Design of rectangular & t beam using usd
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DESIGN OF RECTANGULAR & T-BEAM USING USD
SUBMITED BY- MD.TIPU SULTAN 121116
SUBMITED TO Dr. Md. Rejaul Karim(Ph.D)
DEPARTMENT OF CIVIL ENGINEERING DUET
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contents
Definition of T-Beam: slide 4Effective flange width of T-Beam: slide 6Strength Analysis: slide 9Design of T-Beam: slide 12
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DESIGN OF RECTANGULAR Beam
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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.
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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
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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
Strength Factors
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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.
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Important DefinitionsBalanced 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.
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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 BeamSteel 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.
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Flexural Design EquationsSingly Reinforced Beam
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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/8If Beam size consider by Architect &Compression zone not perfectTo carry compression load you should be Design doubly Reinforced Beam,
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DESIGN OF T- Beam
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T BEAM DESIGN : SINGLY & DOUBLY : USD
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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.
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Fig:T-Beam
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Effective flange width of T-Beam:
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Strength Analysis:
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For case I:Area of concrete section, Area of steel are known a Calculation
Are of concrete section, Area of steel are known
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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
fn2 sf y
2
2
M M M
aM A A f d
hM A f d
For : fha
b
bw
And Nominal moment capacity will be Mn = Mn1+ Mn2
T- Beam Moment calculation
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Design of T-Beam:
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Moment or
loading is given
Area of steel in flange
Nominal moment
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Moment For Web
Area of steel (Web)
Total area of steel
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conclusion