Respuesta :

Resultant stress is  25.4 Mpa

Equivalent force couple system at center of shaft in section at point H

V = 100N   M = 100 * 150 = 15000N

T = 100 *250 =25000N

Shaft cross section d = 18 mm c = 1/2d = 9mm

Torsion = 21.8 N

bending = 26.2 N/mm

σ = 1/2(σx + σy) = 131.Mpa

σu =  σave + R = 38.5Mpa

σb = σave - R = -12.3 Mpa

Resultant stress tmax = R = 25.4 Mpa

Numerous factors, such as stress caused by external forces acting on a material's surface or bulk (such as gravity), can cause internal strain in a material (like contact forces, external pressure, or friction). Any strain (deformation) of a solid material results in an internal elastic stress that is similar to the reaction force of a spring and tends to return the material to its original, undamaged state. Only deformations that result in a volume change in liquids and gases produce a permanent elastic tension. Even with fluids, however, there will typically be some viscous tension that opposes the change if the deformation changes gradually over time. Mechanical stress, which often refers to both elastic and viscous strains, is a common term.

Question:

A mechanic uses a crowfoot wrench to loosen a bolt at E. Knowing that

the mechanic applies a vertical 100 N force at A, determine the principal

stresses and the maximum shearing stress at point H located as shown

on top of the 18 mm diameter shaft.

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