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Using unit load method or Castigliano's second theorem for rigid jointed frame as shown in fig. Find a horizontal displacement of roller support. Take E=210$\times10^3 N/mm^2$, I=2$\times10^8 mm^4$
written 7.8 years ago by gravatar for teamques10 teamques10 ★ 70k modified 3.8 years ago by gravatar for pedsangini276 pedsangini276 • 4.8k

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 gravatar for teamques10 teamques10 ★ 70k •   modified 7.6 years ago

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$\begin{align} & \sum M_A=0 \\& 10\times3+\times4\times\frac{4}{2}-V_D\times4=0 \\& \boxed{V_D=27.5\ kN}\ (\uparrow) \\ \\ &\sum F_Y=0\ (\uparrow+ve) \\& V_A-(10\times4)+27.5=0 \\&\boxed{V_A=12.5\ kN}\ (\uparrow) \\ \\& H_A=-10\ kN \\& \boxed{H_A=10\ kN} \ (\leftarrow) \end{align}$


2. enter image description here

Region origin limit $M_u$ $m_u$ EI
AE A 0-3 10x 1x EI
EB E 0-2 10(x+3)-10x (1x+3) EI …

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