701_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

701_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:06 AM Page 695 695 SECTION 8.5 Combined Loadings Solution 8.5-17 PIPE: d2 10.5 in. 8.5 in. c d2 2 I Ip Q W1 4000 lb As (8)(3) ft sx 2 Area As 2 24 ft Height from the base to the center of gravity of the sign Horizontal distance from the center of gravity of the sign to the axis of the pipe b a (4)12 + b s1 10.5 b in. 2 pw P s2 P STRESS RESULTANTS AT THE BASE M Ph M T Pb T V P V W2 4.082 4.473 sy 345 psi A 6145 psi ; ; sx + sy + 2 A sx + sy 2 sy sx a 2 s1 a 2 b + t2 xy 6164 psi sy sx 2 ; 2 b + t2 xy 840 lb s2 tmax A ; 19.30 psi a sy sx 2 2 b + t2 xy 105 lb # in. 104 lb # in. 840 lb Nz T d2 2Ip Md2 2I txy + A Max. compressive stress 35 lb/ft2 pw As Nz Max. tensile stress 500 lb WIND PRESSURE ; 0 (b) MAXIMUM STRESSES AT POINT A 53.25 in. W2 W1 sy sxy 3 b ft 2 a 42 h Nz (a) STRESSES AT POINT A p2 1d d 22 A 29.845 in.2 1 42 p4 I 340.421 in.4 1d 2 d 42 1 64 2I Ip 680.842 in.4 13 Q 45.292 in.3 1d d 32 1 12 2 A SIGN: d1 4.5 103 lb Max. shear stress tmax 3092 psi ; NOTE: Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. ...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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