679_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

679_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:04 AM Page 673 SECTION 8.4 Maximum Stresses in Beams EQUIVALENT LOADS AT FREE END OF BEAM PH Pv P cos (60 deg) 5.629 kN PH Mc 3.25 kN PH c1 Pv P sin (60 deg) 190.938 N # m Mc STRESS RESULTANTS AT FIXED END OF BEAM N0 V PH N0 Pv M V Mc 3.25 kN 5.629 kN Pv L M 1.388 104 N # m Stress at point A (bottom of web) sx N0 Mc1 + A IZ sx Uniaxial stress: s1 s1 ; 0 31.951 MPa sy s2 s2 sx sy tmax ; 32.0 MPa txy 0 ` 0 sx ` 2 tmax 15.98 MPa Stress at point B (top of web) N0 A Q b t ac1 txy s1 s2 tmax t2 M1c1 sx sx t b 2 VQ Iz t 2 sx + sy 2 sx 2 sy 105 mm3 0 1.611 MPa sy b + t2 xy sy b + t2 xy A a sx a sx sy + A A txy sx + sy a Q 17.715 MPa 1.85 Iz b + txy2 2 2 2 s1 17.86 MPa ; 2 s2 0.145 MPa 2 tmax 9.00 MPa ; ; ; 673 ...
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