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697_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 697_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 8.5 Combined Loadings 691 Solution 8.5-14 Cylindrical tank r 50 mm t 3.0 mm p 3.5 MPa T 450 N m s allow 72 MPa C ROSS SECTION A 2 p rt 2 p (50 mm)(3.0 mm) 942.48 mm 2 I P 2 p r 3 t 2 p (50 mm) 3 (3.0 mm) 2.3562 10 6 mm 4 S TRESSES IN THE WALL OF THE TANK # Units: s x MPa, P newtons M AXIMUM TENSILE STRESS or Square both sides and simplify: 494.21 0.014501 P S OLVE FOR P P 34,080 N OR P max 34.1 kN ; 2 ( 14.583 + 0.00053052 P ) 2 + 91.189 28.250 0.00053052 P + 2 [ 14.583 + (530.52 * 10 6 ) P ] 2 + ( 9.5493) 2 72 43.750 + (530.52 * 10 6 ) P s x + s y 2 + A a s x s y 2 b 2 + t xy 2 s max s allow 72 MPa 9.5493 MPa t xy Tr I P (450 N # m)(50 mm) 2.3562 * 10 6 mm 4 s y pr t 58.333 MPa 29.167 MPa + 1.0610 * 10 3 P (3.5 MPa)(50 mm) 2(3.0 mm) + P 942.48 mm 2 s x pr 2 t + P A Problem 8.5-15 A post having a hollow circular cross section supports a horizontal load P 240 lb acting at the end of an arm that is 5 ft long (see figure). The height of the post is 27 ft, and its section modulus is

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697_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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