A 5-mm-thick rectangular alloy bar is subjected to ajtensile load P by pins at A and B, as shown in the figure. The width of the bar is w =33 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: €, =710με and ε,--255 με(a) Determine Poisson's ratio for this specimen.(b) If the measured strains were produced by an axial load of P = 24 kN, what is the modulus of elasticity for this specimen?Answers:(a) v=(b) E=GPa

Answered: A 5-mm-thick rectangular alloy bar is…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b₁ = 33 mm, d₁ = 109 mm, b₂ = 20 mm, d₂ = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a M B A Answer: M = L d₂ N•m b₁ d₁
The graph in Unconfined test is a -----------graph Shear Stress vs. shear Strain Axial Stress vs. Vertical Strain Axial Stress vs. lateral Strain Shear Stress vs. Vertical Strain
2. The Goodman diagram relates oa and om for fatigue failure after a specific number of cycles Nf, where da is the cyclic stress amplitude, and om the mean stress. For a steel specimen it is found that oa oa (0). [1- (om/OTS)] where Ors is the metal's tensile stress (375MPa), and oa (0)~0.450TS is the 107 cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < 107 cycles is to be avoided? Ans: 233 MPa
6. Derive the resolved shear stress(RSS) equation for dislocation at an arbitrary plane at angle (e) with horizontal under nominal axial tensile stress(o) and plot the variation of Schmidt factor with
A steel specimen is tested in tension. The specimen is 25 mm wide by 12.5 mm thick in the test region. By monitoring the load dial of the testing machine, it was found that the specimen yielded at a load of 160 kN and fractured at 214 kN. a. Determine the tensile stress at yield and at fracture. b. If the original gauge length was 100 mm, estimate the gauge length when the specimen is stressed to 1/2 the yield stress.
Solve it correctly please.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 93 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 9 MPa. Determine the %3D largest moment M that can be applied as shown to the beam. b2 M d2 d1 | A B L b1 Answer: M = i N•m
A steel plate used for polymer forming is to be bent into a circular shape having an inside radius of 10 m. What maximum thickness can be used for the plate if the normal stress is not to exceed 267 MPa? Assume that the modulus of elasticity for the steel is 201 GPa.
For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of this material elongate when a true stress of 411 MPa (59610 psi) is applied if the original length is 450 mm (17.72 in.)? Assume a value of 0.22 for the strain-hardening exponent, n. i mm

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