Quiz 2 of Mechanics of Materials PDF

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1. (18 marks) The rigid beam is supported by the three suspender bars. Bars AB and EF are made of aluminum and CD is made of steel. If each bar has a cross-sectional area of 450 mm 2, determine the maximum value of P if the allowance stress is (σ allow)st =200 MPa for the steel and (σ allow)al =150 MPa for the aluminum. E st = 200 GPa, Eal = 70 GPa.

2. (7 marks) If the gears are subjected to the torques shown, determine the maximum shear stress in the segments AB and BC of the A-36 steel shaft. The shaft has a diameter of 40 mm.

Formulation: Axially loaded mechanical member: N A (2) Deformation (deflection or displacement) of an axially loaded mechanical member:

(1) Normal stress according to an internal normal force N acting on an area A:  



NL EA

N: Internal normal force; E: Young’s modulus of the material; A: cross-sectional area of the mechanical member; L: Segment length of the mechanical member. Shear stress for torsional shaft: ்ఘ ௃

τ=

τ: shear stress in the shaft; T: the resultant internal torque acting at the cross section; J: the polar moment of inertia of the cross-sectional area; ρ: radial distance from the axis of the shaft....