Link BD consists of a single bar 30 mm wide and 12 mm thick. Knowing that each pin has a10 mm diameter, determine the maximum value of the average normal stress in the link BD if θ = 15 degrees.

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 Question

find the inductance per km of a three-phase transmission line using 0.2 cm diameter conductors when these are placed at the corners of an equilateral triangle of each side 1 m.

Solution

Step 1

Given Data:

D = distance between the condutor = 1m

Radius of the conductor r = 0.2 / 2 = 0.1 cm = 1 x 10^-3 m

 

Step 2

Effective radius r' = 0.7788 r  = 0.7788 x 1 x 10^-3  = 0.7788 x 10^-3  m

$$\begin{gathered} Induc\tan ce per phase = 2 x {10}^{-4} \ln \left(\frac{D}{r\text{'}}\right) H/km \\ = 2 x {10}^{-4} \ln \left(\frac{1}{0.7788 x {10}^{-3}}\right) \\ \mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{1}\mathbf{.}\mathbf{431}\mathbf{ }\mathit{x}\mathbf{ }{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{ }\mathit{H}\mathbf{/}\mathit{k}\mathit{m}\mathbf{ }\mathbf{ } \end{gathered}$$