MEC2403_MAE2401_2015-1-2.pdf

# 15 marks fig1 q2 a 18 kn vertical force is applied at

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(15 marks) Fig.1 Q2) A 1.8 kN vertical force is applied at D to a gear attached to the solid 25 mm diameter shaft A as shown in Fig 2. If the shaft AB is made of a material with maximum allowable tensile stress of 200 MPa and maximum shear stress of 40 MPa , determine whether the structure will fail at point H under the applied loading . (25 marks) Fig.2

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Q3) Two forces are applied to the small post BD as shown. Knowing that the vertical portion of the post has a cross section of 40 x 60 mm 2 , determine the normal and shearing stresses at point H . (25 marks) Fig. 3 Q4) The beam with length L, elastic modulus E , Poisson’s ratio , v is loaded as shown below in Fig. 4. (7x5=35 marks) a) Draw the shear force and bending moment diagrams b) Derive an expression for the moment of inertia for the cross section shown c) Determine the position X 0 where maximum normal and shear stresses would be observed d) Find an expression for the maximum shear stress value. e) Find an expression for the maximum normal stress value. f) Find an expression for the slope of the beam as a function of the distance from point A. g) Find an expression for the deflection of the beam as a function of the distance from point A.
Fig.4
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