A bar having a square cross section of 30 mm by 30 mm is 2 m long and is held upward. If it has a mass of 5 kg/m, determine the largest angle θ, measured from the vertical, at which it can be supported before it is subjected to a tensile stress along its axis near the grip.
Step 11 of 7
We have the following data:
An inclined bar with angle with respect to the y-axis
Cross-section of the bar Dimensions: 30 mm 30 mm Length of the bar = 2 m Mass per unit length = 5
Required: Largest angle without developing any tensile stress
Step 11 of 3
First, it is convenient to draw a free body diagram of the bar in order to obtain the reactions at the grip: , and , in terms of the angle . Since the system is static, we can use equilibrium equations.
Step 11 of 6
- - square cross section
- - length of the bar
- - mass per unit length
- - angle