The Shear Force and Bending Moment Diagram & The Polar Moment - Mathematics Assignment Help

Assignment Task -                 
 

Question One

For the beam shown below, draw the shear force and bending moment diagram showing all relevant points.

Question Two

For the beam shown below, draw the shear force and bending moment diagram showing all relevant points.

Question Three

For the beam shown below, draw the shear force and bending moment diagram showing all relevant points.

Question Four

For the beam shown below, draw the shear force and bending moment diagram showing all relevant points.

Question Five

Draw the torque distribution diagram for the shaft shown.  The shaft is rigidly fixed at A and is supported by a bearing of negligible friction at B

Question Six

The input power of 5kW is supplied at pulley C to the shaft rotating at 1440 RPM.  The power take-off at pulley D is 2kW and at pulley E 2.8kW.  Each of the bearings A and B absorb equal power.

1. Draw the torque distribution diagram.

2. Determine the maximum torque and state its location along the shaft.

Question Seven

Calculate the polar moment of inertia for a 75mm diameter solid shaft.

Question Eight

A torque of 30.7Nm is applied to a copper rod 250mm long and 10mm in diameter.  Assuming modulus of rigidity of 44.8GPa, calculate the angle of twist in degrees.

Question Nine

A 100mm diameter solid shaft transmits 740kW of power at 1200RPM.  What is the stress in the shaft?

Question Ten

A hollow shaft of outer diameter 70mm and inner diameter 50mm is to run at 670RPM.  If the allowable stress in the shaft material is not to exceed 65MPa, how much power can it transmit?

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