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Lesson: Stress, Strain, and Elastic Modulus

Worksheet: Stress, Strain, and Elastic Modulus • 10 Questions

Q1:

Two thin rods, one made of steel and the other of aluminum, are joined end to end. Each rod is 2.0 m long and has cross-sectional area of 9.1 mm2. A tensile force of 10 kN is applied at each end of the combination. Use a value of Pa for the Young’s modulus of steel and a use a value of Pa for the Young’s modulus of aluminum to determine the effects of the force on the rods.

Find the stress in the rods.

  • A N/m2
  • B N/m2
  • C N/m2
  • D N/m2
  • E N/m2

Find the strain in the rods.

  • A
  • B
  • C
  • D
  • E

Find the elongation of the steel rod.

Find the elongation of the aluminum rod.

Q2:

The bulk modulus of a material is N/m2. What is the percent change in volume of a piece of this material when it is subjected to a bulk stress increase of N/m2? Assume that the force is applied uniformly over the surface.

Q3:

Find the stress exerted on a steel beam along its length if the beam has no lengthwise space to expand into and its temperature increases from to . Use a value of for the Young’s modulus of steel and use a value of for the coefficient of thermal expansion of steel. Ignore any change in the cross-sectional area of the beam due to heating.

  • A Pa
  • B Pa
  • C Pa
  • D Pa
  • E Pa

Q4:

A nylon rope has a Young’s Modulus of Pa, a length of 35.0 m when not stretched, and a diameter of 0.800 cm. If a mountain climber of mass 65.0 kg hangs on this rope, how much does it extend?

Q5:

During a walk on a rope, a tightrope walker creates a tension of N in a steel wire that is stretched between two supporting poles that are 15.0 m apart. The wire has a diameter of 0.500 cm when it is not stretched. When the walker is on the wire in the middle between the poles the wire makes an angle of below the horizontal. Under tension, steel has a Young’s modulus of Pa. How much does the tension in the wire stretch the wire when the walker is this position?

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