02-04ChapGere.0005

02-04ChapGere.0005 - 126 A-PDF Axially Loaded : Purchase...

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126 CHAPTER 2 Axially Loaded Members D T 5 50 8 C (Increase) a 5 17.5 3 10 2 6 / 8 C E 5 120 GPa S TRESS DUE TO TEMPERATURE INCREASE s x 5 E a ( D T ) (See Eq. 2-18 of Section 2.5) 5 105 MPa (Compression) M AXIMUM SHEAR STRESS 5 52.5 MPa t max 5 s x 2 S TRESSES ON ELEMENTS A AND B N OTE : All stresses have units of MPa. A B 45 ° y x 0 52.5 52.5 52.5 52.5 52.5 u = 45 ° B A 105 105 52.5 Elongation: d 5 0.00120 in. (2 in. gage length) Hooke’s law : s x 5 E e 5 (30 3 10 6 psi)(0.00060) 5 18,000 psi (a) M AXIMUM NORMAL STRESS s x is the maximum normal stress. s max 5 18,000 psi Strain: e 5 d L 5 0.00120 in. 2 in. 5 0.00060 (b) M AXIMUM SHEAR STRESS The maximum shear stress is on a 45 8 plane and equals s x /2. (c) S TRESS ELEMENT AT u 5 45 8 N OTE : All stresses have units of psi. t max 5 s x 2 5 9,000 psi TT 2 in. y x 0 9,000
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