Problem 4-108/4-109/4-110/ Engineering Mechanics Materials

Engineering Mechanics problem with solution
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4–108. The rigid beam is supported by the three posts A, B , and C of equal length. Posts A and C have a diameter of 75 mm and are made of a material for which E = 70 GPa and
sY = 20 MPa. Post B has a diameter of 20 mm and is made of a material for which E = 100 GPa and sY! = 590 MPa.
Determine the smallest magnitude of P so that (a) only rods A
and C yield and (b) all the posts yield.

4–109. The rigid beam is supported by the
three posts A, B , and C . Posts A and C have a diameter of 60 mm and are made of a material for which E = 70 GPa and sY = 20 MPa.Post B is made of a material for which
E = 100 GPa and sY= 590 MPa. If P = 130 kN , determine the diameter of post B so that all three posts are about to yield. (Do not assume that the three posts have equal uncompressed lengths.)

4–110. The wire BC has a diameter of 0.125 in. and the material has the stress–strain characteristics shown in the figure.
Determine the vertical displacement of the handle at D if the pull at the grip is slowly increased and reaches a magnitude of
(a) P = 450 lb, (b) P = 600 lb. Assume the bar is rigid.