60 mm 20 mm 10 mm 20 mm 60 mm 10 mm 100 mm- 10 mm- PROBLEM 9.71 Using the parallel-axis theorem, determine the moment of inertia of the area shown with respect to the x-x and y-yaxes.
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- Determine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis.Knowing the horizontal neutral axis = 136.745098mm, Calculate the second moment of area, Ixx, of the section about the horizontal axis x-x.Two equal steel beams are built-in at one end and connected by a steel rod as shown. Show that the pull in the tie rod is: (in the photo) where d is the diameter of the rod, and 1 is the second moment of area of the section of each beam about its neutral axis. (Cambridge)
- Determine the maximum moment of a 25-ft simply-supported beam with a 1000 lb load at the center.The shaded area shown is bounded by y axis, line y = 2.42 m and the curve y(x)=(1/(4.4))x3 m, where x is in m. Suppose that a = 2.2 m and h = 2.42 m . Determine the moment of inertia for the shaded area about the y axis. Iy = ?The horizontal x axis is drawn through the centroid C of the area shown and divides it into two component areas A1 and A2.Determine the first moment of each component area with respect to the x axis, and explain the results obtained.
- A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid.Give complete calculations to determine the magnitude of the moment by F about the x-axis given that F= (30i+30j+60k)lbsThe shaded area shown. is bounded by the line y=x m and the curve y2=1.2x m2, where x is in m. Suppose that a = 1.2 m. Determine the moment of inertia for the shaded area about the y axis.
- For the beam I-section below, calculate the second moment of area about its centroidal x-axis (Ixxcentroid), where b1 = 10.50 mm, b2 = 2.50 mm, b3 = 38.50 mm, d1 = 1.50 mm, d2 = 36.50 mm and d3 = 12.50 mm. Give your answer in mm4 to two decimal places.B-Determine the moment of inertia of the shaded area of the figure below about y axis only. Fig1 BThe horizontal x axis is drawn through the centroid C of the area shown, and it divides the area into two component areas A1 and A2 . Determine the first moment of each component area with respect to the x axis, and explain the results obtained.