Problem 6.59Given: A wide flange steel I-beam is 8.0 m long and dimensions shown. The I-beam is fixed at one endand free at the other end. A twisting moment of 7 kN-m is applied at the free end. Determine the maximum normal stress and maximum shear stress in the I-beam and the rotation of thefree end.Solution:300 mm270 mm 20 mm 15 mm E200 GPa⋅:=G77.5 GPa⋅:=L8m⋅:=T7000 N⋅m⋅:=Imin220⋅mm⋅270 mm⋅()3⋅12260 mm⋅15 mm⋅3⋅12+:=Imin6.568105−×m4=J132 270⋅mm⋅20 mm⋅3⋅260 mm⋅15 mm⋅3⋅+⎣⎦⋅1.733106−×m4=:=h280 mm⋅:=αh2EImin⋅JG⋅⋅:=α1.385 m
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This note was uploaded on 01/11/2011 for the course MAE 3040 taught by Professor Mechanicsofsolids during the Spring '10 term at Utah State University.