485_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

485_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 2:29 PM Page 479 479 SECTION 5.12 Beams with Axial Loads Solution 5.12-5 Palm tree M P1L1 cos 60° P2 L2 cos 60° [(900 lb)(144 in.) + (100 lb)(360 in.)] cos 60° 82,800 lb-in. N (P1 + P2) sin 60° (1000 lb) sin 60° FREE-BODY DIAGRAM MAXIMUM TENSILE STRESS P1 900 lb st P2 100 lb L1 12 ft 144 in. L2 30 ft 360 in. d 14 in. A pd2 4 153.94 in.2 S pd3 32 269.39 in.3 N M + A S 82,800 lb-in. 866 lb 2 + 153.94 in. 5.6 psi + 307.4 psi 269.39 in.3 302 psi sc 5.6 psi 307.4 psi 313 psi T a L Solution 5.12-6 d2 t 220 mm d1 PN V d1 2 a 20° A p 1d 2 42 d1 22 A 2.356 * 104 mm2 L 2.5 m p 1d 4 64 2 I I d1 42 1.867 * 108 mm4 T sin (a) M 280 mm d2 T cos (a) VL + PN a ; 1.5 d2 d2 90 MPa ; MAXIMUM COMPRESSIVE STRESS Problem 5.12-6 A vertical pole of aluminum is fixed at the base and pulled at the top by a cable having a tensile force T (see figure). The cable is attached at the outer edge of a stiffened cover plate on top of the pole and makes an angle a 20° at the point of attachment. The pole has length L 2.5 m and a hollow circular cross section with outer diameter d2 280 mm and inner diameter d1 220 mm. The circular cover plate has diameter 1.5d2. Determine the allowable tensile force Tallow in the cable if the allowable compressive stress in the aluminum pole is 90 MPa. sallow 866 lb (Axial force) (Shear force) 1.5 d2 b 2 (Moment). d1 d2 ...
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