60° Determine the: a. X component of the resultant force b. Y component of the resultant force c. Magnitude of the resultant force 35° d. Direction of the resultant from 80 N the x-axis 100 N Note: Forces are all in Newtons

60° Determine the: a. X component of the resultant force b. Y component of the resultant force c. Magnitude of the resultant force 35° d. Direction of the resultant from 80 N the x-axis 100 N Note: Forces are all in Newtons

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

Question

How did the value of the y-component became positive on the solution of magnitude and angle when it was actually negative while solving for the y-component? (indicated by the red arrow)

60°
Determine the:
a. X component of the resultant force
b. Y component of the resultant force
3
c. Magnitude of the resultant force
35°
d. Direction of the resultant from
80 N
the x-axis
100 N
Note: Forces are all in Newtons

2y component of uoultant foluce
(41) fy =
-100 Sin 85°
80x 3
= -147-619 こ
y-component f Resultant fauce
5T9·上hT -
2.
%3D
V(55-284) + (147.619)
2.
= 157-682N
(magnitude
Resultant fasece = 157682)
%3D
O= tan-
Ifyl
%3D
147-619
- tan- (14
55.284
69.469°

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