In the case of sandwich beams, if the material of the faces has much larger modulus of elasticity than the material of the core, then it is ok to disregard the normal stresses in the core and assume that the faces resist all longitudinal bending stresses.

Question

BlackTom AI · Accepted Answer

In evaluating a statement about sandwich beams, it helps to separate the roles of the faces and the core in bending.
Option 1: True. The classic sandwich-beam theory states that when the face sheets have a much higher modulus of elasticity than the core, the faces predominantly carry the longitudinal bending stresses while the soft core mainly provides shear transfer and keeps the faces at a fixed separation. In this common regime (large E_f/E_c ratio), neglecting normal stresses in the core is a simplifying assumption that often yields good first-order results, because the core undergoes small axial strains while the faces experience the majority of the bending stress.
Option 2: False. Although the high-contrast condition just described makes it reasonable to minimize core normal stresses, it is not universally valid to completely disregard them. The core can still experience nonzero axial/normal stresses due to Poisson effects, geometric nonlinearity, bending-shear coupling, and any deviations from the idealized thin-face/low-density-core model. In some designs, especially where thicknesses are not extreme or where load paths induce significant core stiffness, neglecting core normal stresses can lead to error.

Therefore, the statement is conditionally correct under the common assumption of a very stiff faces / soft core with large E_f/E_c, but it is not an unconditional truth applicable to all sandwich-beam configurations. The key caveat is the ratio of moduli and the level of modeling accuracy required for the problem at hand.

BK10A6500 Engineering Mechanics 3 - Blended teaching 6.1.2025-20.4.2025 Quiz 12

In the case of sandwich beams, if the material of the faces has much larger modulus of elasticity than the material of the core, then it is ok to disregard the normal stresses in the core and assume that the faces resist all longitudinal bending stresses.

View Explanation

Log in for full answers

Similar Questions

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

The CVP and break-even analysis are supported by a range of important assumptions. Which of the following is not an assumption of the CVP:

The break-even point is that at which:

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler