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.

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1.Easy

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

P = 60 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 100 mm, inner diameter 50 mm, E = 100 GPa). Both are 800 mm long and are compressed together between rigid plates by 100 kN. Find the compressive stress σ_r in the rod.

P = 100 kNrod: Ø30 mm, E = 200 GPatube: Ø100/Ø50 mm, E = 100 GPaL = 800 mm

σ_r = MPa

3.Medium

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

P = 110 kNd = 30 mmL = 1.5 mE = 100 GPa

ε = µε

4.Medium

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

P = 80 kNd = 25 mmL = 1 mE = 70 GPa

δ = mm

5.Hard

A steel rod (diameter 30 mm, E = 200 GPa, allowable stress 120 MPa) sits inside a tube made of brass (outer diameter 100 mm, inner diameter 60 mm, E = 100 GPa, allowable stress 60 MPa). They are compressed together between rigid plates. Find the largest load P_max.

rod: Ø30 mm, E = 200 GPa, σ_allow = 120 MPatube: Ø100/Ø60 mm, E = 100 GPa, σ_allow = 60 MPa

P_max = kN

6.Hard

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

P = 120 kNsegment 1: Ø40 mm, 0.5 m, brass (E = 100 GPa)segment 2: Ø16 mm, 1.5 m, copper (E = 117 GPa)

δ = mm

Answer key

1. σ = 122.2 MPa
2. σ_r = 27.38 MPa
3. ε = 1556 µε
4. δ = 2.328 mm
5. P_max = 386.4 kN
6. δ = 8.129 mm

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