Homework (lesson6)

Exercise 1

Determine the reactions of the fixed support of the L-shape structure drawn in
the figure
Solution: F

Ax

= 2i [N]; F

Ay

= 1.7j [N]; M

A

= -13.4k [Nm]

Exercise 2
Determine the reactions at the constrains C and D of system represented in the
picture knowing that the length of AB is 60 cm and the load weights 200 Kg.
Solution: F

A

= -822i + 334j [N]; F

D

= 1916i [N]

Exercise 3

Determine the reactions at the supports of the structure (AB = CB =
CD = 1m). Reduce the external loading to a force-couple system at A
and a force-couple system acting at B.
Solution: F

A

= F

D

= 2N; T

cable

= 2.8N.

Exercise 4

Neglecting the weight of the beam determine the range of values of F
for which the beam is in equilibrium
Solution: 1.25N ≤ F ≤ 13.85N

x

y

z