1. The figure shows a sectional view of a clutch. The pressure on the clutch plate p = 180 lcPa is distributed over an annular area of inside radius of 75 mm and outer radius of 150 mm. Using appropriate free-body diagrams and equilibrium equations, determine the force F required to maintain the position shown.

2. For the bent wire form shown, determine the support reactions at point A.

3. For the beam shown determine the support reactions and draw the internal shear force and bending moment diagrams.

4. Assuming no frictional losses, a torque of T = 750 lb.in is applied through the shaft of gear F in order to drive the roller chain at point B at a constant speed. The chain sprocket has a pitch diameter of 6 in and transmits a force of 500 lb as shown. The pitch diameters of gears C and F are 10 and 5 in, re-spectively. The contact force between the gears is transmitted through the pressure angle 4 = 20° Considering the bearing supports to be simple supports, determine the reactions at A, D, E, and G.

5. Determine the stress matrix if the modulus of elasticity is 30 Mpsi, Poisson ratio is 0.3, and the strain matrix is

6. The strain matrix at a particular point in a structure is

Determine the stress matrix if E = 70 GPa and v = 0.33.