Two structural members A and B are bolted to a bracket as shown. Knowing that both members are in compression and that the force is 15 kN in member A and 10 kN in member B, determine by trigonometry the magnitude and direction of the resultant of the forces applied to the bracket by members A and B.
The magnitude and direction of the of the resultant of the forces applied to the bracket by members
Answer to Problem 104RP
The magnitude of the resultant force applied to the bracket by members
The resultant force vector will be at an angle of
Explanation of Solution
Given information:
The force in member
The given figure below shows the force diagram.
Figure-(1)
Write angle between the given forces.
Write the expression for law of cosines.
Write the expression for sine law.
Here, angle made by the resultant with vertical is
Write the expression for the angle made by the resultant with the horizontal.
Calculation:
Substitute the value
Substitute the value
Substitute the value
Conclusion:
The magnitude of the resultant of the forces applied to the brackets is
The resultant force vector will be at an angle of
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Chapter 2 Solutions
Statics and Mechanics of Materials
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L