Slope and deflection

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2. SLOPE
AND
DEFLECTION

3. SLOPE:
•Slopeatanysectioninadeflectedbeam
isdefinedastheanglemeasured
betweenthetangenttotheelasticcurve
andoriginal(horizontal)axisofthe
beam.
Tangent at B
W
L
A
y
max
7

max
B'
B
2
w
2
y
max
7

max

max
C
W
A B
w
L
L
2
•Itisdenotedbyori.
•Itisgenerallymeasuredin
radiansordegrees .
Note:1°=p/180rad
Elastic Curve

4. DEFLECTION:
•Deflectionofapointontheaxisofthebeamisdefinedasthevertical
distancebetweenitspositionsbefore&afterloading(bending).
•ItisdenotedbyyordorD.
•Itisgenerallymeasuredin mm.
Radius of curvature:
•It is the radius of arc into which the beam has been bent.
Flexural Rigidity :
•The product of modulus of elasticity and moment of inertia is
known as flexural rigidity.
•Flexural rigidity = E.I N-mm
2