(a) Explanation Refer question 3.116P and figure P3.116. It is given that force P = 60 N . Refer Fig P3.116. Equivalent vector diagrams are given below. Write the expression to calculate x-component of net force. R x = F E cos θ e − F D cos θ d + P (I) Here, R x is the x-component of net force, F E is ta force at point E, θ e is the angle made by F E with horizontal, F D is the force at point D, and θ d is the angle made by F D . Write the expression to calculate y-component of net force. R y = − F E sin θ e − F D sin θ d − F C (II) Here, F C is the force at point C. Write the formula to calculate the net moment of couple about point G. M G = l h e F E cos θ e + l v e F E sin θ e + l h d F D cos θ d − l v d F D sin θ d − l p P − l c F C + M F + M H (III) Here, M G is the net moment of couple about point G, l h e is the moment arm of horizontal component of force F E , l v e is the moment arm of vertical component of F E , l h d is the moment arm of horizontal component of F D , l v d is the moment arm of vertical component of F D , l p is the moment arm of force P , F C is the force applied at point C, l c is the moment arm of force F C , M F is the couple about point F, and M H is the couple about point H. Write the expression to calculate the distance from point G to rivet hole on line GH. b = M G R x (IV) Here, b is the distance from point G to rivet hole on line GH. Conclusion: Substitute 200 N for F E , 15 ° for θ e , 120 N for F D , 70 ° for θ d and 60 N for P in equation (I) to find R x . R x = ( 200 N ) ( cos 15 ° ) − ( 120 N ) ( cos 70 ° ) + 60 N = 212.14 N Substitute 200 N for F E , 15 ° for θ e , 120 N for F D , 70 ° for θ d and 80 N for F C in equation (II) to find R x . R y = − ( 200 N ) ( sin 15 ° ) − ( 120 N ) ( sin 70 ° ) − 80 N = − 244 (b) To determine Position of rivet hole on line GH given in 3.116P with P = 60 N .

VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

12th Edition

ISBN: 9781260916942

Author: BEER

Publisher: MCG

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Chapter 3.4, Problem 3.117P

(a)

To determine

Position of rivet hole on line FG given in 3.116P with P=60 N.

(b)

To determine

Position of rivet hole on line GH given in 3.116P with P=60 N.

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Chapter 3.4, Problem 3.116P

Chapter 3.4, Problem 3.118P

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Chapter 3 Solutions

VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

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Position of rivet hole on line FG given in 3.116P with P = 60 N .

Solution Summary: The author explains how to calculate the x-component of net force.