What is the length of the other side of a rectangular strut if a compressive load of 219 kN produces a stress of 164,909 kPa and one side measures 83 mm?

To find the length of the other side of the rectangular strut under a compressive load, pressure or stress, and one dimension of the strut are known.

Stress is defined as the force applied divided by the area over which it is applied. In this case, the compressive load is 219 kN, which needs to be converted to Newtons (1 kN = 1000 N), giving us a force of 219,000 N. The stress is given as 164,909 kPa, which also needs conversion to Pascals (1 kPa = 1,000 Pa), resulting in 164,909,000 Pa.

Using the stress formula:

[ \text{Stress} = \frac{\text{Force}}{\text{Area}} ]

Rearranging for area gives:

[ \text{Area} = \frac{\text{Force}}{\text{Stress}} ]

Plugging in the values:

[ \text{Area} = \frac{219000 , \text{N}}{164909000 , \text{Pa}} \approx 0.001327 , \text{m}^2 ]

Now, we know one side of the