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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
Ø 12 mm0.5 mP = 45 kN

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

P = 45 kNd = 12 mm
σ = MPa
2.Easy
150 kNØ20100 GPaØ120/70400 mmσr​ = ?

A steel rod (diameter 20 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 120 mm, inner diameter 70 mm, E = 100 GPa). Both are 400 mm long and are compressed together between rigid plates by 150 kN. Find the compressive stress σr in the rod.

P = 150 kNrod: Ø20 mm, E = 200 GPatube: Ø120/Ø70 mm, E = 100 GPaL = 400 mm
σr = MPa
3.Medium
Ø 20 mmCopper2 mP = 45 kN

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

P = 45 kNd = 20 mmL = 2 mE = 117 GPa
δ = mm
4.Medium
Ø 10 mmSteel1.5 mP = 35 kN

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

P = 35 kNd = 10 mmL = 1.5 mE = 200 GPa
δ = mm
5.Hard
P = ?Ø3070 GPaØ120/60800 mm

A steel rod (diameter 30 mm, E = 200 GPa, allowable stress 200 MPa) sits inside a tube made of aluminium (outer diameter 120 mm, inner diameter 60 mm, E = 70 GPa, allowable stress 60 MPa). They are compressed together between rigid plates. Find the largest load Pmax.

rod: Ø30 mm, E = 200 GPa, σallow = 200 MPatube: Ø120/Ø60 mm, E = 70 GPa, σallow = 60 MPa
Pmax = kN
6.Hard
P = ?Ø30110 GPaØ120/70300 mm

A steel rod (diameter 30 mm, E = 200 GPa, allowable stress 120 MPa) sits inside a tube made of bronze (outer diameter 120 mm, inner diameter 70 mm, E = 110 GPa, allowable stress 50 MPa). They are compressed together between rigid plates. Find the largest load Pmax.

rod: Ø30 mm, E = 200 GPa, σallow = 120 MPatube: Ø120/Ø70 mm, E = 110 GPa, σallow = 50 MPa
Pmax = kN

Answer key

  1. 1. σ = 397.9 MPa
  2. 2. σr = 37.08 MPa
  3. 3. δ = 2.449 mm
  4. 4. δ = 3.342 mm
  5. 5. Pmax = 630.1 kN
  6. 6. Pmax = 437.3 kN

Full step-by-step solutions: practise this topic on examproblems.com.