Question

Which is the CORRECT reason for the 5%-10% of error in Euler's crippling load, when estimated theoretically?

• A. Effect of direct stress is neglected
• B. Presence of friction in pin joints
• C. The assumptions made are not met in real life conditions
• D. Material does not behave as an ideal elastically

Answer 1

Answer:

C. The assumptions made are not met in real life conditions

The 5%-10% error in Euler's crippling load is due to the fact that the assumptions made in the theory are not met in real-life conditions. The formula for Euler's crippling load is $P_{cr} = \frac{\pi^ 2 EI}{L_e ^ 2}$where E is the modulus of elasticity, I is the area moment of inertia, and Le is the length of the column.