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 worksheet Practise 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

A steel rod (diameter 25 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 σ_r in the rod.

P = 150 kNrod: Ø25 mm, E = 200 GPatube: Ø120/Ø70 mm, E = 100 GPaL = 400 mm

σ_r = MPa

2.Easy

A steel rod (diameter 20 mm, E = 200 GPa) sits inside a tube made of bronze (outer diameter 120 mm, inner diameter 70 mm, E = 110 GPa). Both are 400 mm long and are compressed together between rigid plates by 200 kN. Find the compressive stress σ_r in the rod.

P = 200 kNrod: Ø20 mm, E = 200 GPatube: Ø120/Ø70 mm, E = 110 GPaL = 400 mm

σ_r = MPa

3.Medium

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

P = 90 kNd = 12 mmL = 1.5 mE = 70 GPa

δ = mm

4.Medium

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

P = 115 kNd = 10 mmL = 2.5 mE = 100 GPa

δ = mm

5.Hard

The stepped bar is fixed at the wall and loaded at its free end. Find the largest normal stress σ_max in the bar.

P = 35 kNsegment 1: Ø40 mm, 1.5 m, brass (E = 100 GPa)segment 2: Ø12 mm, 1 m, steel (E = 200 GPa)

σ_max = MPa

6.Hard

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

P = 105 kNsegment 1: Ø35 mm, 0.5 m, aluminium (E = 70 GPa)segment 2: Ø12 mm, 1 m, brass (E = 100 GPa)

δ = mm

Answer key

1. σ_r = 35.53 MPa
2. σ_r = 45.27 MPa
3. δ = 17.05 mm
4. δ = 36.61 mm
5. σ_max = 309.5 MPa
6. δ = 10.06 mm

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