resultant

Problem 604 | Resultant of Concurrent Forces in Space

Problem 604
604-resultant-3d-forces.gifDetermine the magnitude of the resultant, its pointing, and its direction cosines for the following system of non-coplanar concurrent forces. 200 lb (4, 5, –3); 400 lb (–6, 4, –5); 300 lb, (4, –2, –3).
 

Problem 603 | Resultant of Concurrent Forces in Space

Problem 603
603-resultant-3d-forces.gifDetermine the magnitude of the resultant, its pointing, and its direction cosines for the following system of non-coplanar concurrent forces. 100 lb (2, 3, 4); 300 lb (–3, –4, 5); 200 lb, (0, 0, 4).
 

Problem 602 | Resultant of Concurrent Forces in Space

Problem 602
Determine the magnitude of the resultant, its pointing and its direction cosines for the following system of non-coplanar, concurrent forces. 300 lb (+3, -4, +6); 400 lb (-2, +4, -5); 200 lb (-4, +5, -3).
 

602-resultant-3d-forces.gif

 

Problem 322 | Equilibrium of Force System

Problem 322
The Fink truss shown in Fig. P-322 is supported by a roller at A and a hinge at B. The given loads are normal to the inclined member. Determine the reactions at A and B. Hint: Replace the loads by their resultant.
 

Fink truss with windloads

 

Problem 271 | Resultant of Non-Concurrent Force System

Problem 271
The three forces in Fig. P-270 create a vertical resultant acting through point A. If T is known to be 361 lb, compute the values of F and P.
 

270-271-forces-in-xy-space.gif

 

Problem 270 | Resultant of Non-Concurrent Force System

Problem 270
The three forces shown in Fig. P-270 are required to cause a horizontal resultant acting through point A. If F = 316 lb, determine the values of P and T. Hint: Apply MR = ΣMB to determine R, then MR = ΣMC to find P, and finally MR = ΣMD or Ry = ΣY to compute T.
 

270-271-forces-in-xy-space.gif

 

Problem 269 | Resultant of Non-Concurrent Force System

Problem 269
Repeat Prob. 268 is the resultant is 390 lb directed down to the right at a slope of 5 to 12 passing through point A. Also determine the x and y intercepts of the missing force F.
 

Problem 268 | Resultant of Non-Concurrent Force System

Problem 268
The resultant of four forces, of which three are shown in Fig. P-268, is a couple of 480 lb·ft clockwise in sense. If each square is 1 ft on a side, determine the fourth force completely.
 

Three forces in Planar Space

 

Problem 267 | Resultant of Non-Concurrent Force System

Problem 267
The Howe roof truss shown in Fig. P-267 carries the given loads. The wind loads are perpendicular to the inclined members. Determine the magnitude of the resultant, its inclination with the horizontal, and where it intersects AB.
 

Howe roof truss

 

Problem 266 | Resultant of Non-Concurrent Force System

Problem 266
Determine the resultant of the three forces acting on the dam shown in Fig. P-266 and locate its intersection with the base AB. For good design, this intersection should occur within the middle third of the base. Does it?
 

Gravity Dam

 

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