My professor questioned the class on the derivation of a stress equation. The eq

ID: 1860423 • Letter: M

Question

My professor questioned the class on the derivation of a stress equation.

The equation is: (Sigma)=PL/AE

I know P= load in (lb), L= length in (in), A= area or b*h in (in*in), (in^2), and E=elastic modulus in (lb/in^2).

I broke it down to: Stress= (lb*in)/ ((in^2)*lb/in^2)

And further broke it down into: Stress= (lb*in)/((in*in)(lb/(in*in)))

But then simplified it to: Stress= lb/(in^2)...

which I already knew, but would this be considered the derivation of the given equation?

(The course is Mechanical Analysis and Design 1, was not listed)

Stress is the force per unit area exerted on an object. It is basically the pressure

And when there is stress we find that the object is deformed and the deformation is called strain

Ratio of stress and strain is always constant for a particular material and is called the Young s Modulus denoted by E

The relation is given by

E = Stress/Strain

Strain = change in length (dL) / Original length (L)

= dL/L

Stress = E dL/L

(sigma) = E dL/L

Hope this helps

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