Draw the shear force and bending moment diagrams for the beam shown in Fig Q4. The forces P1, P2 and P3 are 76, 49 and 42 kN respectively and the dimensions a, b, c and d are 0.8, 0.9, 0.9 and 0.8 m respectively. What is the maximum bending moment in kNm to an accuracy of two decimal places?

Draw the shear force and bending moment diagrams for the beam shown in Fig Q3. The forces P1 and P2 are 32 and 48 kN respectively and the dimensions e, f and g are 0.8, 0.4 and 0.5 m respectively. The beam has a rectangular cross section with breadth b = 114 mm and depth d = 191 mm, calculate the maximum bending stress in the beam. Put your answer in MPa to an accuracy of two decimal places.

The beam shown

in Fig Q1 is simply supported at the ends. The forces

P

The beam shown

in Fig Q1 is simply supported at the ends. The forces

P

The inner diameter of a sphere is 237 mm and the wall thickness is 6 mm. The internal pressure P is 9  MPa. What is the hoop stress in the pressure vessel in MPa to 2 decimal places?

The diameter of a thin sphere is 235 mm and the wall thickness is 4 mm. If the hoop stress in the vessel is 67.4 MPa calculate the internal pressure P in  MPa to 2 decimal places.

The

diameter of a thin spherical pressure vessel is 255 mm and the wall thickness

is 5 mm. The pressure applied to the vessel is 14 MPa. Calculate the minimum ultimate tensile strength required for the

vessel if the factor of safety for the design is 1.77. Answer to be in MPa to 2 decimal places

A solid

circular section shaft rotating at 2 rev/sec is required to

transmit 154 kW. The ultimate shear strength of the material is 112

MPa. Calculate the minimum required shaft diameter if the factor of safety is

1.92

The assembly ABCD shown in Fig Q3 is made of three hollow

shafts. The end A is fixed and the couplings at B and C joins the three shafts

together. The diameters d

A driveshaft is 394 mm long and has a diameter of 20 mm. The modulus of rigidity for the material is 71 GPa. Calculate the angle of twist for the shaft when it is subjected to a peak torque of 328 Nm. Convert your answer to degrees, to 2 decimal places.