709_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

709_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 703 703 SECTION 8.5 Combined Loadings sx 0 sy 0 txy s1 s2 M r I sx sx sy txy s1 s2 tmax Vmax. Q T d01 + 2Ip I 2 t 01 sx + sy + 2 sx + sy A 2 tmax 17.863 MPa (compressive stress) a A txy a A sy sx b + t2 xy b + t2 xy 2 2 2 2 sy 2 sx b + t2 xy 2 3.41 MPa ; 3.41 MPa s1 MAX. TENSILE STRESS 0 sy sx a 3.408 MPa ; MAX. COMPRESSIVE STRESS T d01 2Ip sx + sy + 2 sx + sy A 2 a A txy 2 ; 3.41 MPa tmax MAX. SHEAR STRESS a sy sx b+ sy sx a A sy sx s2 2.977 MPa b + t2 xy 2 2 2 t2 xy NOTE: Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. 2 STRESS RESULTANTS AT POINT A3 2 b + t2 xy MAX. TENSILE STRESS s1 0.483 MPa ; MAX. COMPRESSIVE STRESS s2 18.35 MPa MAX. SHEAR STRESS ; tmax 9.42 MPa ; NOTE: Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. STRESS RESULTANTS AT POINT A2 sx M r I sy 0 txy s1 s2 sx T d01 2 Ip + sx + sy 2 A txy sx + sy 2 17.863 MPa (tensile stress) A 2.977 MPa a a sy sx b + t2 xy sy sx b + t2 xy 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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