🔵15 Solved Exercises on DEFORMATION (Unit and Total) ✅ Elasticity, Stress and Young's Modulus
15 solved exercises on strain and total strain combining the formulas for elasticity, stress, and Young's modulus.
Strain is defined as the change in dimension per unit length. Strain is dimensionless and is often expressed in in/in or m/m.
ADDITIONAL PROBLEMS:
1. A 3 m long round steel rod is subjected to an axial tensile force of 75 kN. The total elongation must not exceed 3 mm. Determine the required diameter.
2. An aluminum bar, with a cross-sectional area of 8 x 10⁻⁴ m² and a length of 3 m, is subjected to an axial tensile force of 50 kN. Determine: a) the stress, b) the total and strain.
3. A steel bar is 3 m long and has a cross-sectional area of 0.0005 m². Determine the total deformation produced by a tensile force of 100 kN.
4. The original length of an aluminum bar is 2 m, and the total deformation due to the application of a load is 0.4 mm. Determine the unit deformation of the bar.
5. A block of wood (Douglas fir) with a 2 in x 4 in cross-section and a length of 12 in is subjected to an axial compressive force of 5600 lb. Determine the unit and total deformation in the block.
6. A structural steel angle 2 in x 2 in x 1/4 in x 12 ft long is subjected to an axial tensile force P. The total deformation must not exceed 0.009 in. Determine the maximum force that can be applied.
7. A steel bar 1 in in diameter is subjected to a tensile force of 10,000 lb. The modulus of elasticity of steel is 30,000 ksi. Determine the strain. If the original length of the bar were 5 ft, what would the total strain be?
8. A wire has a strain of 0.0006 m/m and a total strain of 1 mm. What is the length of this wire?
9. A steel rod 12 mm in diameter and 3 m long is subjected to a tensile force of 38,000 N. Determine the strain and total strain in the rod.
10. A round aluminum rod 2 in in diameter supports a tensile force of 125 kN. The total elongation must not exceed 2 mm. Determine the maximum allowable length.
11. An aluminum block 100 mm long and 50 mm on each side is subjected to a compressive force of 500 kN. Determine the strain and total strain in the block.
12. An aluminum bar, 1 1/2 in. in diameter and 4 ft. long, is subjected to an axial tensile load. Determine the magnitude of the force that will cause a total strain of 0.0058 in.
13. A copper block, with a 2 x 4 in. cross-section and 8 in. long, is subjected to a compressive force of 100 kips. Determine: a) the stress, b) the total strain and strain.
14. A wire 12 ft. long has a strain of 0.00325 in./in. Determine the total strain of the wire.
15. A structural steel angle is subjected to a tensile force of 80 kN. Its dimensions are 35 mm x 35 mm x 5 mm x 3 m. Determine: a) the stress, b) the total and unit strain.
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