centroid of area

819 Inverted T-section | Moment of Inertia

Problem 819
Determine the moment of inertia of the T-section shown in Fig. P-819 with respect to its centroidal Xo axis.
 

724 Rectangle, semicircle, quarter-circle, and triangle | Centroid of Composite Area

Problem 724
Find the coordinates of the centroid of the shaded area shown in Fig. P-724.
 

723 Rectangle, quarter circle and triangle | Centroid of Composite Area

Problem 723
Locate the centroid of the shaded area in Fig. P-723.
 

722 Semicircle and quarter circle | Centroid of composite area

Problem 722
Locate the centroid of the shaded area in Fig. P-722 created by cutting a semicircle of diameter r from a quarter circle of radius r.
 

721 Increasing the width of flange to lower the centroid of inverted T-beam

Problem 721
Refer again to Fig. P-714. To what value should the 6-in. width of
the flange be changed so that the centroid of the area is 2.5 in. above the base?
 

Inverted T-section for centroid problem

 

720 Two triangles | Centroid of Composite Area

Problem 720
The centroid of the sahded area in Fig. P-720 is required to lie on the y-axis. Determine the distance b that will fulfill this requirement.
 

Centroid involving a triangle of unknown base

 

718 Square and Triangles | Centroid of Composite Area

Problem 718
Locate the centroid of the shaded area shown in Fig. P-718.
 

Trapezoidal area with isosceles triangle subtracted from the bottom

 

715 Semicircle and Triangle | Centroid of Composite Figure

Problem 715
Determine the coordinates of the centroid of the area shown in Fig. P-715 with respect to the given axes.
 

Semicircle surmounted on top of a right triangle

 

714 Inverted T-section | Centroid of Composite Figure

Problem 714
The dimensions of the T-section of a cast-iron beam are shown in Fig. P-714. How far is the centroid of the area above the base?
 

Inverted T-section for centroid problem

 

709 Centroid of the area bounded by one arc of sine curve and the x-axis

Problem 709
Locate the centroid of the area bounded by the x-axis and the sine curve $y = a \sin \dfrac{\pi x}{L}$ from x = 0 to x = L.
 

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