A steel rod (diameter 40 mm, E = 200 GPa) sits inside a tube made of bronze (outer diameter 80 mm, inner diameter 50 mm, E = 110 GPa). Both are 600 mm long and are compressed together between rigid plates by 200 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 brass bar, in microstrain (µε = 10⁻⁶).
Find the elongation δ of the steel bar under the axial load.
A steel rod (diameter 25 mm, E = 200 GPa, allowable stress 150 MPa) sits inside a tube made of bronze (outer diameter 120 mm, inner diameter 60 mm, E = 110 GPa, allowable stress 100 MPa). They are compressed together between rigid plates. Find the largest load Pmax.
A steel segment (diameter 20 mm, length 400 mm, E = 200 GPa) and a segment made of bronze (diameter 60 mm, length 400 mm, E = 110 GPa) are joined end to end and fixed between two rigid walls. An axial load of 80 kN acts at the joint, towards segment 2. Find the magnitude of the stress σ2 in segment 2.
Answer key
- 1. σr = 68 MPa
- 2. σ = 120.3 MPa
- 3. ε = 1556 µε
- 4. δ = 3.024 mm
- 5. Pmax = 773.4 kN
- 6. σ2 = 23.54 MPa
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