Explanation Refer to Table A-9 “Shear, Moment and Deflection of Beams” for a uniform-cross-section beam with simple supports at the ends. Write the expression for deflection for simple supports-intermediate load. ( y A B ) = F b x 6 E I l ( x 2 + b 2 − l 2 ) (I) Here, the deflection is ( y A B ) , the distance from left end is x , length of the beam is l , modulus of elasticity is E , distance of point load from right end is b and the area moment of inertia is I Differentiate Equation (I). d ( y A B ) d x = d d x [ F b x 6 E I l ( x 2 + b 2 − l 2 ) ] = F b ( x 2 + b 2 − l 2 ) 6 E I l + F b x 6 E I l ( 2 x ) = F b 6 E I l ( 3 x 2 + b 2 − l 2 ) (II) Write the expression for the minimum value of x

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

10th Edition

ISBN: 9780073398204

Author: Richard G Budynas, Keith J Nisbett

Publisher: McGraw-Hill Education

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Chapter 4, Problem 55P

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Whether the maximum deflection for a uniform-cross-section beam with simple supports at the ends lies in the range of 0.423l≤x≤0.577l.

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Chapter 4, Problem 54P

Chapter 4, Problem 56P

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Chapter 4 Solutions

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

Ch. 4 - The figure shows a torsion bar OA fixed at O,...Ch. 4 - For Prob. 41, if the simple support at point A...Ch. 4 - A torsion-bar spring consists of a prismatic bar,...Ch. 4 - An engineer is forced by geometric considerations...Ch. 4 - A bar in tension has a circular cross section and...Ch. 4 - Prob. 6P Ch. 4 - Prob. 7P Ch. 4 - Derive the equations given for beam 2 in Table A9...Ch. 4 - Derive the equations given for beam 5 in Table A9...Ch. 4 - The figure shows a cantilever consisting of steel...

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Whether the maximum deflection for a uniform-cross-section beam with simple supports at the ends lies in the range of 0.423 l ≤ x ≤ 0.577 l .

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Whether the maximum deflection for a uniform-cross-section beam with simple supports at the ends lies in the range of 0.423l≤x≤0.577l.

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