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Strength Of Materials Miscellaneous

Strength Of Materials

  1. Below figure shows a rigid bar hinged at A and supported in a horizontal position by two vertical identical steel wires. Neglect the weight of the beam. The tension T1 and T2 induced in these wires by a vertical load P applied as shown are
    1. T1 = T2 =
      P
      2
    2. T1 =
      Pal
      , T2 =
      Pbl
      (a² + b²)(a² + b²)
    3. T1 =
      Pbl
      , T2 =
      Pal
      (a² + b²)(a² + b²)
    4. T1 =
      Pal
      , T2 =
      Pal
      2(a² + b²)2(a² + b²)
Correct Option: B



Σy = O
T1 + T2 – P – RA = O –(i)
ΣMA = O
T1 (a) + T2 (b) = P (l) –(ii)
Using similar Δ’s in fig (2)

Δl1
=
Δl2
Δl1 =
T1L
Δl2 =
T2L
abAEAE

T1
=
T2
ab

Putting above eqn in eqn (ii)
T1(a) +
b2
T1 = P(l)
a

T1 =
Pal
T2 =
Pbl
(a² + b²)(a² + b²)



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