Question 1

(a) $M_{A}=100\mathrm{\,kNm}$, $M_{B}=-313\mathrm{\,kNm}$ 

(b) $C_{y}=33.9\mathrm{\,kN}\uparrow$, $M_{B}=-218\mathrm{\,kNm}$

(c) $M_{B}=120\mathrm{\,kNm}$, $M_{A}=-308\mathrm{\,kNm}$ 

(d) $A_{y}=183.8\mathrm{\,kN}\uparrow$, $M_{B}=135\mathrm{\,kNm}$

Question 2

(a) $B_{y}=105.3\mathrm{\,kN}\uparrow$, $M_D^{DC}=360\mathrm{\,kNm}$

(b) $B_{x}=320\mathrm{\,kN}\leftarrow$, $M_C^{CA}=-365\mathrm{\,kNm}$

(c) $A_{y}=67.3\mathrm{\,kN}\uparrow$, $M_B=-616\mathrm{\,kNm}$

Question 3

(a) $F_{BC}=2.07\mathrm{\,kN}$ (T), $F_{DE}=60.6\mathrm{\,kN}$ (T)

(b) $F_{AD}=47.5\mathrm{\,kN}$ (T), $F_{DE}=65.0\mathrm{\,kN}$ (T)

(c) $F_{BC}=62.7\mathrm{\,kN}$ (T), $F_{DE}=83.5\mathrm{\,kN}$ (T)

Question 4

(a) $B_{y}=162.7\mathrm{\,kN}\uparrow$, $C_{y}=18.0\mathrm{\,kN}\uparrow$, $M_{B}=-90\mathrm{\,kNm}$

(b) $B_{y}=163.8\mathrm{\,kN}\uparrow$, $M_{A}=110.5\mathrm{\,kNm}$, $M_{B}=-100.7\mathrm{\,kNm}$

(c) $B_{y}=180\mathrm{\,kN}\uparrow$, $M_{b}=334.3\mathrm{\,kNm}$, $M_{centre}=370\mathrm{\,kNm}$

(d) $B_{y}=231\mathrm{\,kN}\uparrow$, $D_{y}=288\mathrm{\,kN}\uparrow$, $E_{y}=105.5\mathrm{\,kN}\uparrow$, $M_{B}=-115.2\mathrm{\,kNm}$

Question 5

(a) $A_{x}=182.9\mathrm{\,kN}\rightarrow$, $M_{A}=320\mathrm{\,kNm}$, $M_{B}=288\mathrm{\,kNm}$

(b) $A_{y}=4.9\mathrm{\,kN}\downarrow$, $C_{x}=69.2\mathrm{\,kN}\leftarrow$

Question 6

$A_{y}=348\mathrm{\,kN}\uparrow$, $M_{B}=792\mathrm{\,kNm}$

Question 7

$C_{y}=9.8\mathrm{\,kN}\uparrow$, $M_{B}=-372\mathrm{\,kNm}$

Question 8

$B_{y}=135.4\mathrm{\,kN}\uparrow$, $M_{A}=171.9\mathrm{\,kNm}$, $M_{B}=-43.8\mathrm{\,kNm}$

Question 9

$F_{AD}=128\mathrm{\,kN}$ (T), $F_{AB}=102\mathrm{\,kN}$ (C)

Question 10

$F_{AB}=39.1\mathrm{\,kN}$ (C), $F_{DE}=33.4\mathrm{\,kN}$ (T)