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Lectures 37-39: Combined loading - Purdue University

ME 323 Mechanics of MaterialsLectures 37-39: Stress due to Combined loadingJoshua PribeFall 2019 Lecture Book: Ch. 14 Objectives for Combined loading problems Determine the normal and shear stresses at points on a cross section due to Combined axial, torsion, and bending loading Determine the principal stresses and maximum shear stress at these points UseMohr scircle wewillalwaysbein a state planestress,butnotnecessarily in the x-y plane2 Review: Internal resultants in 3 dimensions3 See Superposition of six sets of stress componentson the Animations and Demos page of the course blogLoadType of stressStressdistributionLecture book force FxShearforce VyShearforce VzTorque (torsional moment) TxBendingmomentMyBendingmomentMzNormalNo rmalNormalShearShearShear/xxFA =yxyzzVQIt =zxzyyVQIt =/pTI =Note:subscripts (xzor xy) for shear stress due to torquedepend on the point of interest on the cross section/xyyyM z I =/xzzzM y I = Ch.

Objectives for combined loading problems •Determine the normal and shear stresses at points on a cross section due to combined axial, torsion, and bending loading •Determine the principal stresses and maximum shear stress at these points •Use Mohr’scircle –we will always be in a state plane stress, but not necessarily in the x-y plane 2

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