Bending of members made of several materials

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SUMMARY

The discussion focuses on calculating bending stresses in non-homogeneous cross sections using a transformation method. Participants confirm that the area of one material is multiplied by 'n' (where n = E1/E2) to create a homogeneous cross section. The centroid and moment of inertia are then determined, allowing for the application of the bending stress formula, stress = -y*M/I. Additionally, the conversation explores the calculation of shear stress using the formula stress = V*Q/(Ib), raising questions about the determination of Q and I in non-homogeneous sections.

PREREQUISITES
  • Understanding of bending stress calculations in structural engineering
  • Knowledge of material properties, specifically Young's modulus (E1, E2)
  • Familiarity with centroid and moment of inertia concepts
  • Basic principles of shear stress in composite materials
NEXT STEPS
  • Research the transformation method for non-homogeneous cross sections in structural analysis
  • Learn how to calculate the centroid and moment of inertia for composite materials
  • Study the application of shear stress formulas in non-homogeneous materials
  • Explore methods for evaluating the strength of fasteners in composite material joints
USEFUL FOR

Structural engineers, materials scientists, and students studying composite material mechanics will benefit from this discussion, particularly those involved in analyzing bending and shear stresses in non-homogeneous cross sections.

Dell
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when given a non homogeneous cross section, i know that i can find the bending(normal ) stresses by transforming the cross section into a homogeneous one by multiplying the area of one of the materials be 'n', where n=E1/E2,
then i solve normally, finding the centroid of the new cross section, finding the moment of inertia, and then simply using stress=-y*M/I, finally when calculationg the stress for the second material(the one i transformed), i multiply the answer i got by the same'n' i used.

can this method be used to calculate the shear stress somehow?? how would i find the shear stress in a non homogeneous cross section,

if stress=V*Q/(Ib) how do i calculate Q and I? can i use the same normal as in normal stress
 
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Exactly. That is how you do determine the stress needs of whatever is fastening the two materials together, be it glue, welds or some other discrete fastener such as rivets.
 

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