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

P = 80 kNd = 16 mm

σ = MPa

2.Easy

A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of aluminium (outer diameter 100 mm, inner diameter 70 mm, E = 70 GPa). Both are 300 mm long and are compressed together between rigid plates by 150 kN. Find the compressive stress σ_r in the rod.

P = 150 kNrod: Ø30 mm, E = 200 GPatube: Ø100/Ø70 mm, E = 70 GPaL = 300 mm

σ_r = MPa

3.Medium

Find the axial strain ε in the aluminium bar, in microstrain (µε = 10⁻⁶).

P = 45 kNd = 12 mmL = 3 mE = 70 GPa

ε = µε

4.Medium

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

P = 80 kNd = 20 mmL = 0.5 mE = 117 GPa

δ = mm

5.Hard

A steel segment (diameter 25 mm, length 400 mm, E = 200 GPa) and a segment made of brass (diameter 40 mm, length 500 mm, E = 100 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, Ø25 mm, 400 mm, E = 200 GPasegment 2: brass, Ø40 mm, 500 mm, E = 100 GPaP = 40 kN

σ₂ = MPa

6.Hard

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

P = 20 kNsegment 1: Ø35 mm, 0.5 m, brass (E = 100 GPa)segment 2: Ø20 mm, 0.5 m, aluminium (E = 70 GPa)

δ = mm

Answer key

1. σ = 397.9 MPa
2. σ_r = 71.13 MPa
3. ε = 5684 µε
4. δ = 1.088 mm
5. σ₂ = 16.1 MPa
6. δ = 0.5587 mm

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