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Design of Reinforced Concrete
Structure
(IS 456 :2000)
For Full Course visit,…
www.machenlink.com
RCC Design of Different Type of
Structural Elements
Beam
Column
Slab
RCC  Topics are taught thoroughly and systematically to clarify the basic
concepts and fundamental principles without weakening technical hardship.
 Many example problems are solved to demonstrate or to provide further
insights into the basic concepts and applications of fundamental principles.
 The solution of each example is preceded by a strategy, which is intended
to teach students to think about possible solutions to a problem before they
begin to solve it.
 Each solution provides a step-by-step procedure to guide the student in
problem-solving which really help students for university examinations and
for the conventional exam like ESE (Engineering Services Examinations).
Some Key Features of this Course
Design of Reinforced Concrete Structure (IS 456:2000)
01 || Introduction ||
02 || Analysis and Design of Beam || WSM ||
03 || Analysis and Design of Beam || LSM ||
04 || Design for Shear, Torsion and Bond ||
05 || Design for Slabs ||
06 || Design for Compression Members ||
For Full Course visit,…
www.machenlink.com
RCC What is β€œIS 456:2000” ?
 IS 456: 2000 is Indian National Building Code.
 Provide guidelines for the design and construction of structures.
 Evolved from the collective wisdom of expert structural engineers.
 Periodically revised to bring them in line with current research, and often, current trends.
01 || Introduction to RCC
RCC
01 || Introduction to RCC
Objective of Structural Design
compressionTension
Objective of Structural Design
IS 456 - 2000
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
Disaster Management of India
 2600People die every year due
to building collapse.
Objective of Structural Design
2013
7 storey Building collapsed in
Thane , Maharashtra
Use of sub-standard
construction Material.
Reason of Failure
Objective of Structural Design
IS 456 - 2000
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
.. .. .. .. … ..
1. Strength
Stresses should not exceed
the critical values.
Objective of Structural Design
Ultadenga flyover in Kolkata
40m Curve
Objective of Structural Design
2. Stability
 Overturning
 Buckling
 Sliding
should be prevented.
Objective of Structural Design
3. Serviceability
 Stiffness
 Deflection
 Impermeability
 Durability
Objective of Structural Design
2.
Stability
1.
3.
Strength
Serviceability
Objective of Structural Design
Planning phase
Structural Analysis And Design
Are the safety &
Serviceability
Requirement
Satisfied?
Construction Phase
YES
NO
Revised
Structural
Design
Structural Analysis And Design:
 Selection of most appropriate
Structural System to bring the architect
concept into being
 Estimation of loads on structure
 Structural analysis for estimation of
stresses.
 Structural Design of actual
proportion( size, reinforcement etc.)
for safety and serviceability.
 Submission of drawing.
Reinforced Concrete Construction
Planning Phase:
 Carried out by Architect/planner to
plan the layout of structure
 Functional Requirement
 Aesthetics Requirement
 Budgetary Requirements
Concrete & Reinforced Steel
Plain Concrete is made by mixing of :
οƒ˜ Cement
οƒ˜ Aggregate
οƒ˜ Water
οƒ˜ Admixture
 Concrete is generally prepared at the site itself,
although ready-mixed concrete and precast
concrete are also used.
 Concrete tensile strength is very low
(negligible) compare to its compressive
strength.
 Concrete compressive strength is very high.
Hairline Crack
(not Perceptible )
Steel Bars Undergo
Yielding
Steel Bars embedded
Ductile mode of failure under heavy load.
Concrete & Reinforced Steel
Steel embedded in concrete called
reinforced steel
 Usually manufactured in factories
under control conditions.
 It can effectively take up the tension
that induced due to –
οƒ˜ flexural tension
οƒ˜ direct tension
οƒ˜ diagonal tension
οƒ˜ environmental effect
 Steel also impart ductility to materials
 Steel compressive strength is
more than concrete.
= RCC
Grade of Concrete
Design properties of concrete are:
This is measured by standard test on concrete cube.
150 mm Cube
M 20
M refers to mix Characteristics compressive strength (28
Days) expressed in MPa (N/mm2 )
Grade of Concrete
Design properties of concrete are:
150 mm Cube
Types of concrete Grade
High Strength concrete Above M 60
Standard Strength concrete M25 to M 55
Normal Strength concrete M 10 to M20
IS 456 -2000 TABLE NO. 02
This is measured by standard test on concrete cube.
β‰  β‰ 
Characteristic Strength ( fck )
Even we collect them from same mix but there
Compressive strength is not same.
Characteristic Strength ( fck )
Definition: Its is defined as the strength of material below which not more
than 5% result are expected to fall.
Specimen
Compressive strength (28 days)5% Area
 Subjected to considerable variation in
strength.
 The variation in concrete is expressed in
terms of standard deviation and/or
coefficient of variation.
Target mean strength fm = fck + 1.65s
Characteristic
strength
1.65𝜎
Mean
strength
Coefficient of variation =
π‘ π‘‘π‘Žπ‘›π‘‘π‘Žπ‘Ÿπ‘‘ π‘‘π‘Žπ‘£π‘–π‘Žπ‘‘π‘–π‘œπ‘›
π‘šπ‘’π‘Žπ‘› π‘ π‘‘π‘Ÿπ‘’π‘›π‘”π‘‘β„Ž
Characteristic Strength ( fck )
Definition: Its is defined as the strength of material below which not more
than 5% result are expected to fall.
Values of standard deviation ( 𝜎 ) as per IS 456-2000
Grade M 10, M 15 M 20, M25 β‰₯ M 30
𝜎 (N/π‘šπ‘š2) 3.5 4.0 5.0
Modulus of Elasticity of Concrete (𝑬 𝒄)
Concrete - Brittle material.
 Non-elastic
 Non-linear
Only initial portion of
curve is linear.
𝑬 𝒄 =
π‘†π‘‘π‘Ÿπ‘’π‘ π‘ 
π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘›
1. Short-term elastic strain
Strain
Stress
2. Long-term elastic strain
𝑬 𝒄 = short-term modulus
of elasticity
𝑬 𝒄𝒆 = effective modulus
of elasticity
(Instantaneous load) (creep & shrinkage)
Modulus of Elasticity of Concrete (𝑬 𝒄)
Possible type of 𝑬 𝒄 (Short-term strain)
 Initial Tangent Modulus (ITM)
 Tangent Modulus (TM)
 Secant modulus (SM)
IT
T
S
Strain
Stress
Specified
stress level
 Empirical formula for static modulus
given by IS 456-2000 (Cl. 6.2.3.1)
𝑬 𝒄 = 5000 fcπ’Œ
Based on ITM
Tensile Strength
7 to 15% of compressive strength.
Tensile strength tests.
 Direct tension test
 Splitting test
 Flexural Tension test.
Secondary stresses
induced due to
gripping
Direct tension test
Tensile Strength
7 to 15% of compressive strength.
Tensile strength tests.
 Direct tension test
 Splitting test
 Flexural Tension test.
Splitting Test
Tensile Strength
7 to 15% of compressive strength.
Tensile strength tests.
 Direct tension test
 Splitting test
 Flexural Tension test.
Supporting pin
Loading pin
Three Point Method
100mm x 100mm x 500mm
Tensile Strength
7 to 15% of compressive strength.
Modulus of Rupture (fcr )
The theoretical maximum tensile stress
reached in extreme fiber.
Empirical Formula suggested by Code
fcr = 0.7 fcπ’Œ
Relation between tensile &
compressive stress.
M
Z
=fcr
Creep (𝜽)
Instantaneous
strain
Creep
strain
Ultimate creep
strain
Totalstrain
Time (t)
Time dependent component of total
strain
Instantaneous
strain
Creep
strain
Creep coefficient:
𝜽 =
πΆπ‘Ÿπ‘’π‘’π‘ π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘› π‘Žπ‘‘ π‘‘π‘–π‘šπ‘’ (𝑑)
π‘–π‘›π‘ π‘‘π‘Žπ‘›π‘‘π‘Žπ‘›π‘’π‘œπ‘’π‘  π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘›
Both depend on Stress level.
Creep (𝜽)
Creep Coefficient for design:
IS 456-2000 (Cl. 6.2.5.1)
Days 𝜽
7 2.2
28 1.6
1 year 1.1
Effective modulus of Elasticity (𝑬 𝒄𝒆)
Or long-term modulus
𝑬 𝒄𝒆 =
𝑬 𝒄
1+𝜽
Instantaneous
strain
Creep
strain
Ultimate creep
strain
Totalstrain
Time (t)
Instantaneous
recovery
Creep
recovery
Residual creep
strain
unloading
Shrinkage
Concrete shrinks ( hardened state )
Due to loss of moisture by Evaporation.
Similar to Creep – induced time dependent strain. Unlike Creep – independent of Stress level
Dry Shrinkage:– reduction in volume of concrete.
Shrinkage Restrain developed tensile stress – lead to cracking
Differential Shrinkage: due to moisture or thermal gradient,
OR due to unsymmetrically placed reinforced steel in beam
 Induced internal stresses
 Curvature
 Deflection
Shrinkage strain for Design:
Expressed as linear strain (mm/mm)
IS 456-2000 (Cl. 6.2.4.1)
0.0003 mm/mm
Durability
Effective way to Increase durability:
 Provide adequate clear cover to embedded steel.
 Using coated steel
 Using appropriate minimum grade of concrete according to
environmental exposure condition.
Nominal or clear cover
What is durability of concrete ?
concrete is to serve the purpose for which it is designed during its intended lifetime.
Some factors which effect the durability of concrete.
Internal factors External factors
 Environmental
effects
 Properties of
ingredient used to
make concrete
 Alkali-reactive aggregate
 Salty water
Durability
Exposure
category
Description
Min.
Grade
Min.
Cover
(mm)
Min.
Cement
Kg/π’Ž πŸ‘
)
Max.
Free w/c
content
Mild Protected against weather or aggressive conditions, except if located in
in coastal area
M 20 20 300 0.55
Moderate Sheltered from severe rain or freezing whilst wet, or Exposed to
condensation & rain, or continuously under water, or in contact with or
buried under non-aggressive soil or ground water, or sheltered from
saturated β€˜salt air’ in coastal area
M 25 30 300 0.50
Severe Exposed to severe rain, alternate wetting and drying or occasional
freezing whilst wet or severe condensation, or completely immersed in
sea water, or exposed to coastal area
M 30 45 320 0.45
Very severe Exposed sea water spray, corrosive fumes or severe freezing whilst wet,
wet, or in contact with or buried under aggressive sub-soil or ground
water
M35 50 340 0.45
Extreme Members in tidal zone, or member in direct contact with liquid/solid
aggressive chemicals
M40 75 360 0.40
Cl. 8.2.2.1 – Environmental Exposure Conditions
Reinforced Steel
Size of Bars…
Rebars – Reinforcing Bars
Nominal diameters - 5 mm to 50 mm.
Mostly used between – 8 mm to 32 mm
Reinforced Steel
Size of Bars…
Rebars – Reinforcing Bars
Nominal diameters - 5 mm to 50 mm.
Mostly used between – 8 mm to 32 mm
Reinforced Steel
Size of Bars…
Rebars – Reinforcing Bars
Nominal diameters - 5 mm to 50 mm.
Plain Bars Deformed Bars
Smooth Surface Lugs on surface
Lugs
enhanced the
bond
between steel
and concrete
Reinforced Steel
Grade of Steel: Yield strength of steel
Cl. 36.1 – Specified yield strength may be treated as characteristic strength. (Expressed in N/mm2)
Types of steel:
 Mild steel (Fe 250): less commonly used because of
their low strength.
 Medium Tensile Steel
 Cold twisted Bar: HYSD ( High Yield Strength
Deformed ) Bars. e.g. Fe 415, 500
 TMT Bars: Thermo mechanically Treated(TMT)
inner core – soft and ductile
outer shell – very high tensile strength
Strain
Stress
Fe500
Fe415
Fe250
Modulus of elasticity (𝑬 𝑺):
For all grade – initial linear elastic portion with
constant slope
Cl. 5.6.3 specifies 𝑬 𝑺 = 2 x 105
π‘€π‘π‘Ž
𝑬 𝑺 = 2 x 105
π‘€π‘π‘Ž
Anti-corrosive coating
High strength
Ductile
𝑓𝑦
Yield Strength of HYSD Bars
Strain
Stress
𝐸𝑆
𝐸𝑆
𝑓𝑦
0.002 𝑓𝑦
𝐸𝑆
πœ€ 𝑦 = 0.002 + 𝑓𝑦/𝐸𝑆
Yield stress is read at 0.2%
proof strain.
i.e. at strain of 0.002

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Design of Reinforced Concrete Structure (IS 456:2000)

  • 1. Design of Reinforced Concrete Structure (IS 456 :2000) For Full Course visit,… www.machenlink.com
  • 2. RCC Design of Different Type of Structural Elements Beam Column Slab
  • 3. RCC  Topics are taught thoroughly and systematically to clarify the basic concepts and fundamental principles without weakening technical hardship.  Many example problems are solved to demonstrate or to provide further insights into the basic concepts and applications of fundamental principles.  The solution of each example is preceded by a strategy, which is intended to teach students to think about possible solutions to a problem before they begin to solve it.  Each solution provides a step-by-step procedure to guide the student in problem-solving which really help students for university examinations and for the conventional exam like ESE (Engineering Services Examinations). Some Key Features of this Course
  • 4. Design of Reinforced Concrete Structure (IS 456:2000) 01 || Introduction || 02 || Analysis and Design of Beam || WSM || 03 || Analysis and Design of Beam || LSM || 04 || Design for Shear, Torsion and Bond || 05 || Design for Slabs || 06 || Design for Compression Members || For Full Course visit,… www.machenlink.com
  • 5. RCC What is β€œIS 456:2000” ?  IS 456: 2000 is Indian National Building Code.  Provide guidelines for the design and construction of structures.  Evolved from the collective wisdom of expert structural engineers.  Periodically revised to bring them in line with current research, and often, current trends. 01 || Introduction to RCC
  • 9. IS 456 - 2000 .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. Disaster Management of India  2600People die every year due to building collapse. Objective of Structural Design
  • 10. 2013 7 storey Building collapsed in Thane , Maharashtra Use of sub-standard construction Material. Reason of Failure Objective of Structural Design
  • 11. IS 456 - 2000 .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. .. .. .. .. … .. 1. Strength Stresses should not exceed the critical values. Objective of Structural Design
  • 12. Ultadenga flyover in Kolkata 40m Curve Objective of Structural Design
  • 13. 2. Stability  Overturning  Buckling  Sliding should be prevented. Objective of Structural Design
  • 14. 3. Serviceability  Stiffness  Deflection  Impermeability  Durability Objective of Structural Design
  • 16. Planning phase Structural Analysis And Design Are the safety & Serviceability Requirement Satisfied? Construction Phase YES NO Revised Structural Design Structural Analysis And Design:  Selection of most appropriate Structural System to bring the architect concept into being  Estimation of loads on structure  Structural analysis for estimation of stresses.  Structural Design of actual proportion( size, reinforcement etc.) for safety and serviceability.  Submission of drawing. Reinforced Concrete Construction Planning Phase:  Carried out by Architect/planner to plan the layout of structure  Functional Requirement  Aesthetics Requirement  Budgetary Requirements
  • 17. Concrete & Reinforced Steel Plain Concrete is made by mixing of : οƒ˜ Cement οƒ˜ Aggregate οƒ˜ Water οƒ˜ Admixture  Concrete is generally prepared at the site itself, although ready-mixed concrete and precast concrete are also used.  Concrete tensile strength is very low (negligible) compare to its compressive strength.  Concrete compressive strength is very high.
  • 18. Hairline Crack (not Perceptible ) Steel Bars Undergo Yielding Steel Bars embedded Ductile mode of failure under heavy load. Concrete & Reinforced Steel Steel embedded in concrete called reinforced steel  Usually manufactured in factories under control conditions.  It can effectively take up the tension that induced due to – οƒ˜ flexural tension οƒ˜ direct tension οƒ˜ diagonal tension οƒ˜ environmental effect  Steel also impart ductility to materials  Steel compressive strength is more than concrete. = RCC
  • 19.
  • 20. Grade of Concrete Design properties of concrete are: This is measured by standard test on concrete cube. 150 mm Cube M 20 M refers to mix Characteristics compressive strength (28 Days) expressed in MPa (N/mm2 )
  • 21. Grade of Concrete Design properties of concrete are: 150 mm Cube Types of concrete Grade High Strength concrete Above M 60 Standard Strength concrete M25 to M 55 Normal Strength concrete M 10 to M20 IS 456 -2000 TABLE NO. 02 This is measured by standard test on concrete cube.
  • 22. β‰  β‰  Characteristic Strength ( fck ) Even we collect them from same mix but there Compressive strength is not same.
  • 23. Characteristic Strength ( fck ) Definition: Its is defined as the strength of material below which not more than 5% result are expected to fall. Specimen Compressive strength (28 days)5% Area  Subjected to considerable variation in strength.  The variation in concrete is expressed in terms of standard deviation and/or coefficient of variation. Target mean strength fm = fck + 1.65s Characteristic strength 1.65𝜎 Mean strength Coefficient of variation = π‘ π‘‘π‘Žπ‘›π‘‘π‘Žπ‘Ÿπ‘‘ π‘‘π‘Žπ‘£π‘–π‘Žπ‘‘π‘–π‘œπ‘› π‘šπ‘’π‘Žπ‘› π‘ π‘‘π‘Ÿπ‘’π‘›π‘”π‘‘β„Ž
  • 24. Characteristic Strength ( fck ) Definition: Its is defined as the strength of material below which not more than 5% result are expected to fall. Values of standard deviation ( 𝜎 ) as per IS 456-2000 Grade M 10, M 15 M 20, M25 β‰₯ M 30 𝜎 (N/π‘šπ‘š2) 3.5 4.0 5.0
  • 25. Modulus of Elasticity of Concrete (𝑬 𝒄) Concrete - Brittle material.  Non-elastic  Non-linear Only initial portion of curve is linear. 𝑬 𝒄 = π‘†π‘‘π‘Ÿπ‘’π‘ π‘  π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘› 1. Short-term elastic strain Strain Stress 2. Long-term elastic strain 𝑬 𝒄 = short-term modulus of elasticity 𝑬 𝒄𝒆 = effective modulus of elasticity (Instantaneous load) (creep & shrinkage)
  • 26. Modulus of Elasticity of Concrete (𝑬 𝒄) Possible type of 𝑬 𝒄 (Short-term strain)  Initial Tangent Modulus (ITM)  Tangent Modulus (TM)  Secant modulus (SM) IT T S Strain Stress Specified stress level  Empirical formula for static modulus given by IS 456-2000 (Cl. 6.2.3.1) 𝑬 𝒄 = 5000 fcπ’Œ Based on ITM
  • 27. Tensile Strength 7 to 15% of compressive strength. Tensile strength tests.  Direct tension test  Splitting test  Flexural Tension test. Secondary stresses induced due to gripping Direct tension test
  • 28. Tensile Strength 7 to 15% of compressive strength. Tensile strength tests.  Direct tension test  Splitting test  Flexural Tension test. Splitting Test
  • 29. Tensile Strength 7 to 15% of compressive strength. Tensile strength tests.  Direct tension test  Splitting test  Flexural Tension test. Supporting pin Loading pin Three Point Method 100mm x 100mm x 500mm
  • 30. Tensile Strength 7 to 15% of compressive strength. Modulus of Rupture (fcr ) The theoretical maximum tensile stress reached in extreme fiber. Empirical Formula suggested by Code fcr = 0.7 fcπ’Œ Relation between tensile & compressive stress. M Z =fcr
  • 31. Creep (𝜽) Instantaneous strain Creep strain Ultimate creep strain Totalstrain Time (t) Time dependent component of total strain Instantaneous strain Creep strain Creep coefficient: 𝜽 = πΆπ‘Ÿπ‘’π‘’π‘ π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘› π‘Žπ‘‘ π‘‘π‘–π‘šπ‘’ (𝑑) π‘–π‘›π‘ π‘‘π‘Žπ‘›π‘‘π‘Žπ‘›π‘’π‘œπ‘’π‘  π‘ π‘‘π‘Ÿπ‘Žπ‘–π‘› Both depend on Stress level.
  • 32. Creep (𝜽) Creep Coefficient for design: IS 456-2000 (Cl. 6.2.5.1) Days 𝜽 7 2.2 28 1.6 1 year 1.1 Effective modulus of Elasticity (𝑬 𝒄𝒆) Or long-term modulus 𝑬 𝒄𝒆 = 𝑬 𝒄 1+𝜽 Instantaneous strain Creep strain Ultimate creep strain Totalstrain Time (t) Instantaneous recovery Creep recovery Residual creep strain unloading
  • 33. Shrinkage Concrete shrinks ( hardened state ) Due to loss of moisture by Evaporation. Similar to Creep – induced time dependent strain. Unlike Creep – independent of Stress level Dry Shrinkage:– reduction in volume of concrete. Shrinkage Restrain developed tensile stress – lead to cracking Differential Shrinkage: due to moisture or thermal gradient, OR due to unsymmetrically placed reinforced steel in beam  Induced internal stresses  Curvature  Deflection Shrinkage strain for Design: Expressed as linear strain (mm/mm) IS 456-2000 (Cl. 6.2.4.1) 0.0003 mm/mm
  • 34. Durability Effective way to Increase durability:  Provide adequate clear cover to embedded steel.  Using coated steel  Using appropriate minimum grade of concrete according to environmental exposure condition. Nominal or clear cover What is durability of concrete ? concrete is to serve the purpose for which it is designed during its intended lifetime. Some factors which effect the durability of concrete. Internal factors External factors  Environmental effects  Properties of ingredient used to make concrete  Alkali-reactive aggregate  Salty water
  • 35. Durability Exposure category Description Min. Grade Min. Cover (mm) Min. Cement Kg/π’Ž πŸ‘ ) Max. Free w/c content Mild Protected against weather or aggressive conditions, except if located in in coastal area M 20 20 300 0.55 Moderate Sheltered from severe rain or freezing whilst wet, or Exposed to condensation & rain, or continuously under water, or in contact with or buried under non-aggressive soil or ground water, or sheltered from saturated β€˜salt air’ in coastal area M 25 30 300 0.50 Severe Exposed to severe rain, alternate wetting and drying or occasional freezing whilst wet or severe condensation, or completely immersed in sea water, or exposed to coastal area M 30 45 320 0.45 Very severe Exposed sea water spray, corrosive fumes or severe freezing whilst wet, wet, or in contact with or buried under aggressive sub-soil or ground water M35 50 340 0.45 Extreme Members in tidal zone, or member in direct contact with liquid/solid aggressive chemicals M40 75 360 0.40 Cl. 8.2.2.1 – Environmental Exposure Conditions
  • 36.
  • 37. Reinforced Steel Size of Bars… Rebars – Reinforcing Bars Nominal diameters - 5 mm to 50 mm. Mostly used between – 8 mm to 32 mm
  • 38. Reinforced Steel Size of Bars… Rebars – Reinforcing Bars Nominal diameters - 5 mm to 50 mm. Mostly used between – 8 mm to 32 mm
  • 39. Reinforced Steel Size of Bars… Rebars – Reinforcing Bars Nominal diameters - 5 mm to 50 mm. Plain Bars Deformed Bars Smooth Surface Lugs on surface Lugs enhanced the bond between steel and concrete
  • 40. Reinforced Steel Grade of Steel: Yield strength of steel Cl. 36.1 – Specified yield strength may be treated as characteristic strength. (Expressed in N/mm2) Types of steel:  Mild steel (Fe 250): less commonly used because of their low strength.  Medium Tensile Steel  Cold twisted Bar: HYSD ( High Yield Strength Deformed ) Bars. e.g. Fe 415, 500  TMT Bars: Thermo mechanically Treated(TMT) inner core – soft and ductile outer shell – very high tensile strength Strain Stress Fe500 Fe415 Fe250 Modulus of elasticity (𝑬 𝑺): For all grade – initial linear elastic portion with constant slope Cl. 5.6.3 specifies 𝑬 𝑺 = 2 x 105 π‘€π‘π‘Ž 𝑬 𝑺 = 2 x 105 π‘€π‘π‘Ž Anti-corrosive coating High strength Ductile 𝑓𝑦
  • 41. Yield Strength of HYSD Bars Strain Stress 𝐸𝑆 𝐸𝑆 𝑓𝑦 0.002 𝑓𝑦 𝐸𝑆 πœ€ 𝑦 = 0.002 + 𝑓𝑦/𝐸𝑆 Yield stress is read at 0.2% proof strain. i.e. at strain of 0.002