Explanation Concept used: Write the expression for net force in x direction. ∑ F x = 0 i ^ kN Here, F x is net force in x direction. Write the expression for net force in y direction. ∑ F y = ( − 25 − 125 − 75 − 100 ) j ^ = − 325 j ^ kN Here, F y is net force in y direction. Write the expression for net force in z direction. ∑ F z = 0 k ^ = 0 k ^ kN Here, F z is net force in z direction. Write the expression for resultant force in vector form. R = ∑ F x + ∑ F y + ∑ F z Here, R is the resultant force. Write the expression for magnitude of resultant force. | R | = ( ∑ F x ) 2 + ( ∑ F y ) 2 + ( ∑ F z ) 2 ....... (1) Write the expression for moment about O. M O = M x + M y + M z ....... (2) Here, M O is the moment about point O. Write the expression for moment of resultant force. M O = ( z k ^ × 325 j ^ ) − ( 0 j ^ × 325 j ^ ) − ( x i ^ × 325 j ^ ) = ( 325z i ^ − 325 x k ^ ) kN ⋅ m Write the expression for moment about x . M x = ( 4 j ^ × 75 k ^ ) − ( 4 j ^ × 1 2 5 k ^ ) = − 200 i ^ kN ⋅ m Here, M x is moment about x axis. Write the expression for moment about y as, M y = 0 j ^ kN ⋅ m Here, M y is moment about y axis

2nd Edition

ISBN: 9780073398167

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek

Publisher: McGraw-Hill Education

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Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works …

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Chapter 3.4, Problem 94P

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The magnitude and the point of application of the resultant of the four loads.

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Chapter 3.4, Problem 93P

Chapter 3.4, Problem 95P

Chapter 3 Solutions

Statics and Mechanics of Materials

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The magnitude and the point of application of the resultant of the four loads.

Solution Summary: The author explains the magnitude and point of application of the resultant of four loads. Write the expression for net force in x direction.

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The magnitude and the point of application of the resultant of the four loads.

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Chapter 3 Solutions