Question

The ratio of force in the members 2-3 to 3-4 for the given truss is

• A. 2
• B. 3
• C. 4
• D. 1

Answer 1

The correct option is B 3




Vertical reaction @ 5

$V_5\times 6+50\times 3=25\times 3+25\times 6$

$V_5=12.5kN$

Cut 1 - 1
Consider R.H.S


$\Rightarrow \sum M_B=0$

$\Rightarrow F_{34}\times 3=25\times 3$

$F_{34}=25kN$

Cut 2-2 consider LHS


$\sum M_7=0$

$\Rightarrow F_{23}\times 3=12.5\times 6+50\times 3$

$F_{23}=75kN$

$\therefore \frac{F_{23}}{F_{34}}=\frac{75}{25}=3$