Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Question
Chapter 11, Problem 23CQ
To determine
The ratio of maximum stress at discontinuity to average stress in the specimen without discontinuity.
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An aluminium specimen with an initial gauge diameter d, = 10 mm and gauge length, 1, = 100 mm is
%3D
subjected to tension test. A tensile force P= 50 kN is applied
at the ends of the specimen as shown, resulting in an elongation of 1 mm in gauge length. The Poisson's
ratio (µ) of the specimen is
Take shear modulus of material, G = 25 GPa. Consider engineering stress-strain conditions.
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ANSWER A PLS
Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 43.1° and 47.9°, respectively, with the tensile axis. If the critical resolved shear stress is 20.7 MPa, will an applied stress of 45 MPa cause the single crystal to yield or slip? If not, what stress will be necessary?
Chapter 11 Solutions
Materials Science And Engineering Properties
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQCh. 11 - Prob. 20CQCh. 11 - Prob. 21CQCh. 11 - Prob. 22CQCh. 11 - Prob. 23CQCh. 11 - Prob. 24CQCh. 11 - Prob. 25CQCh. 11 - Prob. 26CQCh. 11 - Prob. 27CQCh. 11 - Prob. 28CQCh. 11 - Prob. 29CQCh. 11 - Prob. 30CQCh. 11 - Prob. 1ETSQCh. 11 - Prob. 2ETSQCh. 11 - Prob. 3ETSQCh. 11 - Prob. 4ETSQCh. 11 - Prob. 5ETSQCh. 11 - Prob. 6ETSQCh. 11 - Prob. 7ETSQCh. 11 - Prob. 8ETSQCh. 11 - Prob. 9ETSQCh. 11 - Prob. 10ETSQCh. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - Prob. 11.8PCh. 11 - Prob. 11.9PCh. 11 - Prob. 11.10PCh. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Prob. 11.13PCh. 11 - Prob. 11.14P
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- Consider a single crystal oriented such that the slip direction and normal to the slip plane are at angles 42.7° and 48.3°, respectively, with the tensile axis. If the critical resolved shear stress is 26.3 MPa, what applied stress (in MPa) will be necessary to cause the single crystal to yield? i MPaarrow_forwarda) plot how the critical stress intensity kc depends on the thickness and explain this?arrow_forwardAt a point in a strained material, tensile stress of 100 MPa and compressive stress of 60 MPa are found to be principal stresses. Maximum shear stress at that point is:arrow_forward
- A plate in equilibrium is subjected to uniform stresses along its edges with magnitude o = 30 %3D MPa and ow = 50 MPa as shown in the figure. %3D = 50 MPa %3D O = 30 MPa XX ple The Young's modulus of the material is 2 x 1011 N/m2 and the Poisson's ratio is 0.3. If o is negligibly small and assumed to be zero, then the strain Ezz isarrow_forward6.46 For some metal alloy, a true stress of 345 MPa e (50,000 psi) produces a plastic true strain of 0.02. How much does a specimen of this material elongate when a true stress of 415 MPa (60,000 psi) is applied if the original length is 500 mm (20 in.)? Assume a value of 0.22 for the strain-hardening exponent, n.arrow_forwardThe value of strain if stress is 35 MPa and Youngs modulus 65 MPaarrow_forward
- In a plane stress condition, the principle stresses of 100 MPa (Compressive) and 50 MPa (Tensile) are acting on XY plane. The yield stress of material as per maximum shear stress theory if FOS is 2.5 isarrow_forward5.)arrow_forwardA prismatic bar has a cross-section of 25 mm by 50 mm and a length of 2000 mm. Under an axial load of 100 kN, the measured elongation of the bar is 2mm. The tensile stress and % strain in the bar arearrow_forward
- Failure of engineering materials A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa is exposed to a stress of 1766 MPa. Assume that the parameter Y has a value of 1.6.If the largest surface crack is 0.5236 mm long, determine the critical stress .arrow_forwardWhich of the following is correct regarding the principal stress and maximum in-plane shear stress? a) The shear stress over principal stress planes is zero, b) The maximum in-plane shear stress is always smaller than the principal stresses, c) A principal stress plane can be reached by rotating the maximum in-plane shear stress plane 90 degrees in the clockwise direction, d) Principal stress can not be negative.arrow_forwardAt a point in a strained material, tensile stress of 100 MPa and compressive stress of 60 MPa are found to be principal stresses Maximum shear stress at that point is: O 60 MPa O 20 MPa O 40 MPa O 80 MPaarrow_forward
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