888ExampleIf F=5 kN and = 30, determine the magnitude ofthe resultant force and its direction, measured counter-clockwise from the positive x axisN19SOLUTIONScalar Notation. Summing the force components along x and y axes algebraicallyby referring to Fig. a.(FR),= XF,: (FR), = 5 sin 30 + 64 sin 15= 7.465 kN+1(FR), = EF: (Fr), = 4 cos 15 + 5 cos 30 = 8.194 kN 1By referring to Fig. b, the magnitude of the resultant force isV7.4652 + 8.194 = 11.08 kN = 11.1 kN Ans.+ A =And its directional angle e mcasured counterclockwise from the positiveSI SIXE X8.19403 tan= tan= 47.67° = 47.7°Ans.7.465Example Determine the x and y components of each forceacting on the gusset plate of a bridge truss. Show that theresultant force is zero.F=6 kNF=8 kNF= 4 kNNY9 =

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Answered: 888 Ans. (7.465/ Example Determine the…

888 Ans. (7.465/ Example Determine the x and v components of cach force acting on the gusset plate of a bridge truss. Show that the resultant force is zero. F-6 kN F=8 kN F 6 kN F=4 kN 888

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

888
Example
If F=5 kN and = 30, determine the magnitude of
the resultant force and its direction, measured counter-
clockwise from the positive x axis
N19
SOLUTION
Scalar Notation. Summing the force components along x and y axes algebraically
by referring to Fig. a.
(FR),= XF,: (FR), = 5 sin 30 + 6
4 sin 15= 7.465 kN
+1(FR), = EF: (Fr), = 4 cos 15 + 5 cos 30 = 8.194 kN 1
By referring to Fig. b, the magnitude of the resultant force is
V7.4652 + 8.194 = 11.08 kN = 11.1 kN Ans.
+ A =
And its directional angle e mcasured counterclockwise from the positive
SI SIXE X
8.194
03 tan
= tan
= 47.67° = 47.7°
Ans.
7.465
Example Determine the x and y components of each force
acting on the gusset plate of a bridge truss. Show that the
resultant force is zero.
F=6 kN
F=8 kN
F= 4 kN
NY9 =

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