Question 1: Mechanical Properties of Materials- Residual Strain onsider a struct

Question

Question 1: Mechanical Properties of Materials- Residual Strain onsider a structural steel bar of length L8m which has the stress-strain diagram shown below The bar is loaded axially until it elongates 5.0 mm, and then the load is removed. a) Find the modulus of elasticity of the initial linear part of the stress strain curve? b) Determine the permanent or residual strain after load is removed? c) How does the final length of the bar compare with its original length?_ 300 2 33 200 Yz 2 100 00.002 0.004 3? (Unit conversion: 1 m = 1000 mm; I MPa= 106 N/m2) Formula: Permanent or Residual Strain, E ERE Permanent Set ER L the amount the Final length of bar is greater than its original length where, Eg is the strain at point of load removal, and ?? is the elastic recovery and L is the original length PL Question 2: Mechanical Properties of Materials - Elastic Deformatiorn ???.. A cylindrical specimen of a titanium alloy having an elastic modulus of 108 GPa and an original diameter of 3.9 mm will experience only elastic deformation when a tensile load of 2000 N is e applied. Compute the maximum length of the specimen before deformation if the maximum ek allowable elongation is 0.42 mm (Unit conversion: 1 m = 1000 mm, l GPa= 109 Nm2) stress PL Formula: Modulus of Elasticity strain -- A*? where, P is the applied force, L is the length, A is the area, ? is the deformation and the strain or percentage increase in length

Explanation / Answer

Problem.1

(a) E = Stress/Strain with elastic limit = 200/0.001 = 200000 MPa

(b) Permanent residual strain = Strain at the last point of load removal - Elastic strain = 5/1800 - 0.0049 = 0.00167

(c) Final strain = 0.00167, so change in length = 0.00167*L = 0.00167*1800 = 3.02 mm, where L is the original length

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.