Problem M9
(Materials and Structures)
In the truss shown below determine the deflection of point D under the 10kN load shown
(horizontal and vertical components). The force-displacement relationship for the bars (in
FL
the absence of any temperature change) is given by
d
=
where
d is the bar extension, L,
AE
the length of the bar, A, the bar cross-section and E the Young's Modulus. For the bars in this
problem A = 500 x 10-6 m2, E = 70 x 109 N/m2 . Assume that the deformations of the bars are
small compared to their length.
Angles BAC and ACD are both right angles, BC and AD are parallel to each other.
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