Truss Problem - Statics

Classical Mechanics Level 2

Determine the force in the top chord of the truss (Member CD) under the given load conditions. An external load of 5 KN is applied horizontally at node D. A vertical load of 10 KN is applied downward at node C. Express your answer in Newtons.

6333 5000 4000 3333 2500

2 solutions

A Former Brilliant Member
Dec 2, 2019

Let $A_v$ = vertical reaction at A and $B_v$ = vertical reaction at B

Summation of moments at A = 0:

$B_v(14)=10(4)+5(6)$

$B_v=5 kN$

Summation of moments at B = 0:

$A_v(14)+5(6)=10(10)$

$A_v=5 kN$

Cut a section thru CD to FE. Take summation of moments at F = 0:

$CD(6)=A_v(4)$

$CD(6)=5(4)$

$CD = 3.33 kN = \boxed{\text{3333.33 Newtons-compression}}$

Truss Problem - Statics

2 solutions

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