The length of rolled steel channel in Figure 2 is fixed rigidly at one end and is free at the other end

and is subjected to an axial load. It has a flange width of 93mm (A) and a depth of 48 mm (B).

Both the web and flange have a thickness of 8mm (C). The modulus of elasticity is 208 GPa and the yield stress is 290 MPa.

Determine the horizontal distance to the neutral axis from point P (left is positive, answer in mm).

Determine the vertical distance to the neutral axis from point P (up is positive, answer in mm).

Determine the 2nd moment of area around the horizontal neutral axis (answer in m^4).

Determine the 2nd moment of area around the vertical neutral axis (answer in mm^4).

Determine the load, under perfect conditions, that buckling and yielding occur simultaneously (answer in N).

Determine the channel length, under perfect conditions, given that the load is 419kN (answer in mm).

Select the 6 correct answers from the list below:

The pressure vessel in Figure 1 is subject to an internal pressure of 164.98bar.

The vessel has an outside diameter of 180mm, and a wall thickness of 11mm.

A torque of 9561Nm is also applied to the vessel in the direction shown in the figure. The vessel has a yield strength of 137MPa. Using clockwise positive polar co-ordinates:

Determine the Maximum Shear Stress in the vessel wall (Answer in MPa).

Determine the Longitudinal Stress in the Vessel wall (Answer in MPa ).

Determine the Circumferential Stress in the vessel wall (Answer in GPa).

Determine the Maximum Torque that can be applied to the vessel (Answer in Nm).

Determine the Maximum Internal Pressure that can be applied to the vessel (Answer in kbar).

Select the 5 correct answers from the list below/:

The bolted coupling in Figure 5 is subject to a torque equal to 411Nm.

The solid shaft has a diameter of 38mm. The PCD of the coupling bolts is 62mm.

The bolt diamter is 5mm, and the yield strength of the bolt and shaft is 112.46MPa. Using clockwise positive polar co-ordinates:

Determine the Polar Moment of Area of the shaft (Answer in mm^4 only).

Determine the von Mises Shear Strength (Answer in GPa only).

Determine the Shear Stress on the central shaft (MPa).

Determine the Factor of Safety for the central shaft.

Determine the minimum number of bolts required to transmit the torque without failing (roundup).

Select the 5 correct answers from the list below/:

The bolted connection in Figure 4 is subject to a tensile force F equal to 5618N,

The plate A has a thickness of 11mm, and plate B a thickness of 21mm,

Both plates have equal widths of 18mm. The bolt diameter is 3.78mm.

The yield strength of the plates is 131.78MPa

Determine the bolt shear stress (Answer in MPa only).

Determine the maximum axial stress (Answer in MPa only).

Determine the maximum bearing stress (kPa).

Determine the Factor of Safety for the plates.

Determine the Factor of Safety for the bolt.

Select the 5 correct answers from the list below/:

The beam in Figure 3 is subject to a point load F. The length A is 2m, and the length B is 0.58m,

The beam is rectangular having a cross-sectional width of 35mm, and a depth of 10mm,

and a Young's modulus of 203GPa.

The point load is 41N

The Factor of Safety for the component is 2.1.

Determine the maximum shear force (Answer in N only).

Determine the maximum bending moment (Answer in Nmm only).

Determine the maximum axial stresson the top surface of the beam (MPa).

Determine the maximum axial strain in the beam (strain).

Determine the the minimum yield stress (MPa) based on the FOS.

Select the 5 correct answers from the list below/:

The beam in Figure 2 is subject to a point load F. The length A is 0.62m, and the length B is 2.39m,

The beam is rectangular having a cross-sectional width of 32mm, and a depth of 9mm,

and a Young's modulus of 208GPa.

The point load is 36N

The Factor of Safety for the component is 4.51.

Determine the maximum shear force (Answer in N only).

Determine the maximum bending moment (Answer in Nmm only).

Determine the maximum axial stress on the top surface of the beam (MPa).

Determine the maximum axial strain in the beam (strain).

Determine the the minimum yield stress (MPa) based on the FOS.

Select the 5 correct answers from the list below/:

The beam in Figure 1 is subject to a point load F. The length A is 0.57m,

The beam is rectangular having a cross-sectional width of 38mm, and a depth of 14mm,

and a Young's modulus of 208GPa.

The point load is 52N

The Factor of Safety for the component is 1.3.

Determine the maximum shear force (Answer in N only).

Determine the maximum bending moment (Answer in Nmm only).

Determine the maximum axial stress on the top surface of the beam (MPa).

Determine the maximum axial strain in the beam (strain).

Determine the the minimum yield stress (MPa) based on the FOS.

Select the 5 correct answers from the list below/: