6. Elastic Displacements

6.8 Suggested Problems

Problem 6-1

Determine the vertical displacement of point a due to the temperature change. Assume a coefficient of thermal expansion of $8\times10^{-6}/{}^{\circ}C$.

Figure

(Partial Solution for 6-1)

Problem 6-2

Determine both the horizontal displacement and the rotation of end b due to the single 200kN applied load.

Figure

Problem 6-3

Determine the vertical displacement of joint a due to the 48kN applied load.

Figure

(Partial Solution for 6-3)

Problem 6-4

In the following truss:

  1. Determine the horizontal displacement of the right support, $\Delta_R$, due to the applied load.

  2. Determine the horizontal force, $H_R$, necessary to produce an equal displacement of the right joint in the opposite direction.

  3. Determine all of the forces and reactions.

Figure

Problem 6-5

In the following frame, determine:

  1. the horizontal displacement of member end d.
  2. the rotation of member end d.

Figure

(Notebook Solution)

Problem 6-6

In the following structure determine:

  1. the vertical displacement of point e.
  2. the vertical displacement of point c.
  3. the rotation of joint b.
  4. the relative rotation between member ends cb and cd at joint c.

Figure

(Solution for 6-6)

(Notebook Solution)

Problem 6-7

In the following structure determine:

  1. the vertical displacement of point e.
  2. the vertical displacement of point c.
  3. the rotation of joint b.
  4. the relative rotation between member ends cb and cd at joint c.

Figure

(Solution for 6-7)