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A single angle is connected by one leg only. If the area of outstanding leg is x, net area of connecting leg is y, and k is reduction factor whose value is less than 1, then the net effective area of angle in tension will be:
  • a)
    x + y
  • b)
    x + ky
  • c)
    y + kx
  • d)
    k(x + y)
Correct answer is option 'C'. Can you explain this answer?
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A single angle is connected by one leg only. If the area of outstandin...
Correct answer is C.
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A single angle is connected by one leg only. If the area of outstandin...
To understand why the correct answer is option 'C', let's break down the given information and the concept of reduction factor.

Given:
- A single angle is connected by one leg only.
- The area of the outstanding leg is x.
- The net area of the connecting leg is y.
- The reduction factor, k, is less than 1.

Definition of the reduction factor:
The reduction factor, denoted as k, is a value that represents the reduction in effective net area due to the presence of bolt holes or other discontinuities in a member. It is a measure of the reduction in strength of the member.

Explanation:
When an angle is connected by one leg only, it means that the other leg is not connected to anything. Therefore, the effective area of the angle in tension is determined by the outstanding leg and the connecting leg.

The net effective area of the angle in tension is given by the product of the area of the outstanding leg and the reduction factor. This can be expressed as:

Net Effective Area = x * k

Now, let's substitute the given values:

Net Effective Area = x * k

Therefore, the correct answer is option 'C': c) kx.

In summary, when a single angle is connected by one leg only, the net effective area of the angle in tension is given by the product of the area of the outstanding leg and the reduction factor.
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