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 20 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 120 mm, inner diameter 70 mm, E = 100 GPa). Both are 600 mm long and are compressed together between rigid plates by 100 kN. Find the compressive stress σ_r in the rod.

P = 100 kNrod: Ø20 mm, E = 200 GPatube: Ø120/Ø70 mm, E = 100 GPaL = 600 mm

σ_r = MPa

2.Easy

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

P = 75 kNd = 20 mm

σ = MPa

3.Medium

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

P = 110 kNd = 25 mmL = 1 mE = 70 GPa

ε = µε

4.Medium

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

P = 95 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 = 90 kNsegment 1: Ø35 mm, 1.5 m, aluminium (E = 70 GPa)segment 2: Ø20 mm, 1 m, brass (E = 100 GPa)

δ = mm

6.Hard

A steel segment (diameter 25 mm, length 400 mm, E = 200 GPa) and a segment made of brass (diameter 60 mm, length 500 mm, E = 100 GPa) are joined end to end and fixed between two rigid walls. An axial load of 100 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, Ø60 mm, 500 mm, E = 100 GPaP = 100 kN

σ₂ = MPa

Answer key

1. σ_r = 24.72 MPa
2. σ = 238.7 MPa
3. ε = 3201 µε
4. ε = 1512 µε
5. δ = 4.869 mm
6. σ₂ = 24.66 MPa

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