# non-parallel forces

## Problem 355 | Equilibrium of Non-Concurrent Force System

**Problem 355**

Determine the reactions at A and B on the Fink truss shown in Fig. P-355. Members CD and FG are respectively perpendicular to AE and BE at their midpoints.

## Problem 354 | Equilibrium of Non-Concurrent Force System

**Problem 354**

Compute the total reactions at A and B on the truss shown in Fig. P-354.

## Problem 352 | Equilibrium of Non-Concurrent Force System

**Problem 352**

A pulley 4 ft in diameter and supporting a load 200 lb is mounted at B on a horizontal beam as shown in Fig. P-352. The beam is supported by a hinge at A and rollers at C. Neglecting the weight of the beam, determine the reactions at A and C.

## Problem 350 | Equilibrium of Non-Concurrent Force System

**Problem 350**

Compute the total reactions at A and B for the truss shown in Fig. P-350.

## Problem 349 | Equilibrium of Non-Concurrent Force System

**Problem 349**

The truss shown in Fig. P-349 is supported on roller at A and hinge at B. Solve for the components of the reactions.

## Problem 348 | Equilibrium of Non-Concurrent Force System

**Problem 348**

The frame shown in Fig. P-348 is supported in pivots at A and B. Each member weighs 5 kN/m. Compute the horizontal reaction at A and the horizontal and vertical components of the reaction at B.

## Problem 347 | Equilibrium of Non-Concurrent Force System

**Problem 347**

Repeat Problem 346 if the cable pulls the boom AB into a position at which it is inclined at 30° above the horizontal. The loads remain vertical.

## Problem 346 | Equilibrium of Non-Concurrent Force System

**Problem 346**

A boom AB is supported in a horizontal position by a hinge A and a cable which runs from C over a small pulley at D as shown in Fig. P-346. Compute the tension T in the cable and the horizontal and vertical components of the reaction at A. Neglect the size of the pulley at D.

## Equilibrium of Non-Concurrent Force System

There are three equilibrium conditions that can be used for non-concurrent, non-parallel force system.

The sum of all forces in the x-direction or horizontal is zero.

## Resultant of Non-Concurrent Force System

The resultant of non-concurrent force system is defined according to magnitude, inclination, and position.

The magnitude of the resultant can be found as follows

$R_y = \Sigma F_y$

$R = \sqrt{{R_x}^2 + {R_y}^2}$