Question

A truss structure is used to build the transmission tower shown with dimensions and loads shown below.

Assuming the structure does not deform out-of-plane, and that none of the members buckle, find the force and stress that each member named in the table below carries and the change in length of each of those members if they are composed of structural steel.

a

b

c

d

h

F1F1

θθ

F2F2

ϕϕ

1.9 m3.4 m2.4 m5.2 m9.5 m6 kN54 deg6.7 kN23 deg

Members:
(Denote tension forces, tensile stresses, and elongations with positive values; compressive forces, compressive stresses and compactions with negative values.)

Member

Cross-
Sectional
Area

(mm2)(mm2)

Force

Stress

Change in
Length

BCBC

260




BPBP

200




PQPQ

260




PCPC

200




CDCD

260




DPDP

200




NPNP

260





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