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)

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)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.26P: The figure shows the FBD of a portion of the space truss shown in Fig. P5.25. Use this FBD to find...

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