Given: A 2-D force and couple system as shown. Find: The equivalent resultant force and couple moment acting at A and then the equivalent single force location along the beam AB. Plan: 1) Sum all the x and y components of the forces to find F RA. 2) Find and sum all the moments resulting from moving each force to A. 3) Shift the F
couple system at A, (b) an equivalent force couple system at B, and (c) a single force or resultant Solution: a)Compute the resultant force for the forces shown and the resultant couple for the moments of the forces about A. b)Find an equivalent force-couple system at B based on the force-couple system at A. c)Determine the point of application ...

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Replace the loading below by an equivalent force and couple moment acting at point O. The Wall AD has forces acting upon it on both sides from the water and the soil. If A is a pin joint with the ground, determine its reaction forces and the tension in cable BC required for equilibrium.
Thus the given system is equivalent to downward force of 50 kN at point A and clockwise couple of 220 kN·m. The couple is represented by 110 kN horizontal forces at B and C. The force at B is to the right and the force at C is to the left, producing the clockwise couple.

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The lift force acting on a rocket in flight is usually pretty small. The other three forces, however, all directly impact the maximum height the rocket can reach. Weight is a function of how each component of the rocket is designed. The lighter the rocket is, the higher it will be able to go all else being equal. Thrust is generated by the ...
Replace the force at A by an equivalent force and couple moment at P. Express the results on Cartesian vector form. F = (-50i+20j+30k) N, M = (50i-130j+170k) N-m F = (-50i+20j+30k) N, M = (-50i+60j+60k) N-m

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A system of forces may be replaced by a collection of force-couple systems acting a given point O The force and couple vectors may be combined into a resultant force vector and a resultant couple vector, The force-couple system at O may be moved to O’ with the addition of the moment of R about O’ , Two systems of forces are equivalent if they can be reduced to the same force-couple system.
When the beam is subjected to an eccentric loads, the eccentric load are to be changed into a couple/ force as the case may be, In the illustrative example given below, the 20 kN load acting at a distance of 0.2m may be converted to an equivalent of 20 kN force and a couple of 2 kN.m. similarly a 10 kN force which is acting at an angle of 30 0 ...

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6) Replace the force system acting on the beam in Figure 4 by: (a) an equivalent force and couple moment at point O, and (b) an equivalent force distance to the right of O. Sketch your equivalent system on the right side of Figure 4. 14 N C 95) -h -15 0.9) + 5-3 q
16. A rectangular plate is acted upon by the force and couple shown. This system is to be replaced with a single equivalent force. For α = 40°, the magnitude of moment of force about point D is (in N-m). (a) (b) (c) (d) 17. A 4.80-m-long beam is subjected to the forces shown. The equivalent force-couple system at point A will be

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given system of forces with a simpler equivalent system. • moment of a force about a point 3 - 1 • moment of a force about an axis • moment due to a couple • Any system of forces acting on a rigid body can be replaced by an equivalent system consisting of one force acting at a given point and one couple.
Replace the force system acting on the beam by an equivalent force and couple moment at point B. 25kN 1SkN Replace the force system acting on the beam by an equivalent force and couple moment at point A. 1501b 1501b Determine the required magnitude of force F if the resultant couple moment on the frame is 2001b. ft, clockwise.

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6) Replace the force system acting on the beam in Figure 4 by: (a) an equivalent force and couple moment at point O, and (b) an equivalent force distance to the right of O. Sketch your equivalent system on the right side of Figure 4. 14 N C 95) -h -15 0.9) + 5-3 q
Question: Replace The Force System Acting On The Frame By An Equivalent Resultant Force And Couple Moment Acting At Point A. 180 N 100 N 1.5 M 04m+ 09m 200 N 0.6 M

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Question: Replace The Force System Acting On The Frame By An Equivalent Resultant Force And Couple Moment Acting At Point A. 180 N 100 N 1.5 M 04m+ 09m 200 N 0.6 M
Replace the two forces and the moment acting on the beam with a single force F. (Draw a representative but complete FBD. Don't include a value for F yet.) Part B (10 points) Determine F such that it replaces only the forces acting on the beam. 70 Part C (10 points) Determine where the line of action of F intersects the x axis so that it replaces the two forces and the moment on the beam.

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3 Equivalent Systems Wednesday, September 26, 2012 Replace the loading system by an equivalent resultant force and couple moment acting at A. Problem 4-29 4 Equivalent Systems Wednesday, September 26, 2012 Replace the loading system by an equivalent resultant force and couple moment acting at point O.
forces and one couple acting on the I-beam. 25 kN.m Problem 2/76 77 If the resultant of the two forces and couple M passes point O, determine M. 160 Ans. M = 148.0 CCW 600 300 320 N 400 N Problem 2/77 (b) Problem 2/74 (C) (a) 2/75 Determine the equivalent force—couple system at the origin O for each of the three cases of forces being

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Question: Replace The Force System Acting On The Frame By An Equivalent Resultant Force And Couple Moment Acting At Point A. 180 N 100 N 1.5 M 04m+ 09m 200 N 0.6 M
c. Parallel forces with couples perpendicular to the forces . In the most general case of a system with forces and couples, the force system can. always be reduced to a “screwdriver” – a single force and couple. Think of an actual . screwdriver where you apply both a torque and a thrust force to secure a screw.
Sep 22, 2012 · Hey everyone, So I'm having a bit of trouble with a statics problem as I'm not sure how to approach it; a walk-through would be greatly appreciated. >Replace the force system acting on the frame by a resultant force and couple moment at point A.
Replace the force at A by an equivalent force and couple moment at P. 28 . This structural connection is subjected to the 8,000-lb force. Replace this force by an equivalent force and couple acting at the center of the bolt group, O. 29 . Replace the force and couple system by an equivalent single force and couple acting at point P. 30 .
2. The line of action of the distributed load’s equivalent force passes through the _____ of the distributed load. A) Centroid B) Mid-point C) Left edge D) Right edge 1. The resultant force (FR) due to a distributed load is equivalent to the _____ under the distributed loading curve, w = w(x). A) Centroid B) Arc length C) Area D) Volume x w FR

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