Bending of Beams - Deflection - Stress - Strain

[bakoo]

Homework Statement

A beam of lengh is supported in a clamp system. distance between clamp is 1m. Loads applied at 250mm and 750mm. strain gauge fitted at 175mm with 100ohm resistance. Weight is applied at points a and b.

Homework Equations

Dont know?

The Attempt at a Solution

I am in need of the formulas please. I need to find out the theory for deflection, stress and strain and any other information i can extract.

Thanks

 

[phyzmatix]

http://en.wikipedia.org/wiki/Stress_(physics )

http://en.wikipedia.org/wiki/Deformation_(mechanics )

http://en.wikipedia.org/wiki/Deflection_(engineering )

 

[piercas]

for your interest in the topic of bending of beams. I can provide you with some information and equations that will help you understand this concept better.

Firstly, deflection is the amount of bending that occurs in a beam when a load is applied. This can be calculated using the equation δ = (PL^3)/(48EI), where δ is the deflection, P is the load applied, L is the length of the beam, E is the modulus of elasticity, and I is the moment of inertia.

Stress is the force per unit area that a material experiences when subjected to a load. In the case of bending of beams, the stress can be calculated using the equation σ = (My)/I, where M is the bending moment, y is the distance from the neutral axis, and I is the moment of inertia.

Strain is the measure of deformation or elongation of a material in response to stress. It can be calculated using the equation ε = δ/L, where ε is the strain, δ is the deflection, and L is the original length of the beam.

In your given scenario, the strain gauge fitted at 175mm with 100 ohm resistance can be used to measure the strain at that specific point on the beam. This information, along with the equations mentioned above, can help you determine the deflection, stress, and strain at other points on the beam as well.

Additionally, it is important to consider the type of beam being used (e.g. cantilever, simply supported, etc.) and the type of loading (e.g. point load, distributed load, etc.) in order to accurately calculate the deflection, stress, and strain.

I hope this information helps in your understanding of bending of beams. Good luck with your homework!