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 = 30 kNd = 25 mm

σ = MPa

2.Easy

A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 80 mm, inner diameter 50 mm, E = 100 GPa). Both are 400 mm long and are compressed together between rigid plates by 250 kN. Find the compressive stress σ_r in the rod.

P = 250 kNrod: Ø30 mm, E = 200 GPatube: Ø80/Ø50 mm, E = 100 GPaL = 400 mm

σ_r = MPa

3.Medium

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

P = 85 kNd = 20 mmL = 2.5 mE = 70 GPa

δ = mm

4.Medium

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

P = 60 kNd = 20 mmL = 0.5 mE = 200 GPa

ε = µε

5.Hard

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

P = 75 kNsegment 1: Ø35 mm, 2 m, steel (E = 200 GPa)segment 2: Ø12 mm, 0.5 m, steel (E = 200 GPa)

δ = mm

6.Hard

A steel segment (diameter 40 mm, length 300 mm, E = 200 GPa) and a segment made of aluminium (diameter 60 mm, length 400 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, Ø40 mm, 300 mm, E = 200 GPasegment 2: aluminium, Ø60 mm, 400 mm, E = 70 GPaP = 50 kN

σ₂ = MPa

Answer key

1. σ = 61.12 MPa
2. σ_r = 111.7 MPa
3. δ = 9.663 mm
4. ε = 954.9 µε
5. δ = 2.437 mm
6. σ₂ = 6.566 MPa

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