6. RAH= 0 RBH= 0
Load Intensity= 3W Kg/m
Concentrated Load of 9W Kg Concentrated Load of 9W Kg
7. Y
X
x
The equation of the deflection of the beam at any distance
x from the ordinate axis is give by: -
From the equation it has been observed that the maximum
deflection occur at the middle part of the the beam and is
equal to: -
8. Y
X
x
= Deflection at middle of span
= Deflection at any linear distance ‘x’ from left of
span
= Deflection denoted by ‘y’.
RAV RBV
13. The total moment of inertia about the axis XX(NEUTRAL AXIS) of fig. 1 =
The total moment of inertia about the axis XX(NEUTRAL AXIS) of fig. 2 =
Therfore the % by which the moment of areas of fig.2 is more than fig.1=
From the bending moment diagram as shown we can get the maximum bendimng moment is =
Fro that, for designing of the crossection the bending moment will be taken as=
The by he formula: -
M = ρ
I y (where I= moment of areas of the figure about neutral
axis
ρ= Bending stress
y= distance from the taken axis to the neutral axis)
14. The equation of the shear stress curve of this figure from axis (a<=y<b)=
The equation of the shear stress curve of this figure from axis (a<=y<b)=
Due to the symmetric about the xx the remaining shape of the curve will be same
as that above the abscissa
a
b
o
bl
al
18. Moment generated by the force along X axis
Moment generated by the force along Y axis
Therefore, the combined stress acting act any point on the cross-section at the co-
ordinates (xl , yl ) is given by: -
19. Moment generated by the force along X axis
Moment generated by the force along Y axis
Therefore, the combined stress acting act any point on the cross-section at the co-
ordinates (xl , yl ) is given by: -
