Question

an elastic wire is cut to half it's original length. how would it affect thee maximum load that thee wire can support

Answer 1

When a wire is loaded with a weight more than its elastic limit, the strain on the wire increases very fast. When the stress reaches the peak value, it is called breaking stress. The force that causes the wire to break is called breaking force.

The breaking force is directly proportional to the cross-sectional area of the wire and not its length. Similarly, breaking stress is dependent only on the material of the wire and not its size.

Thus, when an elastic wire is cut into half, there is no effect on the maximum load it can support.

Answer 2

The simplest answer is that "there will be no effect on the maximum load.

When stress is applied to a wire beyond it's elastic limit this tend to break as the result of increasing strain on the wire. The force at this point applied are normally known as the break force which can bring fracture to a body.This force don't depends on the length just depends on the cross sectional area of the wire.The stress applied that cause breakage at this point also don't depend on the size instead depends on the material which the wire is made of.
In short the strain only depends force and unit area so whether or not the length change it does does not effect the maximum load.