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 10 mm0.5 mP = 20 kN

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

P = 20 kNd = 10 mm
σ = MPa
2.Easy
80 kNØ20120 GPaØ100/60500 mmσr​ = ?

A steel rod (diameter 20 mm, E = 200 GPa) sits inside a tube made of copper (outer diameter 100 mm, inner diameter 60 mm, E = 120 GPa). Both are 500 mm long and are compressed together between rigid plates by 80 kN. Find the compressive stress σr in the rod.

P = 80 kNrod: Ø20 mm, E = 200 GPatube: Ø100/Ø60 mm, E = 120 GPaL = 500 mm
σr = MPa
3.Medium
100 kNØ30120 GPaØ120/60600 mmδ = ?

A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of copper (outer diameter 120 mm, inner diameter 60 mm, E = 120 GPa). Both are 600 mm long and are compressed together between rigid plates by 100 kN. Find the shortening δ.

P = 100 kNrod: Ø30 mm, E = 200 GPatube: Ø120/Ø60 mm, E = 120 GPaL = 600 mm
δ = mm
4.Medium
Ø 12 mmAluminium2.5 mP = 110 kN

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

P = 110 kNd = 12 mmL = 2.5 mE = 70 GPa
δ = mm
5.Hard
80 kN12600 mm500 mmØ40Ø60σ2​ = ?

A steel segment (diameter 40 mm, length 600 mm, E = 200 GPa) and a segment made of aluminium (diameter 60 mm, length 500 mm, E = 70 GPa) are joined end to end and fixed between two rigid walls. An axial load of 80 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ2 in segment 2.

segment 1: steel, Ø40 mm, 600 mm, E = 200 GPasegment 2: aluminium, Ø60 mm, 500 mm, E = 70 GPaP = 80 kN
σ2 = MPa
6.Hard
50 kN12300 mm300 mmØ30Ø60σ2​ = ?

A steel segment (diameter 30 mm, length 300 mm, E = 200 GPa) and a segment made of aluminium (diameter 60 mm, length 300 mm, E = 70 GPa) are joined end to end and fixed between two rigid walls. An axial load of 50 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ2 in segment 2.

segment 1: steel, Ø30 mm, 300 mm, E = 200 GPasegment 2: aluminium, Ø60 mm, 300 mm, E = 70 GPaP = 50 kN
σ2 = MPa

Answer key

  1. 1. σ = 254.6 MPa
  2. 2. σr = 24.02 MPa
  3. 3. δ = 0.05176 mm
  4. 4. δ = 34.74 mm
  5. 5. σ2 = 13.75 MPa
  6. 6. σ2 = 10.32 MPa

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