Elastic curve

What is the governing differential equation for the elastic curve of beams?

• d^2y/dx^2 = -M(x)/EI
• d^3y/dx^3 = -M(x)/EI
• d^4y/dx^4 = -M(x)/EI
• d^2y/dx^2 = M(x)/EI

Which method of computation of slope and deflection is suitable for non-uniformly distributed loads?

• Double integration method
• Macaulay's method
• Area moment method
• Conjugate beam method

A beam is subjected to a uniformly distributed load of 10 kN/m over a length of 5 m. Determine the slope at the midspan

• 0.01 rad
• 0.1 rad
• 1 rad
• 10 rad

Which method of computation of slope and deflection is preferred for a determinate beam with known load distribution?

• Conjugate beam method
• Double integration method
• Macaulay's method
• Area moment method

A beam is subjected to a uniformly distributed load of 20 kN/m over a length of 4 m. Determine the deflection at the free end using area moment method.

• δ = 320/(EI)
• δ = 640/(EI)
• δ = 1280/(EI)
• δ = 2560/(EI)