3D Force Couple System and Resultant. Q.No.1: Replace the force system by an equivalent force and couple moment at point A.

Transcription

1 3D Force Couple System and Resultant Q.No.1: Replace the force system by an equivalent force and couple moment at point A. Q.No.2: Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point O. Express the results in Cartesian vector from.

2 Q.No.3 Replace the loading system by an equivalent resultant force and couple moment acting at point O. Q.No.4: The horizontal top of a concrete column is subjected to the system of forces shown. Represent the resultant of all forces as a force R at point O and a couple M. Also specify the magnitudes of R and M.

3 Q.No.5: The structure supports vertical forces F = 200 lb and P = 50 lb. Pipe segments BC and CD are parallel to the y and x axes, respectively. Determine the resultant moment of both forces about point O. Q.No.6: The turnbuckle is tightened until the tension in cable AB is 2.4 kn. Determine the moment about point O of the cable force acting on point A and the magnitude of this moment.

4 Q.No.7: Replace the loading system by an equivalent resultant force and couple moment acting at point O. Q.No.8: Replace the two wrenches and the force, acting on the pipe assembly, by an equivalent resultant force and couple moment at point O.

5 Q.No.9: Replace the two forces acting on the post by a resultant force and couple moment at point O. Express the results in Cartesian vector form. Q.No.10: The structural member is subjected to a couple moment M and forces F1 and F2 in Fig. Replace this system by an equivalent resultant force and couple moment acting at its base, point O.

6 Q.No.11: Calculate the combined moment of the couple C and the force P about the axis AB. Use C =80 N m and P =400 N. Q.No.12: Replace the force and the couple shown with an equivalent force-couple system where the force acts at A. Q.No.13: Two cable tensions and a couple act on the rod OAB. Determine the equivalent force-couple system with the force acting at O.

7 Q.No.14: Replace the two forces and one couple acting on the rigid pipe frame by their equivalent resultant force R acting at point O and a couple Mo Q.No.15: Replace the two forces and a couple acting on the bent rod ABC with an 100 N equivalent forcecouple system with the force acting at C. Q.No.16: Suppose that the tension in cable AB is 4 kn, and you want to adjust the tensions in cables AC and AD so that the sum of the moments about the origin O due to the forces exerted by the cables at point A is zero. Determine the tensions

8 Q.No.17: The force system consists of the force P= 300i + 200j + 150k N and the couple C. Determine the magnitude of C if the moment of this force system about the axis DE is 800 N m. Q.No.18: The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M.

9 Q.No.19: A section of a piping system is acted on by the three couples shown in Fig. Determine the magnitude of the resultant couple-vector C R and its direction cosines, given that the magnitudes of the applied couples are C1 =50 N m, C2 =90 N m, and C3 =140 N m. Q.No.20: The right-angle pipe OAB of Prob. 2/111 is shown again here. Replace the 750-N tensile force which the cable exerts on point B by a force couple system at point O.

10 Q.No.21: Replace the two forces and the negative wrench by a single force R applied at A and the corresponding couple M. Q.No.22:The concrete slab supports the six vertical loads shown. Determine the x- and y-coordinates of the point on the slab through which the resultant of the loading system passes.

11 Q.No.22:The thin rectangular plate is subjected to the four forces shown. Determine the equivalent force couple system at O. Q.No.23:Determine the force couple system at O which is equivalent to the two forces applied to the shaft AOB. Is R perpendicular to Mo?

12 Q.No.24: Replace the two forces and single couple by an equivalent force couple system at point A. Q.No.25: Replace the two forces and single couple by an equivalent force couple system at point O.

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