As shown, a rectangle has a base of b = 2.50 m and a height of h = 1.50 m . ( Fi

Question

As shown, a rectangle has a base of b = 2.50m and a height of h = 1.50m . (Figure 2) The rectangle's bottom is located at a distance y1 = 1.20m from the x axis, and the rectangle's left edge is located at a distance x1 = 1.30m from the y axis. What are Ix and Iy, the area's moments of inertia, about the x and y axes, respectively?

Express your answers numerically in biquadratic meters

As shown, a rectangle has a base of b = 2.50m and a height of h = 1.50m . (Figure 2) The rectangle's bottom is located at a distance y1 = 1.20m from the x axis, and the rectangle's left edge is located at a distance x1 = 1.30m from the y axis. What are Ix and Iy, the area's moments of inertia, about the x and y axes, respectively?

Explanation / Answer

A = bh = 2.5 * 1.5 = 3.75

Moment of inertia about C along x axis is: I_X = b*h^3 / 12 = 0.703125

Moment of inertia about C along y axis is: I_Y = h*b^3 / 12 = 1.953125

Use parallel axis theorem:

I_0x = I_X + A * (x1 + b/2)^2 = 25.0875

I_0y = I_X + A * (y1 + h/2)^2 = 16.2125

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