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Axial Stress - Strain Curve
And
Modulus Of Elasticity

Yasin , Aust
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
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
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
 LOAD

   STRUCTURE

Stress

strain

Yasin , Aust
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
STRESS-STRAIN CURVE

CONCRETE

Yasin , Aust
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
STRESS-STRAIN CURVE OF CONCRETE

Yasin , Aust
Stress-strain relationship
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
STRESS-STRAIN CURVE

STEEL

Yasin , Aust
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
– Stress-strain
responseis linear.
– Slope = Modulus of
Elasticity (Young’s
modulus) = E

Yasin , Aust
– 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
– 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
– The maximum supported
stress value is called the
ultimate stress, σu.

– Loading beyond σu
results in decreased
load supported and
eventually rupture.

Yasin , Aust
Modulus of elasticity
It is defined as the slope of its stress-strain curve in the
elastic deformation level.
E= Stress/Strain

Yasin , Aust
The modulus of elasticity of concrete is a function of

modulus of elasticity of the aggregates.

the cement matrix.

their relative proportions.

Yasin , Aust
CHARACTERISTICS

Stress
At Low
At High

Modulus of Elasticity
Constant
Decreasing
(cracking)

Yasin , Aust
CHARACTERISTICS

Elements

Modulus of Elasticity

Cement harden paste

10-30 Gpa

Aggregates

45-85 Gpa

Concrete Composite

30-50 Gpa

Yasin , Aust
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
Yasin , Aust

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Axial stress strain curve---sahin

  • 1. Axial Stress - Strain Curve And Modulus Of Elasticity Yasin , Aust
  • 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. 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. 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
  • 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
  • 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. STRESS-STRAIN CURVE OF CONCRETE Yasin , Aust
  • 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
  • 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. – Stress-strain responseis linear. – Slope = Modulus of Elasticity (Young’s modulus) = E Yasin , Aust
  • 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. – 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. – 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. 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. 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. CHARACTERISTICS Stress At Low At High Modulus of Elasticity Constant Decreasing (cracking) Yasin , Aust
  • 21. CHARACTERISTICS Elements Modulus of Elasticity Cement harden paste 10-30 Gpa Aggregates 45-85 Gpa Concrete Composite 30-50 Gpa Yasin , Aust
  • 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