Question

how do we use gradiant of the line
to find youngs mod.​

Answer 1

Explanation:

When working with a non-linear material, there is a difference between the Tangent modulus (the slope of the stress/strain curve at a point) and the Secant modulus (the slope of the straight line joining the point to the origin).

Use the Tangent modulus when looking at the effects of changing the stress by a small amount., and the Secant modulus when looking at the effects of applying the whole stress.

Secant modulus generalises to the "Secant modulus from one stress to another": it becomes the slope of the line joining one point on the stress/strain curve to another, and is used when looking at the effects of changing the stress by an amount which cannot be considered "small" (so the Tangent modulus cannot be used).

Answer 2

Answer:

$\huge\mathfrak\red{Answer }$

When working with a non-linear material, there is a difference between the Tangent modulus (the slope of the stress/strain curve at a point) and the Secant modulus (the slope of the straight line joining the point to the origin).

Use the Tangent modulus when looking at the effects of changing the stress by a small amount., and the Secant modulus when looking at the effects of applying the whole stress.

Secant modulus generalises to the "Secant modulus from one stress to another": it becomes the slope of the line joining one point on the stress/strain curve to another, and is used when looking at the effects of changing the stress by an amount which cannot be considered "small" (so the Tangent modulus cannot be used).