Axial stress & strain worksheet with answers

Free printable Axial stress & strain worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Ø 10 mm2 mP = 115 kN

A solid round bar carries an axial tensile load P. Find the normal stress σ in the bar.

P = 115 kNd = 10 mm
σ = MPa
2.Easy
50 kNØ40100 GPaØ120/60800 mmσr​ = ?

A steel rod (diameter 40 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 120 mm, inner diameter 60 mm, E = 100 GPa). Both are 800 mm long and are compressed together between rigid plates by 50 kN. Find the compressive stress σr in the rod.

P = 50 kNrod: Ø40 mm, E = 200 GPatube: Ø120/Ø60 mm, E = 100 GPaL = 800 mm
σr = MPa
3.Medium
Ø 30 mmBrass0.5 mP = 100 kN

Find the axial strain ε in the brass bar, in microstrain (µε = 10⁻⁶).

P = 100 kNd = 30 mmL = 0.5 mE = 100 GPa
ε = µε
4.Medium
Ø 25 mmCopper2 mP = 60 kN

Find the elongation δ of the copper bar under the axial load.

P = 60 kNd = 25 mmL = 2 mE = 117 GPa
δ = mm
5.Hard
P = ?Ø40100 GPaØ120/50300 mm

A steel rod (diameter 40 mm, E = 200 GPa, allowable stress 160 MPa) sits inside a tube made of brass (outer diameter 120 mm, inner diameter 50 mm, E = 100 GPa, allowable stress 60 MPa). They are compressed together between rigid plates. Find the largest load Pmax.

rod: Ø40 mm, E = 200 GPa, σallow = 160 MPatube: Ø120/Ø50 mm, E = 100 GPa, σallow = 60 MPa
Pmax = kN
6.Hard
P = ?Ø20120 GPaØ80/60500 mm

A steel rod (diameter 20 mm, E = 200 GPa, allowable stress 160 MPa) sits inside a tube made of copper (outer diameter 80 mm, inner diameter 60 mm, E = 120 GPa, allowable stress 100 MPa). They are compressed together between rigid plates. Find the largest load Pmax.

rod: Ø20 mm, E = 200 GPa, σallow = 160 MPatube: Ø80/Ø60 mm, E = 120 GPa, σallow = 100 MPa
Pmax = kN

Answer key

  1. 1. σ = 1464 MPa
  2. 2. σr = 9.095 MPa
  3. 3. ε = 1415 µε
  4. 4. δ = 2.089 mm
  5. 5. Pmax = 711.6 kN
  6. 6. Pmax = 261.4 kN

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