Hibbeler chapter 10 PDF

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Engineering Mechanics - Statics

Chapter 10

Problem 10-1 Determine the moment of inertia for the shaded area about the x axis. Given: a = 2m b = 4m

b

Solution:

⌠ y 2 Ix = 2 ⎮ y a 1 − d y ⎮ b ⌡

Ix = 39.0 m

4

0

Problem 10-2 Determine the moment of inertia for the shaded area about the y axis. Given: a = 2m b = 4m

a

Solution:

⌠ 2 ⎮ 2 ⎡ ⎛x ⎤ Iy = 2 ⎮ x b⎢1 − ⎞ ⎥ dx ⎣ ⎝ a⎠ ⎦ ⌡

Iy = 8.53 m

4

0

993

© 2007 R. C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved Thi t i li t t d d ll i ht l th tl i t N ti f thi t i l

Engineering Mechanics - Statics

Chapter 10

Problem 10-3 Determine the moment of inertia for the thin strip of area about the x axis.The strip is oriented at an angle θ from the x axis. Assume that t...