Chapter 10, Problem 7RP

Determine the moment of inertia of the composite area about the y axis. Set a = 420 mm,b = 160 mm, h = 80 mm, r= 55 mm

Locate the centroid  of the beam’s cross sectional area, and then determine the moment of inertia of the area about the centroidal y' axis

Find the moment of inertia of a triangular section having 50 mm base and 60 mm height about an axis through its centre of gravity and base. Answer :IG = 300 x 103 mm4;  IBase = 900 x 103 mm4

Determine the moment of inertia about the y-axis of the shaded area of the figure shown:*

Determine the moment of inertia of the inverted T section about the base of the section. Draw the diagram. Specifications are as follows: Width of web (W) =120 mm, Height of the section (H) = 220 mm, Thickness of web and leg (T) = 12 mm.

Find the moment of inertia of a T-section having flange and web both 120 mm × 30 mm about X-X axis passing through the centre of gravity of the section.

Formulas Moments of Inertia x= [y²d ly = fx²dA Theorem of Parallel Axis Ixr = 1 + d² A * axis going through the centroid x' axis parallel to x going through the point of interest d minimal distance (perpendicular) between x and x' ly₁ = 15+d²A ỹ axis going through the centroid y' axis parallel to y going through the point of interest d minimal distance (perpendicular) between y and y' Composite Bodies 1=Σ 4 All the moments of inertia should be about the same axis. Radius of Gyration k=

1. Determine the moment of inertia about an axis perpendicular to the page and passing through the pin at 0. The thin plate has a hole in its center. Its thickness is 50 mm, and the material has a density of p = 60 kg/m³. What is the radius of gyration about this point? 150 mm 1.40 m 1.40 m

Calculate the moment of inertia about the centroid in the y axis (ly) if H=7 in, h=1.2 in, B=8 in and b=0.6 in. Remember that you need to calculate first the centroid of the section.