HW MI lesson6

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Homework (lesson6)
Exercise 1
Determine the reactions of the fixed support of the L-shape structure drawn in
the figure
Solution
:
F
A
x
= 2
i
[N];
F
A
y
= 1.7
j
[N];
M
A
= -13.4
k
[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
= -822
i
+ 334
j
[N];
F
D
= 1916
i
[N]
y
z
x
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
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