$1\mathrm{.}14$ A tension test performed on a metal specimen to fracture produced the stressstrain relationship shown in Figure P$1\mathrm{.}14.$ Graphically determine the following $($show units and all work$)$:

a$.$ Modulus of elasticity within the linear portion.

b$.$ Yield stress at an offset strain of $0\mathrm{.}002\frac{m}{m}.$

c$.$ Yield stress at an extension strain of $0\mathrm{.}005\frac{m}{m}.$

d$.$ Secant modulus at a stress of $525$MPa.

e$.$ Tangent modulus at a stress of $525$MPa.

FIGURE P$1.14$