(i) __reactions due to actual loading__
A_{y} = 13.75 kN; D_{y }=
31.25 kN
write the equations of bending moment for
different part of the beam (origin of axes at A).
M_{x} = 13.75x ; (0 ≤ x ≤ 2)
M_{x} = 13.75x - 5(x-2) ;
(2 ≤ x ≤ 4)
M_{x} = 13.75x - 5(x-2) -10(x-4)(x-4)/2; (4 ≤ x ≤
8)
(ii) __reactions due to virtual unit load at C__
a_{y} = 0.5 kN; b_{y}
= 0.5 kN
m_{x} = 0.5x
(0 ≤ x ≤ 4)
m_{x} = 0.5x - 1(x-4)
(4 ≤ x ≤ 8)
Depending upon the
validity of different bending moment equations, the deflection as
point C can be written as follows; |