The figure shows a rigid triangular plate B C D which is pinned at C, supported at B by a horizontal rod of length 1200 millimeters and supported at D by a vertical post of height 600 millimeters. The clearance between the post and the plate is 1.5 millimeters. The post is fixed to the ground at E and the rod is fixed to a wall at A. The plate has dimensions 600 millimeters along C D and 480 millimeters along B C. A load P directed vertically downwards acts on the plate and this causes the plate to rotate about C and makes contact with the post at D. The plate is deflected by v subscript D at the point D and the rod elongates by v subscript B at the point B. The post is compressed by 1.08 millimeters.

VB480 mm=2.58 mm600 mm    VB=2.064 mm

Since member (1) is connected to the rigid plate at B, it elongates by 2.064 mm. Use this elongation to determine the strain in member (1).

ε1=2.064 mm1,200 mm   =0.00172 mm/mm   =1,720 με

Finished