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 = 90 kNd = 30 mm

σ = MPa

2.Easy

A steel rod (diameter 40 mm, E = 200 GPa) sits inside a tube made of aluminium (outer diameter 100 mm, inner diameter 60 mm, E = 70 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: Ø40 mm, E = 200 GPatube: Ø100/Ø60 mm, E = 70 GPaL = 400 mm

σ_r = MPa

3.Medium

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

P = 30 kNd = 30 mmL = 0.5 mE = 200 GPa

ε = µε

4.Medium

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

P = 90 kNd = 20 mmL = 2.5 mE = 100 GPa

δ = mm

5.Hard

A steel segment (diameter 20 mm, length 600 mm, E = 200 GPa) and a segment made of bronze (diameter 50 mm, length 200 mm, E = 110 GPa) are joined end to end and fixed between two rigid walls. An axial load of 20 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ₂ in segment 2.

segment 1: steel, Ø20 mm, 600 mm, E = 200 GPasegment 2: bronze, Ø50 mm, 200 mm, E = 110 GPaP = 20 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 = 25 kNsegment 1: Ø25 mm, 1.5 m, steel (E = 200 GPa)segment 2: Ø12 mm, 1 m, aluminium (E = 70 GPa)

δ = mm

Answer key

1. σ = 127.3 MPa
2. σ_r = 66.31 MPa
3. ε = 212.2 µε
4. δ = 7.162 mm
5. σ₂ = 9.286 MPa
6. δ = 3.54 mm

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