Problem 3: 3D load reduction A combination of forces f1, f2, f3 (with magnitudes f, f2, f3, respectively) act on a plate as shown in the following figure below on the left. Az f1 feff .... L/2 ... *...... Xeff y L/2 Yeff **..... **...... W f3 (a) Find the effective force feff and the effective moment generated by the forces about the origin. (b) The three forces f1, f2, f3 are replaced with the single effective force feff that acts at a point (Xeff, Yeff) on the plate. Find Xeff, Yeff in terms of fi, f2, f3, L, W so that the moment generated about the origin by feff is the same as the moment generated by f, f,, fz as calculated in the previous part. (c) Evaluate Xeff, Yeff for L= 4m, W= 2m, f= 2N, f2= 5N, f3= 5N. (Answer: Xef= 2m, Yeff= 2.5m)

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Solve all the three parts

Problem 3: 3D load reduction
A combination of forces f1, f2, f3 (with magnitudes f, f2, f3, respectively) act on a plate as shown in the following
figure below on the left.
Az
f1
feff
....
L/2
...
*......
Xeff
y
L/2
Yeff
**.....
**......
W
f3
(a)
Find the effective force feff and the effective moment generated by the forces about the origin.
(b)
The three forces f1, f2, f3 are replaced with the single effective force feff that acts at a point (Xeff, Yeff) on
the plate. Find Xeff, Yeff in terms of fi, f2, f3, L, W so that the moment generated about the origin by feff is
the same as the moment generated by f, f,, fz as calculated in the previous part.
(c)
Evaluate Xeff, Yeff for L= 4m, W= 2m, f= 2N, f2= 5N, f3= 5N. (Answer: Xef= 2m, Yeff= 2.5m)
Transcribed Image Text:Problem 3: 3D load reduction A combination of forces f1, f2, f3 (with magnitudes f, f2, f3, respectively) act on a plate as shown in the following figure below on the left. Az f1 feff .... L/2 ... *...... Xeff y L/2 Yeff **..... **...... W f3 (a) Find the effective force feff and the effective moment generated by the forces about the origin. (b) The three forces f1, f2, f3 are replaced with the single effective force feff that acts at a point (Xeff, Yeff) on the plate. Find Xeff, Yeff in terms of fi, f2, f3, L, W so that the moment generated about the origin by feff is the same as the moment generated by f, f,, fz as calculated in the previous part. (c) Evaluate Xeff, Yeff for L= 4m, W= 2m, f= 2N, f2= 5N, f3= 5N. (Answer: Xef= 2m, Yeff= 2.5m)
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