Governing differential equation

Computation of slope and deflection of a beam using the governing differential equation requires knowledge of the beam's __________.

• a. material properties
• b. length
• c. width
• d. all of the above

Which of the following is the governing differential equation for the deflection of a beam?

• a. Euler's equation
• b. Poisson's equation
• c. Navier-Stokes equation
• d. Bernoulli's equation

Which of the following is the second order differential equation that governs the deflection of a beam?

• a. y'' = M(x)/EI
• b. y' = M(x)/EI
• c. y'' = V(x)/EI
• d. y' = V(x)/EI

Which method is used to solve the governing differential equation for deflection of beams with variable load?

• a. Double integration method
• b. Macaulay's method
• c. Conjugate beam method
• d. Moment area method

What is the order of the governing differential equation used to compute the deflection of a beam using the moment area method?

• a. first order
• b. second order
• c. third order
• d. fourth order