The diagram represents a steel tube with wall thickness w which is small in comparison with the diameter of the tube. The tube is under tension, caused by a force T, parallel to the axis of the tube. To reduce the stress in the material of the tube, it is proposed to thicken the wall. The tube diameter and the tension being constant, which wall thickness gives half the stress?
stress = Force / Area
The Attempt at a Solution
(The answer to this question is 2w)
From formula stress = force / area, to halve the stress we have to double the area. But I don't really understand the effect of changing the thickness.
If we double the thickness, will the diameter change? In my opinion the diameter won't change because the wall thickness w is small in comparison with the diameter so changing the thickness won't change the stress