Indeterminate Beam Problem- Mechanics Of Solids
A beam ABC rests on supports A and B and is supported by a cable at C that has a length h =
2(m). The beam ABC with lengths L = 2(m) (shown in Figure 3 below) supports a uniform load
q = 20 (kN/m) that acts over the entire distance '
Solution
a)
moment of inertia of beam = 1/12 *d 4
= 520833.33 mm 4
E= 70kN/mm 2
EI = 520833.33 *70= 3.65*10 7
kN-mm 2
b)
axeal rigidity of cable EA= 210 *3.14*5 2
= 16493 .36 kN
C)
let tension in cable C = T
then balance moment about point A
T*4+ R B *2 = 20*4*2 = 160 OR R B +2T = 80 ----------1
BALANCE MOMENT ABOUT POINT C
R A *2 - 20*2*1 = T*2- 20*2*1 OR R A = T -------------- 2
R A + R B + T= 20*4 = 80
D)

deflection at C = T*2/(EA)