How does the strain energy stored under a sudden load compare to that of a gradually applied load____________________?
Show answer Hide answer
Answer: C. four times
Explanation
A suddenly applied load produces twice the maximum stress and four times strain energy. Impact loading causes dynamic stress waves that temporarily double static stress levels. Strain energy is proportional to the square of the stress, resulting in a fourfold increase. Dynamic loading conditions differ significantly from slow, gradually applied static loads. Impact factors account for the increased stress and energy absorption required for sudden loads. Conservation of energy explains how kinetic energy converts into internal strain energy.
Machine components subjected to sudden impact loads must be designed with higher safety factors. Crane hooks and lifting chains experience shock loads requiring high resilience and toughness. Structural engineers evaluate impact factors to prevent sudden catastrophic material failures. Saying strain energy is the same ignores the dynamic amplification effects of sudden loading. Twice the strain energy ignores the squared stress relationship in energy absorption formulas. Eight times and half values represent incorrect mechanical energy scaling calculations.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Within the elastic region, what is the ratio of transverse strain to axial strain called_______________?
Show answer Hide answer
Answer: E. Poisson’s ratio
Poisson ratio is defined as the negative ratio of transverse strain to axial strain within the elastic range. It quantifies the lateral thinning or thickening experienced by a stretched or compressed rod. This dimensionl...
Q2. How does the polar moment of inertia of a hollow circular section about a central perpendicular axis compare to its transverse horizontal axis moment of inertia________________?
Show answer Hide answer
Answer: B. double
Perpendicular axis theorem states that polar moment of inertia equals the sum of two orthogonal transverse moments. For a symmetrical hollow circular section, the two orthogonal transverse moments of inertia are equal. A...
Q3. When a projectile is launched at an angle 9 relative to the vertical, its horizontal range reaches its maximum value at what angle 9__________________?
Show answer Hide answer
Answer: C. 45°
The maximum horizontal range of a projectile in standard physics is achieved at a launch angle of 45 degrees relative to the horizontal. Mathematical derivation of the projectile range formula yields a sine function maxi...
Q4. What approximate percentage area reduction occurs in a cast iron test specimen during tension testing_________________?
Show answer Hide answer
Answer: E. negligible
Cast iron is a brittle material that exhibits negligible plastic deformation during tension testing. Graphite flakes in its microstructure act as internal stress concentrators, causing sudden brittle fracture. Because it...
Q5. How does the peak stress induced by a sudden load compare to a gradual load application________________?
Show answer Hide answer
Answer: C. two times
A suddenly applied load transfers kinetic energy that instantaneously doubles the maximum strain and stress. Gradual loading allows the material to deform slowly while internal resistance builds up alongside the load. Dy...
Q6. How is the torsional rigidity of a shaft mathematically represented_______________?
Show answer Hide answer
Answer: D. torque required to produce a twist of one radian per unit length of shaft
Torsional rigidity is defined mathematically as the torque required to produce a twist of one radian per unit length of the shaft. This mechanical property combines the shear modulus of the material with the polar moment...