An idealize stress vs strain diagram is shown An idealize st

An idealize stress vs strain diagram is shown.

An idealize stress vs strain diagram is shown. Stress (MPa) 450 300- Strain (mm/inm) 0.0015 0.05 0.15 Part A: (12 points) Properly identify the four regions: IV Part B: (4 points) Compute the modulus of elasticity Part C: (8 points) Compute the modulus of resilience (u,) and modulus of toughness (u)

Solution

Solution:-

Given:-

(1)Answer:-

OA - Elastic region

AB – Plastic region

BC – strain hardening region

CD - Necking region

Where O point is origin.

(2) Solution:-

Young’s Modulus (E ) = stress/strain

= 300/0.0015

= 2 *10⁵ Mpa       Answer

(3) Solution:-

Modulus of resilience(u_r) = _y²/(2*E)

= 300²/(2*2*10⁵)

= 0.225 MPa    Answer

Modulus of toughness(u_t) = Area of stress strain diagram

                                       = 1/2* 300*0.0015 + 300*0.0485 + 300*0.2 + 1/2* 150*0.2

                                         = 89.775 MPa    Answer