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SUBMITED BY-
MD.TIPU SULTAN 121116
SUBMITED TO
Dr. Md. Rejaul Karim(Ph.D)
DEPARTMENT OF CIVIL ENGINEERING
DUET
contents
Definition of T-Beam: slide 4
Effective flange width of T-Beam: slide 6
Strength Analysis: slide 9
Design of T-Beam: slide 12
DESIGN OF
RECTANGULAR Beam
Definition of Beam:
 Beam is the horizontal member of a structure,
carrying transverse load. Beam carry the Floor slab or
the roof slab. Bram transfer all the loads including its
self-weight to the columns or walls.
Definition of R.C.C Beam:
 R.C.CDue . Beam is to bendingtical moments
and shear. to the versubjected external load ,
bending compresses the top fibers of the beam
and elongates the bottom fibers. The strength of
R.C.C. beam depends on the compsite action of
concrete and steels
Rectangular beam design : singly &
doubly reinforced beam by USD
• Compressive Strength of Concrete, f‘c (3000-5000psi)
• Yield Strength of Steel, fy(40-60 grade)
• Spacing of Reinforcement------ (≥ maximum diameter of the
bars or 1-1.5in or 1.50 times
maximum size of aggregate)
• Concrete Cover------ ( for main bars 1in and stirrups 0.75 in)
• Beam Width
• Beam Depth, d
• Steel Area
Physical Factors
StrengthFactors
Important Considerations In Design
•Factored Loads (Generally 1.2 Dead Load +
1.6 Live Load which implies factored moment
Mu)
•Capacity Reduction Factors,
 ɸ = 0.9 for Bending in Reinforced
Beam;
= 0.75 for Shear and Tension.
Important Definitions
 Balanced Steel Ratio
 When due to same load tensile steel theoretically reach its
yield and concrete attains its ultimate strain 0.003.
 ρb = 0.85 * (f’c/fy) * [{0.003/0.003+(fy/Ey)}*d].
 Under Reinforced Beam
 When steel begin to yield even though concrete compressive
strain < 0.003.
 Steel ratio <<<< ρb.
 Failure with warning
 Over Reinforced Beam
 When steel begin to yield with concrete compressive failure.
 Steel ratio >>>> ρb.
 Sudden Failure.
Design Types of RCC Beams
 Singly Reinforced Beam
 Steel Only at Tension Zone i.e. below neutral zone.
 Design procedure is General Flexural Design.
 Generally Rectangular Beam.
 Design as when ɸMn ≥ Mu
Doubly Reinforced Beam
Steel in Compression as well as Tension Zone.
General Flexural Design both for top and bottom fibre.
Both Rectangular and T-beam.
Design as when ɸMn ≤ Mu.
Flexural Design Equations
Singly Reinforced Beam
Steel calculation
Client already deliver design
&demand.
Country code give to you load for this demand.
Such as BNBC/ACI.
Moment calculation
For S.S.B M= 𝑙𝜔2
/8
If Beam size consider by Architect &Compression zone not
perfect
To carry compression load you should be Design doubly
Reinforced Beam,
DESIGN OF
T- Beam
T BEAM DESIGN : SINGLY & DOUBLY : USD
10/26/2015 13
Definition of T-Beam:
 When slabs are monolithically casted with beams
in a positive moment zone, part of the slab act as a
part of the beam and resist the longitudinal
compression. The resulting section is T beam.
 The top of the T-shaped cross section serves as a
flange or compression member in resisting
compressive stresses.
Fig:T-Beam
Effective flange width of T-Beam:
Strength Analysis:
For case I:
Area of concrete
section, Area of
steel are known
a Calculation
Are of concrete section, Area of steel are
known
εc=0.003
d
c
0.85fc’
a/2
d-a/2
C
T
Strain Diagram Stress Diagram
As
hf
 
n n1 n2
n1 s sf y
f
n2 sf y
2
2
M M M
a
M A A f d
h
M A f d
 
 
   
 
 
  
 
For : fha 
10/26/2015 21
b
bw
And Nominal moment
capacity will be
Mn = Mn1+ Mn2
T- Beam Moment calculation
Design of T-Beam:
Moment or
loading is
given
Area of steel in
flange
Nominal moment
Moment For Web
Area of steel (Web)
Total area of steel
conclusion

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Design of rectangular &amp; t beam using usd

  • 1. SUBMITED BY- MD.TIPU SULTAN 121116 SUBMITED TO Dr. Md. Rejaul Karim(Ph.D) DEPARTMENT OF CIVIL ENGINEERING DUET
  • 2. contents Definition of T-Beam: slide 4 Effective flange width of T-Beam: slide 6 Strength Analysis: slide 9 Design of T-Beam: slide 12
  • 4. Definition of Beam:  Beam is the horizontal member of a structure, carrying transverse load. Beam carry the Floor slab or the roof slab. Bram transfer all the loads including its self-weight to the columns or walls.
  • 5. Definition of R.C.C Beam:  R.C.CDue . Beam is to bendingtical moments and shear. to the versubjected external load , bending compresses the top fibers of the beam and elongates the bottom fibers. The strength of R.C.C. beam depends on the compsite action of concrete and steels
  • 6. Rectangular beam design : singly & doubly reinforced beam by USD • Compressive Strength of Concrete, f‘c (3000-5000psi) • Yield Strength of Steel, fy(40-60 grade) • Spacing of Reinforcement------ (≥ maximum diameter of the bars or 1-1.5in or 1.50 times maximum size of aggregate) • Concrete Cover------ ( for main bars 1in and stirrups 0.75 in) • Beam Width • Beam Depth, d • Steel Area Physical Factors StrengthFactors
  • 7. Important Considerations In Design •Factored Loads (Generally 1.2 Dead Load + 1.6 Live Load which implies factored moment Mu) •Capacity Reduction Factors,  ɸ = 0.9 for Bending in Reinforced Beam; = 0.75 for Shear and Tension.
  • 8. Important Definitions  Balanced Steel Ratio  When due to same load tensile steel theoretically reach its yield and concrete attains its ultimate strain 0.003.  ρb = 0.85 * (f’c/fy) * [{0.003/0.003+(fy/Ey)}*d].  Under Reinforced Beam  When steel begin to yield even though concrete compressive strain < 0.003.  Steel ratio <<<< ρb.  Failure with warning  Over Reinforced Beam  When steel begin to yield with concrete compressive failure.  Steel ratio >>>> ρb.  Sudden Failure.
  • 9. Design Types of RCC Beams  Singly Reinforced Beam  Steel Only at Tension Zone i.e. below neutral zone.  Design procedure is General Flexural Design.  Generally Rectangular Beam.  Design as when ɸMn ≥ Mu Doubly Reinforced Beam Steel in Compression as well as Tension Zone. General Flexural Design both for top and bottom fibre. Both Rectangular and T-beam. Design as when ɸMn ≤ Mu.
  • 11. Steel calculation Client already deliver design &demand. Country code give to you load for this demand. Such as BNBC/ACI. Moment calculation For S.S.B M= 𝑙𝜔2 /8 If Beam size consider by Architect &Compression zone not perfect To carry compression load you should be Design doubly Reinforced Beam,
  • 13. T BEAM DESIGN : SINGLY & DOUBLY : USD 10/26/2015 13
  • 14. Definition of T-Beam:  When slabs are monolithically casted with beams in a positive moment zone, part of the slab act as a part of the beam and resist the longitudinal compression. The resulting section is T beam.  The top of the T-shaped cross section serves as a flange or compression member in resisting compressive stresses.
  • 17.
  • 18.
  • 20. For case I: Area of concrete section, Area of steel are known a Calculation Are of concrete section, Area of steel are known
  • 21. εc=0.003 d c 0.85fc’ a/2 d-a/2 C T Strain Diagram Stress Diagram As hf   n n1 n2 n1 s sf y f n2 sf y 2 2 M M M a M A A f d h M A f d                  For : fha  10/26/2015 21 b bw And Nominal moment capacity will be Mn = Mn1+ Mn2 T- Beam Moment calculation
  • 23. Moment or loading is given Area of steel in flange Nominal moment
  • 24. Moment For Web Area of steel (Web) Total area of steel
  • 25.