Determination of effective length of cantilever beam

Determination of effective length of cantilever beam

introduction :- hi guys in this article we know about determination of effective length of cantilever beam and what is effective length and what is cantilever beam and how we calculate effective length of cantilever beam.

As we know beam is load bearing structure member of building and their design should be made according to IS code because of calculation of effective length is quite helpful in their designing.

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What is definition of cantilever beam

A cantilever beam is rigid structure element anchored at one end with vertical support of wall or column and their second end is free in Air. Their supports structure will be vertical structure like wall or column.

Cantilever beam is horizontal structure that is firmed at only one end while other end is left free to carry some vertical load. The Beam fixed end has reation force and moment created by the load acting on the free end. Cantilever beam is allows for overhanging structure without any external bracing

Determination of effective length of cantilever beam

Determination of effective length of cantilever beam

How to calculate effective length of cantilever beam

The effective length or span of cantilever beam is taken as length of overhangs or length of clear span plus half of the effective depth of beam

effective length = length of clear span + half of effective depth of beam

Now taking the short definition of following terms that’s help in understanding the effective length of cantilever beam.

1) Clear span :- Clear span of cantilever beam is length of overhang part of beam to inner edge of support.

2) effective depth of beam :- effective depth of the cantilever beam is the distance from the tension Steel to the edge of compression fibre. In other word it is also described as effective depth of beam is equal to overall depth minus the effective cover of reinforcement.

effective depth = depth _ effective cover

3) effective cover :– is the distance measured from the the outer face of concrete fiber or member to the centre of main reinforcement in tension zone or compression zone.

effective cover = Clear cover + half dia of main reinforcement

4) Clear cover :- and clear cover of cantilever beam is defined as distance from the outer face of concrete member to the outermost face of reinforcement including stirrups

Clear cover = concrete cover+ dia of stirrup

5) Span of cantilever beam:- there is no real limitation of span of cantilever beam but we usually taken to 2 m to 2.5 m long. And their length of this pen is depend on several factors load acting on it and their moment.

How to calculate effective length cantilever beam

Determination of effective length of cantilever beam

Determination of effective length of cantilever beam

In given following diagram of cantilever beam that has firmly fixed at one end and second end is overhang and free in Air

We have given

Clear span of beam = 2000 mm

Depth of beam = 300 mm

Clear cover = 25 mm

Dia of main reinforcement = 12 mm

Calculation :-

effective length = length of clear span + half of effective depth of beam

effective depth = depth _ effective cover

efective cover = Clear cover + half dia of main reinforcement

effective cover = 25 mm + Dia/2

effective cover = 25 mm + 12/6 mm

Effective cover = 25+6 =31 mm putting this value

effective depth = 300 mm _31 = 271 mm

effective length = length of clear span + half of effective depth of beam

Clear span = 2000 mm

effective depth = 271 mm

Effective length = 2000 +271/2 mm

effective length of cantilever beam = 2000 mm + 135.5 mm

effective length of cantilever beam = 2135.5 mm

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