705_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

705_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:08 AM Page 699 SECTION 8.5 Combined Loadings 699 Solution 8.5-20 P 1.0 kN sx b1 80 mm sy b2 120 mm b3 40 mm txy s1 PROPERTIES OF THE CROSS SECTION d 20 mm A p2 d 4 A p4 d 64 d 2 I I r s2 314.159 mm 155.972 MPa (compressive) 0 M xd 2Ip 2 sx + sy A 2 Ip 2I Ip Q 23 rQ 3 1.571 4 a A 76.394 MPa 10 mm 666.667 mm3 Vx P 0 (Shear force in Y-dir.) Vz P sx A b + t2 xy 2 2 Pb2 Mx 2 s1 P (b1 My s2 tmax (b) STRESSES AT POINT B P b2 (Bending Moment) Mz 109.2 MPa 120 kN # mm Mz Vx + r A I sx (Torsional Moment) b3) (Bending Moment) (a) STRESSES AT POINT A sx 149.606 MPa (tensile) sy 0 txy s1 s2 sx Vx A My I r ; ; 187.2 MPa 120 kN # mm Mz 31.2 MPa 120 kN # mm My 2 (Shear force in Z-dir.) Mx b + t2 xy 2 2 MAX. COMPRESSIVE STRESS (Axial force in X-dir.) Vy sy a sx MAX. SHEAR STRESS STRESS RESULTANTS AT THE SUPPORT b + t2 xy sx MAX. TENSILE STRESS 4 sy a sy + 2 103 mm4 sy sx tmax 7.854 txy tmax Vz Q Mxd + 2Ip Id sx + sy 2 sx + sy A 80.639 MPa sy b + t2 xy sy b + t2 xy 2 sx 2 A a sx a sx sy + a A txy b + t2 xy 2 2 2 2 2 ; ...
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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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