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the location, y, of the centroid of the composite (use 4 significant figures for all values): area

the location, y, of the centroid of the composite (use 4 significant figures for all values): area

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Just answer (i)

R=31.79

h=56.68

 

(i) the location, ỹ, of the centroid of the composite area (use 4 significant figures for all values): R (3 h/2 C h h/2 y Beam component Identifier Area (mm?) Distance of centroid from x axis (mm) Rectangle Semi-circle Semi-circle Semi-circle Composite beam
Transcribed Image Text:(i) the location, ỹ, of the centroid of the composite area (use 4 significant figures for all values): R (3 h/2 C h h/2 y Beam component Identifier Area (mm?) Distance of centroid from x axis (mm) Rectangle Semi-circle Semi-circle Semi-circle Composite beam
A composite steel beam of strength, a, has a cross-section comprised of a semi-circle of radius, R, attached to the top of a rectangle of height, h, and semi-circles of radius, h/2, attached to the left and right side of the rectangle, as shown in the figure below. Values for the centroid location, F,, and second moment of area through the centroid, Iaa, of the semi-circle are also presented. The beam is subjected to a moment, Ma, and triangular distributed load of maximum magnitude, qo, as shown in the figure on the following page. Neglect the weight of the beam. Dimensions of the beam and loading conditions have been shown in the table on the following page. Calculate, to four (4) significant figures: (i) the location, y, of the centroid of the composite area (as shown in the figure below), (ii) the second moment of area, la, through the centroid of the composite beam,
Transcribed Image Text:A composite steel beam of strength, a, has a cross-section comprised of a semi-circle of radius, R, attached to the top of a rectangle of height, h, and semi-circles of radius, h/2, attached to the left and right side of the rectangle, as shown in the figure below. Values for the centroid location, F,, and second moment of area through the centroid, Iaa, of the semi-circle are also presented. The beam is subjected to a moment, Ma, and triangular distributed load of maximum magnitude, qo, as shown in the figure on the following page. Neglect the weight of the beam. Dimensions of the beam and loading conditions have been shown in the table on the following page. Calculate, to four (4) significant figures: (i) the location, y, of the centroid of the composite area (as shown in the figure below), (ii) the second moment of area, la, through the centroid of the composite beam,
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