What is the order of the stiffness matrix for a beam element with two degrees of freedom at each end?

4 x 4

Riddle: I define the relationship between applied force and displacement in a beam, with units of stiffness. What am I?

Stiffness matrix

True or False: The global stiffness matrix for a continuous beam can be obtained by directly adding the stiffness matrices of individual beam elements.

False. The global stiffness matrix is formed by assembling the member stiffness matrices, not by direct addition.

The formula for the load-displacement relationship in a beam is expressed as {P} = ______.

[K]{u}

Which of the following is a method to consider the effects of support settlements in beam analysis? A) Direct integration B) Superposition C) Finite difference D) Euler-Bernoulli

B) Superposition

What is the primary purpose of a stiffness matrix in beam analysis?

To relate the forces exerted on the beam to the displacements at its ends.

Fill in the blanks: The degrees of freedom at each node of a beam element typically include vertical displacement and ______.

Rotation

True or False: The moment of inertia about the z' axis is irrelevant in forming the stiffness matrix for a beam element.

False. The moment of inertia is a crucial parameter in the stiffness matrix formulation.

Riddle: I am the measure of a material's resistance to bending, directly influencing the stiffness of a beam. What am I?

Moment of inertia

What is the effect of temperature changes on statically indeterminate beams?

They induce fixed end moments in the beam.