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
Explanation
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 is identical for both bonded materials, higher modulus materials carry proportionally more stress. Composite structures like reinforced concrete combine materials with vastly different elastic moduli. Strain compatibility requires bonded interfaces to stretch or compress by the exact same amount. Load sharing between composite constituents depends directly on their relative cross-sectional areas and moduli.
Reinforced concrete beams utilize steel rebars embedded in concrete to handle tensile and compressive loads. Aerospace engineers design advanced composite laminates with proportional stress distribution principles. Understanding composite mechanics prevents structural failure caused by uneven internal stress concentrations. Equal unit stresses would only occur if both bonded materials possessed identical moduli of elasticity. Inversely proportional would imply softer materials carry higher stress, violating elastic stress laws. Average of the sum of moduli does not correctly calculate individual component stress levels.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. Besides shear forces, a machine key experiences side pressures known as_________________?
Show answer Hide answer
Answer: A. bearing stresses
In addition to shear forces, machine keys experience crushing side pressures known as bearing stresses. As a shaft transmits torque, the key presses against the keyways of both the shaft and the rotating hub. This contac...
Q2. What material category are standard rivets manufactured from_________________?
Show answer Hide answer
Answer: D. ductile
Ductile materials possess high plastic deformation capacity without fracturing, making them ideal for forming strong, permanent rivet heads. Installing a rivet requires hammering or pressing the tail end to expand it com...
Q3. What is the fastener pattern called if adjacent rivet rows are staggered and the outer edge row contains only a single rivet__________________?
Show answer Hide answer
Answer: C. diamond riveting
Diamond riveting features staggered adjacent rows with outer edge rows containing single rivets. This fastener pattern tapers outward symmetrically, resembling the geometric shape of a diamond. Tapered riveting patterns...
Q4. 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...
Q5. During a tensile test, the time-dependent slow elongation where stress increases at a constant load is termed_____________?
Show answer Hide answer
Answer: A. creeping
Creep is defined as the slow, progressive, time-dependent plastic elongation of engineering materials under a constant mechanical load. This phenomenon occurs predominantly when metallic or polymeric components are subje...
Q6. 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
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 a...