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.
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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](/sites/default/files/images/714-inverted-t-beam.gif)
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](/sites/default/files/images/720-two-triangles.gif)
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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](http://www.mathalino.com/sites/default/files/images/718-trapezoid-minus-triangle.gif)
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](http://www.mathalino.com/sites/default/files/images/714-inverted-t-beam.gif)
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.