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The force in BF of the truss shown in the figure below is All the members of a truss are identical in all respect.(Where, FB = L, AC=L & AB=2L)

The force in BF of the truss shown in the figure below is All the members of a truss are identical in all respect.(Where, FB = L, AC=L & AB=2L) Correct Answer 4.5 t compression

Calculation

ΣFy = 0

 i.e. RA + RB = 5t

ΣMA = 0

 4t × L + 5t × L = RB × 2L

RB = 9t/2 = 4.5t

Taking joint B,

[ alt="F3 A.M Madhu 12.05.20 D1" src="//storage.googleapis.com/tb-img/production/20/05/F3_A.M_Madhu_12.05.20_D1.png" style="width: 208px; height: 209px;">

[ alt="F1 N.M. Nita 06.11.2019 D 10" src="//storage.googleapis.com/tb-img/production/19/11/F1_N.M._Nita_06.11.2019_D%2010.png" style="width: 78px; height: 73px;">

Force direction is towards joint B ∴ Compressive

∴ FB.F = 4.5 t (compression)

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