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 16 mm2 mP = 55 kN

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

P = 55 kNd = 16 mm
σ = MPa
2.Easy
200 kNØ25100 GPaØ100/50600 mmσr​ = ?

A steel rod (diameter 25 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 100 mm, inner diameter 50 mm, E = 100 GPa). Both are 600 mm long and are compressed together between rigid plates by 200 kN. Find the compressive stress σr in the rod.

P = 200 kNrod: Ø25 mm, E = 200 GPatube: Ø100/Ø50 mm, E = 100 GPaL = 600 mm
σr = MPa
3.Medium
80 kNØ30120 GPaØ120/60300 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 300 mm long and are compressed together between rigid plates by 80 kN. Find the shortening δ.

P = 80 kNrod: Ø30 mm, E = 200 GPatube: Ø120/Ø60 mm, E = 120 GPaL = 300 mm
δ = mm
4.Medium
Ø 20 mmCopper1.5 mP = 45 kN

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

P = 45 kNd = 20 mmL = 1.5 mE = 117 GPa
δ = mm
5.Hard
100 kN12300 mm400 mmØ20Ø60σ2​ = ?

A steel segment (diameter 20 mm, length 300 mm, E = 200 GPa) and a segment made of copper (diameter 60 mm, length 400 mm, E = 120 GPa) are joined end to end and fixed between two rigid walls. An axial load of 100 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ2 in segment 2.

segment 1: steel, Ø20 mm, 300 mm, E = 200 GPasegment 2: copper, Ø60 mm, 400 mm, E = 120 GPaP = 100 kN
σ2 = MPa
6.Hard
30 kN12500 mm300 mmØ40Ø60σ2​ = ?

A steel segment (diameter 40 mm, length 500 mm, E = 200 GPa) and a segment made of copper (diameter 60 mm, length 300 mm, E = 120 GPa) are joined end to end and fixed between two rigid walls. An axial load of 30 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ2 in segment 2.

segment 1: steel, Ø40 mm, 500 mm, E = 200 GPasegment 2: copper, Ø60 mm, 300 mm, E = 120 GPaP = 30 kN
σ2 = MPa

Answer key

  1. 1. σ = 273.5 MPa
  2. 2. σr = 58.21 MPa
  3. 3. δ = 0.0207 mm
  4. 4. δ = 1.836 mm
  5. 5. σ2 = 28.36 MPa
  6. 6. σ2 = 7.346 MPa

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