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Deflection Checks

The document describes procedures for checking deflection in reinforced concrete beams subjected to different loading conditions. It provides examples of deflection calculations for beams that are simply supported, fixed at both ends, or cantilevered, and subjected to uniform distributed loads or concentrated point loads. In each example, the calculated deflection is checked against a specified allowable deflection to check if the beam design is safe.

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abhi arote
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287 views8 pages

Deflection Checks

The document describes procedures for checking deflection in reinforced concrete beams subjected to different loading conditions. It provides examples of deflection calculations for beams that are simply supported, fixed at both ends, or cantilevered, and subjected to uniform distributed loads or concentrated point loads. In each example, the calculated deflection is checked against a specified allowable deflection to check if the beam design is safe.

Uploaded by

abhi arote
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as XLS, PDF, TXT or read online on Scribd
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DEFLECTION CHECKS FOR R.C.

BEAMS

Check for Deflection :

a) UDL ON SIMPLY SUPPORTED STRUCTURE a1) UDL ON FIXED BEA

Span L = 7.20 m Span L


Width B = 300 mm Width B
Depth D = 600 mm Depth D
Total Load W = 50.00 KN/m2 Total W

Modulus of Elasticity Moment of inertia Modulus of Elasticity


E = 2.2 x 10 4 I = B x D3 E =
12

I = 0.0054 m4
Actual Deflection Actual Deflection
d = 5 WL 4
d =
384 EI

= 14.73 mm < 21 mm SAFE =

b) CONCENTRATED LOAD ON SIMPLY SUPPORTED STRUCTURE

Span L = 8.00 m
Width B = 230 mm
Depth D = 750 mm
Total Concentrated Point)
P = 290.00 KN

Modulus of Elasticity Moment of inertia


E = 2.2 x 10 4 I = B x D3
12

I = 0.00809 m4
Actual Deflection
d = PL3
48 EI

= 17.39 mm < 23 mm SAFE


c) UDL ON STRUCTURE FIXED AT BOTH ENDS

Span L = 8.35 m
Width B = 350 mm
Depth D = 500 mm
Total Load W = 30.00 KN/m2

Modulus of Elasticity Moment of inertia


E = 2.2 x 10 4 I = B x D3
12

I = 0.00365 m4
Actual Deflection
d = WL4
384 EI

= 4.73 mm < 24 mm SAFE

d) CONCENTRATED LOAD ON STRUCTURE FIXED AT BOTH ENDS

Span L = 8.00 m
Width B = 1000 mm
Depth D = 300 mm
Total Concentrated Point)
P = 150.00 KN

Modulus of Elasticity Moment of inertia


E = 2.2 x 10 4 I = B x D3
12

I = 0.00225 m4
Actual Deflection
d = PL3
192 EI

= 8.08 mm < 23 mm SAFE

e) UDL ON CANTILEVER STRUCTURE

Span L = 1.80 m
Width B = 230 mm
Depth D = 500 mm
Total Load W = 30.00 KN/m2

Modulus of Elasticity Moment of inertia


E = 2.2 x 10 4
I = B x D3
12

I = 0.0024 m4
Actual Deflection
d = WL4
8 EI

= 0.75 mm < 5.14 mm SAFE

f) CONCENTRATED LOAD ON CANTILEVER STRUCTURE

Span L = 1.50 m
Width B = 400 mm
Depth D = 750 mm
Total Concentrated Point)
P = 400.00 KN

Modulus of Elasticity Moment of inertia


E = 2.2 x 10 4
I = B x D3
12

I = 0.01406 m4
Actual Deflection
d = PL3
3 EI

= 1.45 mm < 4.29 mm SAFE

g) UDL ON PROPPED CANTILEVER STRUCTURE

Span L = 8.00 m
Width B = 1000 mm
Depth D = 300 mm
Total Load W = 15.00 KN/m2
Modulus of Elasticity Moment of inertia
E = 2.2 x 10 4 I = B x D3
12

I = 0.00225 m4
Actual Deflection
d = WL4
185 EI

= 6.71 mm < 23 mm SAFE


1) UDL ON FIXED BEAM

= 7.30 m
= 230 mm
= 500 mm
= 30.00 KN/m2

odulus of Elasticity Moment of inertia


2.2 x 10 4 I = B x D3
12

I = 0.0024 m4
ctual Deflection
WL4
384 EI

4.21 mm < 20.8571 mm SAFE


e) UDL ON CANTILEVER STRUCTURE

Span L = 2.25 m
Width B = 230 mm
Depth D = 650 mm
Total Load W = 65.00 KN/m2

Modulus of Elasticity Moment of inertia


E = 20.5 x 10 4
I =

8
I =
Actual Deflection
d = WL4
8 EI

= 0.30 mm < 6.42857 mm


Moment of inertia
B x D3
12

0.00342 m4

SAFE

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