Subject : Structural Analysis 1

Topic : Axial Force, Shear Force, & Bending Moment

Difficulty : Medium

1. Support reaction calculation :-

$\begin{align} &\sum M_A=0 \ (\circlearrowright +ve) \\ & 10 \times 2 +15 \times 4 \times \frac {4}{2} - V_D \times4 =0\\ &\boxed {V_D=35 \ kN}\\ &\sum F_Y=0 \ (\uparrow +ve) \\ & V_A -(15\times4)+35=0\\ &\boxed {V_A=25 \ kN} \\ &\sum F_X=0 \ (\rightarrow +ve) \\ & -H_A -10=0\\ &\boxed {H_A=-10 \ kN} \end{align}$

2. Consider part AB

B.M calculation

$\begin{align} B.M_B=&10\times4-10\times2\\&=40-20\\&=\underline{20\ kN.m} \end{align}$

3. Now consider part 'BC'

4. Now consider part 'CD'