The rigid bar BC shown in the figure is subjected to an external load Fapplied and is supported bypin at C and rigid bar AB. Bar AB is made of steel (E = 30Mpsi, oy = 84 ksi), with the crosssection shown, and its length L = 10 ft.Determine:a. The location of the centroid (x, y) relative to the axes shownb. The moment of inertia about the x and y centroidal axes (Ixc, Iyc) of the areac. The maximum allowable Fapplied Such that:a. AB does not buckle about the y centroidal axis (pin-pin end conditions)b. AB does not buckle about the x centroidal axis (fixed-fixed end conditions)c. AB does not yieldUse a factor of safety of 2.5 for buckling and 3.0 for yielding5 fty7.5 ftFeplied3 in9 in3 inFom t3 in9 in3 in

Since, part (a) and part (b) are too length, so repost the part (c) in separate post. Also the part…

The rigid bar BC shown in the figure is subjected to an external load Fapplied and is supported pin at C and rigid bar AB. Bar AB is made of steel (E = 30Mpsi, oy = 84 ksi), with the cross section shown, and its length L = 10 ft. Determine: a. The location of the centroid (X,y) relative to the axes shown b. The moment of inertia about the x and y centroidal axes (Ixc, Iyc) of the area

The rigid bar BC shown in the figure is subjected to an external load Fapplied and is supported pin at C and rigid bar AB. Bar AB is made of steel (E = 30Mpsi, oy = 84 ksi), with the cross section shown, and its length L = 10 ft. Determine: a. The location of the centroid (X,y) relative to the axes shown b. The moment of inertia about the x and y centroidal axes (Ixc, Iyc) of the area

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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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

The rigid bar BC shown in the figure is subjected to an external load Fapplied and is supported by
pin at C and rigid bar AB. Bar AB is made of steel (E = 30Mpsi, oy = 84 ksi), with the cross
section shown, and its length L = 10 ft.
Determine:
a. The location of the centroid (x, y) relative to the axes shown
b. The moment of inertia about the x and y centroidal axes (Ixc, Iyc) of the area
c. The maximum allowable Fapplied Such that:
a. AB does not buckle about the y centroidal axis (pin-pin end conditions)
b. AB does not buckle about the x centroidal axis (fixed-fixed end conditions)
c. AB does not yield
Use a factor of safety of 2.5 for buckling and 3.0 for yielding
5 ft
y
7.5 ft
Feplied
3 in
9 in
3 in
Fom t
3 in
9 in
3 in

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