Explanation Given Information: The following line load is given, Calculation: Consider the above given figure: The line loadsare given by w O A = 6 − x 2 18150 lb/in . and w O B = 6 − y 40 lb/in . Calculate the resultant force of line load w O A = 6 − x 2 18150 lb/in . as F O A = ∫ 0 330 w O A d x F O A = ∫ 0 330 6 − x 2 18150 d x F O A = [ 6 x − x 3 3 × 18150 ] 0 330 F O A = 1320 lb . Calculate the resultant force of line load w O B = 6 − y 40 lb/in as F O B = ∫ 0 240 w O B d y F O B = ∫ 0 240 6 − y 40 d y F O B = [ 6 y − y 2 2 × 18150 ] 0 240 F O B = 720 lb . Calculate total resultant force as F = F O A + F O B = 1320 + 720 = 2040 lb . Calculate coordinates of location of line of action of resultant of line load, w O A = 6 − x 2 18150 lb/in as x ¯ O A = ∫ 0 330 x w o A d x ∫ 0 330 w o A d x = ∫ 0 330 x ( 6 − x 2 18150 ) d x ∫ 0 330 6 − x 2 18150 d x = 1

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN: 9781305501607

Author: Andrew Pytel And Jaan Kiusalaas

Publisher: CENGAGE L

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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 8, Problem 8.109P

To determine

Resultant force of line load.

The x- and y-coordinates of its line of action.

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Chapter 8, Problem 8.108P

Chapter 8, Problem 8.110P

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International Edition---engineering Mechanics: Statics, 4th Edition

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Resultant force of line load. The x- and y-coordinates of its line of action.

Solution Summary: The author calculates the resultant force of line load, based on the x- and y-coordinates of its line of action.