PRE-BOARD EXAMINATION Mathematics

A cantilever beam is 5 ft long and of square cross-section 2 in on each side is loaded on each end by a vertical force of magnitude 500 lbs. Determine the magnitude of the maximum bending stress of the beam.

A flange coupling has eight steel 25.4 mm diameter bolt evenly tightened around a 450 mm bolt circle. Determine the torque capacity if allowable shearing stress is 50 Mpa.

A disk clutch having an outside diameter of 32 cm and an inside diameter of 12.7 cm is connected to an engine tha

A single square thread power screw is to raise a load of 70 KN. The screw has a major diameter of 36 mm and a pitch of 6 mm. The coefficient of thread friction and collar friction are 0.13 and 0.10 respectively. If the collar mean diameter is 90 mm and the screw turns at 60 rpm, find the combined efficiency of screw and collar.

A link has a load factor of 0.8 the surface factor 0.8, the surface factor is 0.92 and the endurance strength is 28,000 psi. Compute the alternating stress of the link if it is subjected to a reversing load. Assuming a factor of safety of 3.

A cylindrical vessel has an inside diameter of 40 inches, is subjected to a pressure of 2000 psi, and is constructed with a joint efficiency of 90%. Find the thickness if the allowable stress of the steel plate is used is 10,000 psi.

A steel wire 10 meters long, is suspended vertically and supports a mass of 100 kg. If the stress in the wire is 49.93 Mpa, and E= 2.1x10^11 Pa, find the elongation of the wire in mm.

A square steel bar 50 mm on a side and 1 m long is subjected to an axial tensile force of 250 kN. Determine the decrease in lateral dimension due to this load. Consider E=200 GPa and Poisson's ratio of 0.30.

From the list of chemical elements, the four metalloids are boron, carbon, phosphorous and ____________.

• Nickel

• Aluminum

• Silicon

• Cerium

This is a hardening treatment for low carbon steels.

• Tempering

• Case Hardening

• Normalizing

• Anodizing