Mechanics of Materials · Axial loading and torsion
A steel rod of length intended to be 1.000 m is mistakenly fabricated 1.20 mm too long
Problem
A steel rod of length intended to be 1.000 m is mistakenly fabricated 1.20 mm too long. It is forced into place between two rigid supports so that it just fits the 1.000 m gap. The rod area is 280 mm². Take E = 200 GPa. Determine the prestrain, the prestress, and the axial compressive force locked into the rod.
Hint
The oversized rod is compressed until its 1.20 mm excess length is removed.
Check your work
Work the problem yourself first. Then open it in Training to check your answer and read the full worked solution.
The answer check and full solution for this problem come with ProofAnvil Practice membership ($19 USD monthly). See membership. Or start with the free Mechanics of Materials sample problem: Try the free sample problem.
More Mechanics of Materials practice problems
- A solid circular steel hanger rod 18 mm in diameter supports a suspended inspection…Stress, strain, constitutive response, and safety factors
- A timber floor beam is hung from a pair of identical 12-mm-diameter A36 steel rods, one…Stress, strain, constitutive response, and safety factors
- A rigid arm is fixed to the free ends of two parallel, initially unstressed circular…Axial loading and torsion
- A simply supported beam of length 6.0 m carries a downward triangular distributed load…Beam bending and transverse shear
- Two candidate steel sections are available for a 3.8 m simply supported beam carrying a…Beam bending and transverse shear
- Three 20 mm × 100 mm plywood strips are glued to form an I-section: one strip as the…Deflection and strain-energy methods
- Mohr’s circle for a plane-stress state is centered at (σ_avg, 0) = (22 ksi, 0) and has…Deflection and strain-energy methods
- A prismatic aluminum cantilever is fixed at A and free at B, with AB = 3.20 mStress transformation and combined loading
- A curved beam subtending 120° has a trapezoidal cross section: inner (concave) width…Column buckling and failure criteria