Question 1 25 pts The cross-section area shown in the figure is symmetric about the y-axis....
a) Determine the moment of inertia about the cross sectional area of the T-beam with respect to the x' axis passing through the centroid of the cross section. b) Determine the moment of Inertia about the cross sectional area of the T-beam with respect to the y' axis passing through the centroid of the cross section.
For each figure, determine:
The coordinates of the centroid of the area in the figure
below;
b.Determine the moment of inertia about the centroidal x and y
‐axis
3. For each figure, determine: a. b. The coordinates of the centroid of the area in the figure below; Determine the moment of inertia about the centroidal x and y -axis 50" 2* m25 m 3" dia 5 m cutou 90" NA 21 1 m 25" 5*
3. For each figure, determine:...
1. For the cross section shown in the accompanying illustration, compute the location of the controid (i.e., X, Y), moment of inertias 7, and I, and the radii of gyrations k, and ke about the centroidal axes for combine area shown below. You should first locate the centroid and then transfer your moment of inertia for the individual sub- sections you use to compute the centroid axes using the parallel axis theorem. 1-248-45, +4,8, +4,8, 24 4 + 4 +...
An area is defined by two curves y = x and y = x2 as shown below. (a) (2 pt) Define vertical and horizontal infinitesimal elements. (b) (1 pt) Find the total area. (c) (2 pts) Calculate the x- and y-coordinates of the centroid C. (d) (2 pts) Calculate area moments of inertia about x and y axes (Ix and Iy) first. (e) (2 pts) Apply the parallel axis theorem to find area moments of inertia about the centroidal axis...
. For each figure, determine: a. b. The coordinates of the centroid of the area in the figure below; Determine the moment of inertia about the centroidal x and y -axis 50% 2" 25 m 90" 3" dia cutout 41 .5 m NA 2 .1 m 25" 5*
. For each figure, determine: a. b. The coordinates of the centroid of the area in the figure below; Determine the moment of inertia about the centroidal x and y -axis 50%...
3. The beam, with symmetric cross-section about y (all thicknesses of 1 in) as shown, is subjected to an internal moment of M 480 kip.in and a shear force of V 340 kip. For this system, a) determine the location of the neutral axis, y (measured from the bottom of cross-section as shown) and the area moment of inertia, I about the neutral axis (NA or z-axis), the maximum compressive, (o,nax), and tensile, (Omax): normal stresses, and b) o kip....
OBLEM 2. 25%. For the section shown in the figure, determine (a) The location Xog and yeg of the centroid of the composite section; (b) Ixx, the moment of inertia about the x-axis (c) Ix-eg, the moment of inertia about an axis parallel to the x-axis that passes through the centroid 19 R:5"
please show all your work thank you!
Problem 2 (25%) 14 in A beam cross-section is shown in the provided figure. 2 in (A)(10%) Determine the distance (y) from the bottom the section to the centroid (C). 16 in 8 in Problem 2 (25% - 14 in- A beam cross-section is shown in the provided figure. 2 in (B) (15%) Determine the moment of inertia of the shape about the X-axis (i.e. the horizontal centroidal axis) 16 in - 2...
Determine the moment of inertia of the beam's cross-sectional area with respect to the x' axis passing through the centroid C of the cross section. y = 104.3 mm. Refer Figure Q1(b).
3. (25pts) You have a beam with the cross section shown. Take x=0 (horizontal) and y=0 (vertical) at the lower left corner at point C. Use the table method for calculations. a. What is the area of the beam cross section? Give answer in mm2. b. What are the coordinates of the centroid of the beam cross section, i and j. Give answers in mm. 400mm C. What is the 2nd moment of the area of the beam about its...