8.22 The plane region is bounded by a semicircle of radius R and a parabola of height h. Determine the relationship between R and h for which the centroid of the region is at C. Use the method of composite areas. Parabola Fig. P8.22 R h x

8.22 The plane region is bounded by a semicircle of radius R and a parabola of height h. Determine the relationship between R and h for which the centroid of the region is at C. Use the method of composite areas. Parabola Fig. P8.22 R h x

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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ENGINEERING MECHANICS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. NO LNG EXPLANATION. ANSWER IN 2 DECIMAL PLACES.)

8.22 (Ans: h = √5R/2)

8.22 The plane region is bounded by a semicircle of radius R and a parabola
of height h. Determine the relationship between R and h for which the centroid
of the region is at C. Use the method of composite areas.
Parabola
Fig. P8.22
R
X

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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