A steel rod (diameter 30 mm, E = 200 GPa) sits inside a tube made of brass (outer diameter 100 mm, inner diameter 70 mm, E = 100 GPa). Both are 800 mm long and are compressed together between rigid plates by 250 kN. Find the compressive stress σr in the rod.
Axial stress & strain worksheet with answers
A solid round bar carries an axial tensile load P. Find the normal stress σ in the bar.
Find the axial strain ε in the steel bar, in microstrain (µε = 10⁻⁶).
Find the elongation δ of the aluminium bar under the axial load.
A steel segment (diameter 40 mm, length 300 mm, E = 200 GPa) and a segment made of brass (diameter 60 mm, length 400 mm, E = 100 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.
A steel rod (diameter 30 mm, E = 200 GPa, allowable stress 160 MPa) sits inside a tube made of aluminium (outer diameter 80 mm, inner diameter 50 mm, E = 70 GPa, allowable stress 60 MPa). They are compressed together between rigid plates. Find the largest load Pmax.
Answer key
- 1. σr = 92.26 MPa
- 2. σ = 40.74 MPa
- 3. ε = 742.7 µε
- 4. δ = 1.579 mm
- 5. σ2 = 3.237 MPa
- 6. Pmax = 284.6 kN
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