Slope is defined as the angle between the tangent of the elastic curve and the original horizontal axis of the beam. It is measured in radians or degrees. Deflection is the vertical distance between the position of a point on the beam axis before and after loading. Deflection is measured in millimeters. Flexural rigidity is the product of a beam's modulus of elasticity and moment of inertia, which represents its resistance to bending.

2. SLOPE
AND
DEFLECTION

3. SLOPE :
• Slope at any section in a deflected beam
is defined as the angle measured
between the tangent to the elastic curve
and original (horizontal) axis of the
beam.
Tangent at B
W
L
A
ymax7
max
B'
B
2
w
2
ymax7
max max
C
W
A B
w
L
L
2
• It is denoted by  or i.
• It is generally measured in
radians or degrees.
 Note : 1° = p / 180 rad
Elastic Curve

4. DEFLECTION :
• Deflection of a point on the axis of the beam is defined as the vertical
distance between its positions before & after loading (bending).
• It is denoted by y or d or D.
• It is generally measured in 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