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CHAPTER 11 PROBLEM 11.1 Determine the modulus of resilience for each of the following grades of structural steel: (a) ASTM A709 Grade 50:  Y  50 ksi (b) ASTM A913 Grade 65:  Y  65 ksi (c) ASTM A709 Grade 100:  Y  100 ksi SOLUTION Structural steel: E  29  106 psi for all three steels given. (a)  Y  50 ksi  50  103 psi
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  CCHHAAPPTTEER R  1111    PROPRIETARY MATERIAL.  Copyright © 2015 McGraw-Hill Education.  This is proprietary material solely for authorized instructor use.  Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. 1791 PROBLEM 11.1 Determine the modulus of resilience for each of the following grades of structural steel: ()ASTM A709 Grade50:50ksi()ASTM A913 Grade65:65ksi()ASTM A709 Grade100:100ksi Y Y Y  abc        SOLUTION Structural steel: 6 2910psi  E     for all three steels given. ( a ) 3 50ksi5010psi Y          2326 (5010)2(2)(2910) Y Y  u E         3 43.1in.lb/in Y  u        ( b ) 3 65 ksi6510psi Y          2626 (6510)2(2)(2910) Y Y  u E         3 72.8in.lb/in Y  u        ( c ) 3 100ksi10010psi Y          2326 (10010)2(2)(2910) Y Y  u E         3 172.4in.lb/in Y          PROPRIETARY MATERIAL.  Copyright © 2015 McGraw-Hill Education.  This is proprietary material solely for authorized instructor use.  Not authorized for sale or distribution in any manner. This document may not be copied, scanned, duplicated, forwarded, distributed, or posted on a website, in whole or part. 1792 PROBLEM 11.2 Determine the modulus of resilience for each of the following aluminum alloys: ()1100-H14:70GPa55MPa()2014-T6:72GPa220MPa()6061-T6:69GPa150MPa         Y Y Y  a E b E c E    SOLUTION Aluminum alloys: ( a ) 96 7010Pa5510Pa Y   E           262339 (5510)21.610Nm/m2(2)(7010) Y Y  u E            3 21.6kJ/m Y  u       ( b ) 96 7210Pa22010Pa Y   E           262339 (22010)33610Nm/m2(2)(7210) Y Y  u E            3 336kJ/m Y  u       ( c ) 96 6910Pa15010Pa Y   E           262339 (15010)163.010Nm/m2(2)(6910) Y Y  u E            3 163.0kJ/m Y  u     
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