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AHSANULLAH UNIVERSITY OF
SCIENCE & TECHNOLOGY
DEPARTMENT OF CIVIL ENGINEERING

CE-416
PRE-STRESSED CONCRETE LAB
SESSIONAL
...
T BEAM DESIGN : SINGLY & DOUBLY :
USD

12/3/2013

2
CONTENTS

12/3/2013

3
 Assuming tensile failure condition
 Additional strength of steel after yielding
 ACI code emphasizes this method.

12/...
 Concrete beams are often casted integrally with the slab and
formed a “T” – shaped beam.
 These beams are very efficien...
Occurrence and Configuration of T-Beams
• Common construction type
• The slab forms the beam flange, while the part of the...
Compression
Zone

Tension Zone

Figure : Singly Reinforced Beam for positive moment condition

12/3/2013

7
Compression
Zone

Tension Zone

Figure : Doubly Reinforced Beam for positive moment condition

12/3/2013

8
12/3/2013

9
T-Action

Rectangular

12/3/2013

10
T Versus Rectangular Sections
When T-shaped sections are subjected to negative
bending moments, the flange is located in ...
From ACI 318, Section 8.10.2

Effective Flange Width :
Condition 1
For symmetrical T-Beam or having slab on both sides

a)...
From ACI 318, Section 8.10.2

Effective Flange Width :
Condition 2
Beams having slabs on one side only

a) bw + span/12
b)...
From ACI 318, Section 8.10.2

Effective Flange Width :
Condition 3
Isolated T Beam
a) beff ≤ 4 bw
b) hf ≥ bw/2

12/3/2013
...
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15
Case 1 : (N. A. is with in Flange)

hf

Strain Diagram

Stress Diagram
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16
Case 2 : (N. A. is with in Web)

12/3/2013

17
ANALYSIS OF T-BEAM
Analysis of T-Beams - ( a > hf)
Consider the total section in two parts:
1) Flange overhangs and corres...
ANALYSIS OF T BEAM
Case-1
0.85 fc’ (b-bw) hf = As2 fy

Where,

As1 = As – Asf
As2 = Asf

Case-2
0.85 fc’ bw a = As1 fy
0.8...
T BEAM MOMENT CALCULATION
b

εc=0.003

0.85fc’
a/2

hf

C

c

For :

a

hf

d

d-a/2

As
T

Strain Diagram

bw

Mn
M n1
M ...
THANK YOU

12/3/2013

21
ANY QUESTION
?

12/3/2013

22
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T BEAM (ULTIMATE STRENGTH DESIGN)

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Welcome to my presentation . Here you will find conceptual theory about T beam by Ultimate strength design . If any query , you can ask . Thank you .

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T BEAM (ULTIMATE STRENGTH DESIGN)

  1. 1. AHSANULLAH UNIVERSITY OF SCIENCE & TECHNOLOGY DEPARTMENT OF CIVIL ENGINEERING CE-416 PRE-STRESSED CONCRETE LAB SESSIONAL PRESENTED BY: S. M. RAHAT RAHMAN ID NO:10.01.03.044 COURSE TEACHERS: MUNSHI GALIB MUKTADIR SABREENA NASRIN 12/3/2013 1
  2. 2. T BEAM DESIGN : SINGLY & DOUBLY : USD 12/3/2013 2
  3. 3. CONTENTS 12/3/2013 3
  4. 4.  Assuming tensile failure condition  Additional strength of steel after yielding  ACI code emphasizes this method. 12/3/2013 4
  5. 5.  Concrete beams are often casted integrally with the slab and formed a “T” – shaped beam.  These beams are very efficient .  Here slab portion carries the compressive load and web portion carries the tension . 12/3/2013 5
  6. 6. Occurrence and Configuration of T-Beams • Common construction type • The slab forms the beam flange, while the part of the beam projecting below the slab forms is what is called web or stem. 12/3/2013 6
  7. 7. Compression Zone Tension Zone Figure : Singly Reinforced Beam for positive moment condition 12/3/2013 7
  8. 8. Compression Zone Tension Zone Figure : Doubly Reinforced Beam for positive moment condition 12/3/2013 8
  9. 9. 12/3/2013 9
  10. 10. T-Action Rectangular 12/3/2013 10
  11. 11. T Versus Rectangular Sections When T-shaped sections are subjected to negative bending moments, the flange is located in the tension zone. On the other hand, when sections are subjected to positive bending moments, the flange is located in the compression zone and the section is treated as a Tsection. 12/3/2013 11
  12. 12. From ACI 318, Section 8.10.2 Effective Flange Width : Condition 1 For symmetrical T-Beam or having slab on both sides a) 16 hf + bw b) Span/4 c) c/c distance 12/3/2013 12
  13. 13. From ACI 318, Section 8.10.2 Effective Flange Width : Condition 2 Beams having slabs on one side only a) bw + span/12 b) bw + 6hf c) bw + 1/2 * beam clear distance 12/3/2013 13
  14. 14. From ACI 318, Section 8.10.2 Effective Flange Width : Condition 3 Isolated T Beam a) beff ≤ 4 bw b) hf ≥ bw/2 12/3/2013 14
  15. 15. 12/3/2013 15
  16. 16. Case 1 : (N. A. is with in Flange) hf Strain Diagram Stress Diagram 12/3/2013 16
  17. 17. Case 2 : (N. A. is with in Web) 12/3/2013 17
  18. 18. ANALYSIS OF T-BEAM Analysis of T-Beams - ( a > hf) Consider the total section in two parts: 1) Flange overhangs and corresponding steel; 2) Stem and corresponding steel; b - bw N.A. bw N.A. 12/3/2013
  19. 19. ANALYSIS OF T BEAM Case-1 0.85 fc’ (b-bw) hf = As2 fy Where, As1 = As – Asf As2 = Asf Case-2 0.85 fc’ bw a = As1 fy 0.85 fc’ bw a + 0.85 fc’ (b-bw) hf = As fy 12/3/2013 19
  20. 20. T BEAM MOMENT CALCULATION b εc=0.003 0.85fc’ a/2 hf C c For : a hf d d-a/2 As T Strain Diagram bw Mn M n1 M n2 Stress Diagram M n1 M n2 As Asf f y d Asf f y d hf 2 a 2 12/3/2013 20
  21. 21. THANK YOU 12/3/2013 21
  22. 22. ANY QUESTION ? 12/3/2013 22

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