Q1. For the beam given in the figure below, assume that the material is ASTM-A514 steel with elastic modulus, and, E = 30000 ksi determine,
a) The reactions at the supports
b) Verify that the support reactions are correct (Hint: Use a method that was not used in part (a), and that does not require many pages of algebra).
c) The beam deflection where the 75 kips load acts.
d) Sketch the shear force and bending moment diagram
e) The wide flange cross-section of minimum mass if there has to be a factor of safety of 1.5 against yielding due to bending stress.
Q2. The solid shaft AB rotates at 480 rpm and transmits 30 kW from the motor to the machine tools connected to gears G and H; 20 kW is taken off at gear G and 10 kW is taken off at gear H. Knowing that !allow = 50 MPa determine the smallest permissible diameter for shaft AB.
You are required to sketch a clear diagram for,
1) Illustrating forces on the shaft in accordance with principles of static equilibrium.
2) Showing stress resultants at cross-section corresponding to critical points
3) Stress elements with appropriate stresses corresponding to critical points
4) The bending moment diagram
5) The torque diagram
6) Mohr circle representation of the stresses on critical point using a compass. Free hand sketched Mohr circle will result in loss of 5 points.
