What parameters govern the critical buckling load for a specific structural material___________________?
Show answer Hide answer
Answer: D. slenderness ratio, area of cross-section and modulus of elasticity
Explanation
Euler critical buckling load depends on slenderness ratio, cross-sectional area, and elasticity modulus. Column stability is governed by material stiffness represented by the modulus of elasticity. Cross-sectional area and slenderness ratio account for column geometry and buckling resistance. Buckling is a sudden failure mode occurring in long slender columns under compressive loads. Euler formula relates critical load to material properties and geometric column boundary conditions. Slenderness ratio compares effective column length to its minimum radius of gyration.
Civil engineers use critical buckling equations to design safe building columns and bridge piers. Selecting high modulus materials prevents structural members from buckling under heavy compressive loads. Building codes enforce strict slenderness limits to ensure structural safety in skyscrapers. Omitting modulus of elasticity ignores the fundamental stiffness properties of structural materials. Excluding cross-sectional area leaves out essential geometric sizing parameters from the calculation. Poisson ratio is relevant for lateral strains rather than direct Euler column buckling loads.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. In a composite prismatic member made of two bonded materials that undergo identical axial strain, how are the unit stresses related ?
Show answer Hide answer
Answer: B. proportional to their respective moduli of elasticity
In a composite member where bonded materials undergo identical axial strain, unit stresses are proportional to moduli. Hooke law dictates that stress equals the product of elastic modulus and strain. Since axial strain i...
Q2. What is the algebraic summation of moments produced by a couple's forces taken about any point in their plane__________________?
Show answer Hide answer
Answer: A. equal to the moment of the couple
A couple consists of two parallel forces that are equal in magnitude and opposite in direction. Taking the algebraic sum of their moments about any arbitrary point in their plane yields a constant value. This resultant m...
Q3. How is engineering strain defined as a ratio__________________?
Show answer Hide answer
Answer: D. any one of the above
Engineering strain can be defined in various forms depending on the context, such as change in length, volume, or cross-sectional area relative to original values. Solid mechanics applies strain definitions across linear...
Q4. At what distance from the base is the center of gravity of a solid right circular cone of height h situated________________?
Show answer Hide answer
Answer: D. h/4
The center of gravity of a solid right circular cone of height h is situated at h/4 from its base. Integration of differential mass elements along the conical axis yields this exact geometric centroid location. This anal...
Q5. How does an increase in Poisson’s ratio affect the volumetric change of a material under tension ________________?
Show answer Hide answer
Answer: B. decrease
Poisson ratio relates lateral strain to longitudinal strain under applied axial loads. An increased ratio means the material contracts much more in the transverse directions when stretched. Higher lateral contraction dir...
Q6. What shear stress is induced within a cylindrical shaft subjected to simple tension__________________?
Show answer Hide answer
Answer: E. none of the above
A cylindrical shaft in simple tension experiences both axial normal stress and induced shear stresses on oblique planes, rather than pure torsional shear. Mohr's circle analysis proves that maximum shear stress occurs on...