Strength of Materials Final Exam Review. Try solving the problems below in preparation of the exam. Similar problems will come out. Bring individual calculator.

- A piston rod of a reciprocating water pump is 18 mm diameter and 100 cm long. If maximum elongation is not to exceed 3 mm and E = 206,785 x 10
^{3}kpa, determine the allowable load, KN. - Determine the diameter of the steel rod which is stretched between two walls if the allowable stress is not to exceed 138 MPa at – 20 . The rod carries a tensile load of 5000 N at 20 C. Assume coefficient of thermal expansion 12.1 m/m and E = 196 GPa.
- A concrete column 280 mm in diameter is reinforced with steel to support an axial compressive load of 700 kN. Determine the area of the reinforcing steel if allowable stresses are 8 MPa and 130 MPa for concrete and steel, respectively. E for concrete = 14 GPa and E for steel = 200 GPa.
- A machinery, solid shaft 4 inches in diameter is driven by a 36 inch gear and rotating at 120 rpm. If the allowable shearing stress is 10 ksi, determine the transmitted horsepower.
- A concrete column 250 mm in diameter is reinforced with steel to support an axial compressive load of 600 kN. Determine the area of the reinforcing steel if allowable stresses are 8 MPa and 130 MPa for concrete and steel, respectively. E for concrete = 14 GPa and E for steel = 200 GPa.
- A rod whose unit mass is 3800 kg/ m
^{3}has a cross sectional area of 390 mm^{2}and 250 meters long. If the load of 40 kN is applied at its end and E = 200 x 10^{3}MPa, determine,a) elongation due to its own weight, mm b) elongation due to the applied load, mm c) total elongation , mm - A petrochemical plant uses a cylindrical vessel as storage for its chlorine gas requirement. The storage is 90 mm diameter, 4 mm thick, 4 meters length. Determine the maximum internal pressure in the tank can hold if the maximum allowable longitudinal stress is 28 MPa and maximum circumferential stress is 12 MPa.
- Calculate the maximum allowable pressure of a sphere 100 mm diameter with a wall 0.6mm thick if allowable stress is 2 MPa.
- A steel tank at the Boy’s hostel is open at the top, ¼ in thick, 24 feet in diameter and 48 feet high is filled with water. Determine the maximum circumferential stress. Ans. 11980.0 psi
- A concrete beam 20 meters long and weighing 2 t0ns is carried by a steel and bronze cable shown on page 36 (workbook). Determine the smallest areas of bronze and steel cable if the maximum allowable stress for bronze is 100 MPa and steel is 150 MPa.
- A wooden uniform beam AB is 72 meters long, weighs 120 kg and loaded as shown. At what point must the beam be supported so that it may rest horizontally? Let the resultant of these forces passes through point D. Refer to page 23 in your workbook in the diagram.
- A beam shown on page 22 (Workbook) has a uniformly distributed load of 10 kN/m. If the span is 20 meters long, find the reactions at A and B. Use equilibrium and virtual work method.
- A 30 m –beam of the bridge is loaded as shown in page 22 Workbook. Determine Ra and Rb. Use the equilibrium and virtual work method.
- A steel rod is to withstand a pull of 10,000 pounds. If the ultimate stress is 50,000 psi and a factor of safety of 4 is used, determine the diameter of the rod.

- What force is necessary to punch a ¾ “diameter hole in a ½ “ thick plate? Ultimate shear strength of the steel plate is 50,000 psi.

- The beams are loaded as shown in example 1 page 127 and example 2 page 131 in our workbook. Study how to draw the load, shear, and moment diagram.

- A rectangular steel bar 1 /2 “ wide by 1/8 “ thick and 80 inches long is bent by applying forces at the ends. Midpoint deflection is 2 “. Determine the bending stress in the bar if E = 29 x 10
^{6}

- Determine the maximum flexural or bending stress developed on a belt 10 mm wide by 0.20 mm thick running over a pulley 400 mm in diameter. Assume E = 100 GPa.

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