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 = 50 kN

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

P = 50 kNd = 10 mm
σ = MPa
2.Easy
100 kNØ30110 GPaØ100/50800 mmσr​ = ?

A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of bronze (outer diameter 100 mm, inner diameter 50 mm, E = 110 GPa). Both are 800 mm long and are compressed together between rigid plates by 100 kN. Find the compressive stress σr in the rod.

P = 100 kNrod: Ø30 mm, E = 200 GPatube: Ø100/Ø50 mm, E = 110 GPaL = 800 mm
σr = MPa
3.Medium
250 kNØ30110 GPaØ100/60600 mmδ = ?

A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of bronze (outer diameter 100 mm, inner diameter 60 mm, E = 110 GPa). Both are 600 mm long and are compressed together between rigid plates by 250 kN. Find the shortening δ.

P = 250 kNrod: Ø30 mm, E = 200 GPatube: Ø100/Ø60 mm, E = 110 GPaL = 600 mm
δ = mm
4.Medium
Ø 25 mmSteel0.5 mP = 15 kN

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

P = 15 kNd = 25 mmL = 0.5 mE = 200 GPa
δ = mm
5.Hard
Ø 25 mmBrass0.5 mØ 12 mmBrass0.5 mP = 110 kN

The stepped bar is fixed at the wall and loaded at its free end. Find the total elongation δ.

P = 110 kNsegment 1: Ø25 mm, 0.5 m, brass (E = 100 GPa)segment 2: Ø12 mm, 0.5 m, brass (E = 100 GPa)
δ = mm
6.Hard
40 kN12500 mm300 mmØ40Ø40σ2​ = ?

A steel segment (diameter 40 mm, length 500 mm, E = 200 GPa) and a segment made of bronze (diameter 40 mm, length 300 mm, E = 110 GPa) are joined end to end and fixed between two rigid walls. An axial load of 40 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: bronze, Ø40 mm, 300 mm, E = 110 GPaP = 40 kN
σ2 = MPa

Answer key

  1. 1. σ = 636.6 MPa
  2. 2. σr = 25.34 MPa
  3. 3. δ = 0.216 mm
  4. 4. δ = 0.07639 mm
  5. 5. δ = 5.984 mm
  6. 6. σ2 = 15.22 MPa

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