SIMPLE STRESSES PROBLEMS
#1.0
A hollow nickel-steel shaft, whose outside diameter is twice the inside diameter,
is to transmit 1492KW at 220 rpm. The shaft is subjected essentially to torsion.
Assuming an allowable shear stress of 224Ma, determine the size of the hollow
shaft required. Ans. Do = 116.24mm
#2.0
Determine the maximum stress in a hollow column of Do = 160mm and Di = 100mm
that supports a load of 40KN and a bending moment of 4KN-m. Ans. 15.0 Mpa
#3.0
A round steel tension member 40 in. long is subjected to a maximum load of 6,500
lbf. (a) What should be its diameter in mm if the total elongation is 0.035 in.? (b)
Determine the yield stress Sy and the ultimate stress Su if Nu = 6.0 and Ny =3.0
Ans. D = 14.26 mm; Sy = 542.95 N/mm2; Su = 1085.92 N/mm2
#4.0
A round, steel tension member, 55 in. long is subjected to a maximum load of
7,000 lb. (a) What should be its diameter in mm if the total elongation is not to
exceed 0.03 in.? E for steel is 30x106 psi. Ans. D = 18.745 mm
#5.0
A hollow short compression member, of normalized cast steel where Su = 65 ksi, is
to support a load of 1,500 kips with a factor of safety of 8.0 based on the
ultimate strength. Determine the outside and inside diameters if Do =2Di.
Ans. Do = 450mm; Di = 224.83mm
#6.0
A 2.0 in. solid shaft transmits power at 120 rpm. If the allowable shearing stress
is 12ksi. (a) determine the torque in ft-lbs (b) the horsepower that can be
transmitted. Ans. T = 1,570.8 ft-lbs; P = 35.89 HP
#7.0
How many 5/16 in. holes can be punched in one stroke in a steel plate made of SAE
1010 steel, 7/16 in. thick using a force of 55 tons. The ultimate strength for
shear is 50 ksi.
#8.0
A horizontal simply supported beam, 16 ft long, is subjected to a load of 5,000 lb
located at its center. The dimensions of the beam are 2 in. x 4 in. and its weight
maybe considered to be uniformly distributed at 100 lb/ft. Find the flexural
stress.
#9.0
What force in tons is required to punch a hole 2 inches in diameter through a ¼ in.
thick steel plate?
#10
Find the thickness of a metal needed of the semi-spherical end of cylinder vessel
0.70 meter in diameter to an internal pressure of 2.70 N/mm2. The material is
mild steel and tensile is 69 N/mm2.
Ans. t = 6.84 mm.
#11
A 20 mm diameter rivet is used to fasten two 25 mm thick place. If the shearing
stress is 80 MPa, what tensile force applied to each plate that will shear the bolt?
Ans. F = 25.132 KN
#12
A hollow shaft with outside diameter of 14 cm and a wall thickness of 0.80 cm
transmits 200KW at 400 rpm. What must be the angular deflection of the shaft
if the length is 5 meters? Use G = 12x106 psi. Ans. 1.14 degrees