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Member (1) has its length of 1.0 m at a temperature of 30 oC, distance from A to

ID: 1826804 • Letter: M

Question

Member (1) has its length of 1.0 m at a temperature of 30 oC, distance from A to B is 2.0 m and distance from B to C is 1.0 m 1.


A Rigid bar ABC is supported by a pin at A and a 150-mm wide by 20-mm-thick aluminum (E=80 GPa; ?=24.5 x 10-6/oC, v=0.35) alloy bar at B and initially stays horizontally. A strain gage affixed to the surface of aluminum bar is used to measure its longitudinal strain. Before load P is applied to the rigid bar at C, the strain gage measures zero longitudinal strain at an initial ambient temperature of 30 oC. After load P is applied on the rigid bar at C with the same ambient temperature of 30 oC, a longitudinal strain of 3,500

Explanation / Answer

See here you dont need to use poisson ratio here unless the strain is specified in x direction

since the strain in y directioin is?y =1/E (?y - v(?x+?z)

now?z = 0, as well as?x =0

so we get strain in y ?y =?/E .


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