A stairwell is supported by two circular steel rods at one end. The other end supported above. The two steel rods are subjected to a total load of 12,800lbs. The rods are 24 ft long and E=30*10^6 psi. Select the rod based on the following specs. The rod deformation should not exceed 0.375 inches and the allowable tensile stress is 10,844 psi?
I calculated reqd diameter of sqrt 1.64in^2/0.7854 = 1.45in diameter with choice of 2inch rod. Am I going right or do I need to recheck
To check if your calculation is correct, let's go through the steps:
1. Determine the required diameter of the rod based on the given specifications.
- You correctly calculated using the formula: reqd diameter = √(1.64in^2/0.7854) = 1.45 inches.
2. Compare the required diameter to the available rod sizes.
- You mentioned that the available choice is a 2-inch rod.
Since the required diameter (1.45 inches) is smaller than the available size (2 inches), it means that the 2-inch rod is more than capable of meeting the specifications. Therefore, you do not need to recheck your calculation.
Please note that in practical engineering scenarios, it is often good practice to choose the next available standard rod size larger than the calculated requirement to provide a safety margin. So, the 2-inch rod would be a suitable choice in this case.