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week1-3 - Sample SampleProblem Stress 1. showninFig.P1.7...

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Sample Problem Stress 1.7 Axial loads are applied with rigid b i l h l d l d l d bearing plates to the solid cylindrical rods shown in Fig. P1.7. The diameter of aluminum rod (1) is 2 00 in The diameter of aluminum rod (1) is 2.00 in., the diameter of brass rod (2) is 1.50 in., and the diameter of steel rod (3) is 3.00 in. Determine the axial stress in each of the three rods.
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FBD of each section
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Sample Problem Strain 2 3 A rigid steel bar is supported by three rods as 2.3 A rigid steel bar is supported by three rods, as shown in Fig. P2.3. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rods (1) is 2,800 μ m/m. Assume initial rod lengths of L1 = 1,250 mm and L2 = 2,000 mm. Determine: (a) the normal strain in rod (2). (b) the normal strain in rod (2) if there is a 2 mm gap in the connections between the rigid bar and rods (1) j i A d C b f h l d i li d at joints A and C before the load is applied. (c) the normal strain in rod (2) if there is a 2 mm gap in the connection between the rigid bar and rod (2) at joint B before the load is applied.
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Deflection + gap 2mm gap at joints A and C 2mm gap at joint B
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Sample problem Modulus
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Stress Strain curve Stress Strain curve The largest stress is called the ultimate stress.
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