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# Axial stress strain curve---sahin

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My first individual presentation.It is unforgettable because the marks i got, was beyond my expectation.....(full marks).Thanks to galib sir and sabrina mam for arranging this presentation.special thank to razia mam for her valuable advices that helped me to enrich my presentation.

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### Axial stress strain curve---sahin

1. 1. Axial Stress - Strain Curve And Modulus Of Elasticity Yasin , Aust
2. 2. Presented by Name: : Md. Yasin Student No. :10.01.03.038 Section :A 4th Year 2nd Semester Department of civil Engineering Ahsanullah University Of Science and Technology Yasin , Aust
3. 3. STRESS In trying to pull the object apart, internal resisting forces are created and these internal forces are known as stress. Stress  =  Restoring force / area               =  (F)/(A) ,                                                                                                 where F is the deforming force acting on an area A of the body  Yasin , Aust
4. 4. STRAIN The ratio of change produced in the dimensions of a body by a system of forces or couples, in equilibrium, to its original dimensions is called strain. Yasin , Aust
5. 5.  LOAD    STRUCTURE Stress strain Yasin , Aust
6. 6. REQUIREMENT OF STRESS –STRAIN RELATIONSHIP To  analysis  and  design  members. It  is  most  important  while  dealing  with  reinforced   concrete which is a composite  material. Yasin , Aust
7. 7. STRESS-STRAIN CURVE CONCRETE Yasin , Aust
8. 8. STRESS—STRAIN CURVE OF CONCRETE At first, As load is applied ,the ratio between stress-strain is approximate linear. Concrete behaves almost as an elastic material. If load is removed,displacement is recovered virtually. Eventually, The curve is no longer linear. Behaves more and more as plastic materia. The shape of stress-strain curve is mostly depend on length of time of loading. Yasin , Aust
9. 9. STRESS-STRAIN CURVE OF CONCRETE Yasin , Aust
10. 10. Stress-strain relationship
11. 11. It is interesting to note that although cement paste and aggregates individually have linear stress-strain relationships, the behavior for concrete is non-linear. This is due to the mismatch and micro cracking created at the interfacial transition zone. Yasin , Aust
12. 12. STRESS-STRAIN CURVE STEEL Yasin , Aust
13. 13. Material behavior is generally represented by a stress-strain diagram, which is obtained by conducting a tensile test on a specimen of material. Yasin , Aust
14. 14. – Stress-strain responseis linear. – Slope = Modulus of Elasticity (Young’s modulus) = E Yasin , Aust
15. 15. – Begins at yield stress Σy – Slope rapidly decreases until it is horizontal or near horizontal – Large strain increase, small stress increase – Strain is permanent Yasin , Aust
16. 16. – After undergoing large deformations, the metal has changed its crystalline structure. – The material has increased resistance to applied stress (it appears to be “harder”). Yasin , Aust
17. 17. – The maximum supported stress value is called the ultimate stress, σu. – Loading beyond σu results in decreased load supported and eventually rupture. Yasin , Aust
18. 18. Modulus of elasticity It is defined as the slope of its stress-strain curve in the elastic deformation level. E= Stress/Strain Yasin , Aust
19. 19. The modulus of elasticity of concrete is a function of modulus of elasticity of the aggregates. the cement matrix. their relative proportions. Yasin , Aust
20. 20. CHARACTERISTICS Stress At Low At High Modulus of Elasticity Constant Decreasing (cracking) Yasin , Aust
21. 21. CHARACTERISTICS Elements Modulus of Elasticity Cement harden paste 10-30 Gpa Aggregates 45-85 Gpa Concrete Composite 30-50 Gpa Yasin , Aust
22. 22. The modulus of elasticity to be calculated using the following equation Where, W=weight of concrete = Compressive strength of concrete at 28 days (psi) Yasin , Aust
23. 23. Yasin , Aust