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 = 115 kNd = 10 mm

σ = MPa

2.Easy

A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 120 mm, inner diameter 50 mm, E = 100 GPa). Both are 300 mm long and are compressed together between rigid plates by 50 kN. Find the compressive stress σ_r in the rod.

P = 50 kNrod: Ø30 mm, E = 200 GPatube: Ø120/Ø50 mm, E = 100 GPaL = 300 mm

σ_r = MPa

3.Medium

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

P = 60 kNd = 10 mmL = 0.5 mE = 100 GPa

δ = mm

4.Medium

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

P = 70 kNd = 16 mmL = 1 mE = 100 GPa

ε = µε

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 = 70 kNsegment 1: Ø30 mm, 1.5 m, aluminium (E = 70 GPa)segment 2: Ø12 mm, 0.5 m, aluminium (E = 70 GPa)

σ_max = MPa

6.Hard

A steel segment (diameter 40 mm, length 600 mm, E = 200 GPa) and a segment made of aluminium (diameter 50 mm, length 500 mm, E = 70 GPa) are joined end to end and fixed between two rigid walls. An axial load of 30 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ₂ in segment 2.

segment 1: steel, Ø40 mm, 600 mm, E = 200 GPasegment 2: aluminium, Ø50 mm, 500 mm, E = 70 GPaP = 30 kN

σ₂ = MPa

Answer key

1. σ = 1464 MPa
2. σ_r = 9.294 MPa
3. δ = 3.82 mm
4. ε = 3482 µε
5. σ_max = 618.9 MPa
6. σ₂ = 6.054 MPa

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