Rigid joint plane frame, draw AFD,SFD and BMD, given frame

46views

written 6.9 years ago by

teamques10 ★ 68k

• modified 6.7 years ago

1.Support reaction calculation:

$\begin{align} & \sum M_A=0 \ ( \circlearrowright +ve) \\ &15 \times2 + 10\times2 -V_D \times7=0 \\ & \boxed {V_d = 7.14\ kN} \uparrow \\ \\ & \sum F_Y = 0 (\uparrow +ve) \\ &V_A-10+7.14=0 \\ & \boxed{V_A=2.86 \ kN} \uparrow \\ \\ & \sum F_X=0 (\rightarrow +ve) \\ & 15+H_A=0 \\ & \boxed{H_A=-15 \ kN} \leftarrow \end{align}$

2.Consider part 'AB'

enter image description here

$\begin{align} BM_E=15\times2=\underline{30 \ kNm} \end{align}$ [For BMD always see the original diagram]

3.Consider part 'BC'

enter image description here

BM calculation :

$\begin{align} &B.M_B=30 \ kNm \\ & B.M_F =7.14\times5 =\underline{35.7 \ kN.m} \\ & B.M_C=7.14 \times3=\underline{21.42 \ kN.m} \end{align}$

4.Consider part 'CD'

enter image description here

ADD COMMENT EDIT