# resultant

## 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.

## 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.

## 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 M_{R} = ΣM_{B} to determine R, then M_{R} = ΣM_{C} to find P, and finally M_{R} = ΣM_{D} or R_{y} = ΣY to compute T.

## 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.

## 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.

## 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?