years ago

$\begin{align} &\left\{ \tan Q=\frac{5}{3} ;\ Q=59.03 ^{\circ} \right\} \\&\sum M_A=0\ (\circlearrowright+ve) \\& 25\times5+30\times4\times\frac{4}{2}-V_D\times7=0 \\& \boxed{V_D=52.14\ kN} \\ \\&\sum F_Y=0\ (\uparrow+ve) \\& V_A-30\times4+52.14=0 \\& \boxed{V_A=67.86\ kN} \\ \\&\sum F_Y=0\ (\rightarrow+ve) \\& H_A+25=0 \implies H_A=-25\ kN \\& \boxed{H_A=25\ kN}\ (\leftarrow) \end{align}$

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$l=\sqrt{5^2+3^2} \\ l=\underline{5.83\ m}$

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Region origin limit $M_u$ $m_u$ EI
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