Bond, Development Length and
Splices
1
Development Length for Bundled Bars
Increase ld (for a single bar) by 20% for three-bar
bundle
Increase ld (for a single bar) by 33% for four-bar
bundle
Fictitious single bar with same area as bundle use
for cover an
Continuity in Building
Frames- Continuous
Members
1
Introduction
In common building frames, a typical one shown below, beams
and slab are continuous over multiple supports.
They should be analyzed and designed as a continuous
member.
2
Introduction
3
In
Analysis of Singly
Reinforced Concrete
Beam
Analysis of Singly Reinforced Concrete Beam
Given: As, b, h or d, fc,fy
Required : Mn or Mn
Check the Capacity: Mu from load
find a : from T C As f y 0.85 f cba a
find X : from X
a
1
where 1
;
As f y
0.85 f cb
Bond, Development Length and
Splices
1
Development Length of Reinforcement
The force in the reinforcement must be transferred to the surrounding
concrete without any slip. Also, a bar must have a development length
(embedded length) to develop the force g
One Way Solid Slab
1
Introduction
Types of Slabs
Solid slabs :- which is divided into
- One way solid slabs
- Two way solid slabs
Ribbed slabs (Joist Slabs) :- which is divided into
- One way ribbed slabs
- Two way ribbed slabs
Introduction
One way solid
Shear and Diagonal Tension
Shear and Diagonal Tension
Loads applied to beams produce bending moments, shearing
forces, as shown in
Figure, and in some cases
torques.
Moment is usually considered first; leading to cross sectional
dimensions and the longitu
Bar Cutoff / Bending
Reinforcement is sized for maximum moment
At points where moment is smaller, bars may be cut off or bent
to the opposite face
Flexural design capacity varies roughly with reinforcement area
a
M n As f y d
2
Theoretical cut-off point
Flexural Analysis of Beams
1
Balanced Conditions
Concrete reaches crushing strain cu = 0.003 and steel reaches
yield strain y = fy/Es, at the same time
2
Balanced Conditions
Fromthelinearstraincondition,
xb
cu
0.003
d cu y 0.003 f y
29000000
87000
87000
Flexural Analysis of Beams
1
Introduction
The beam is a structural member used to support the internal
moments and shears and in some cases torsion.
2
Introduction
Gradually increase the load of a simply supported beam
until it fails.
Three behavior stag
Reinforced Concrete I
Course Outline
Course Outline
Course Outline
Course Outline
Course Outline
Introduction
Reinforced concrete (RC) is the most widely used material
for construction.
In RC construction, two different materials, concrete and
steel rei