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

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