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.
![1070_Sectional view of a clutch1.png](https://secure.tutorsglobe.com/CMSImages/1070_Sectional%20view%20of%20a%20clutch1.png)
2. For the bent wire form shown, determine the support reactions at point A.
![1911_determine the support reactions2.png](https://secure.tutorsglobe.com/CMSImages/1911_determine%20the%20support%20reactions2.png)
3. For the beam shown determine the support reactions and draw the internal shear force and bending moment diagrams.
![1566_Determine the support reactions3.png](https://secure.tutorsglobe.com/CMSImages/1566_Determine%20the%20support%20reactions3.png)
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.
![2125_Determine the reactions at A4.png](https://secure.tutorsglobe.com/CMSImages/2125_Determine%20the%20reactions%20at%20A4.png)
5. Determine the stress matrix if the modulus of elasticity is 30 Mpsi, Poisson ratio is 0.3, and the strain matrix is
![2317_Determine the stress matrix5.png](https://secure.tutorsglobe.com/CMSImages/2317_Determine%20the%20stress%20matrix5.png)
6. The strain matrix at a particular point in a structure is
![2347_Determine the stress matrix6.png](https://secure.tutorsglobe.com/CMSImages/2347_Determine%20the%20stress%20matrix6.png)
Determine the stress matrix if E = 70 GPa and v = 0.33.