1. For the cross section shown in the accompanying illustration, compute the location of the controid...
For a 6x4 x5/8 unequal leg angle locate the centroid relative to the axes shown below (the U and V axes in the figure), and then find the maximum and minimum mlues for the moment of inertia with respect to the centroidal axes. The centroidal axes are located at the centroid, but the axes associated with the maximum and minimum moments of inertial (the principle moments of inertia) are not parallel to the U and V axes shown below. Find...
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral axis B. Compute the moment of inertia of the section around the neutral axis C. Locate the section of maximum moment then compute the maximum stress due to bending, fb D. Locate the section of maximum shear-compute the shear stress at the neutral axis 3.0 k 8" 1.5 k/ft 1.0 k/ft 2" 8 10 ft 6 ft 4 ft 2" Cross-Section Problem 1...
Locate the centroid of the shown cross-section, calculate moment of inertia about x and y axes. 250 38 100 m kum ---75 mm-- --75 mm 38 150 50 mm SO mm - 75 mm-+-75 mm- 25 mm 100 mm 4 in 3 in.- -
please make sure to also draw mohrs circle For the un-symmetric C-section shown below 1- Locate the centroid "C" 2- Detemine the principal axes and moments of inertia about the centroid. 3- Detemine the moments and product of Inertia with respect to the u-v axes using Mohr's circle ye 0.5 in 6 in 4 in For the un-symmetric C-section shown below 1- Locate the centroid "C" 2- Detemine the principal axes and moments of inertia about the centroid. 3- Detemine...
Section 8.5 Radius of Gyration 8.16 Compute the radii of gyration about both centroidal axes for the following structural steel shapes and compare your results with tabulated values: (a) W10 X 54 (b) C10 X 15.3 o TABLE 3 Properties of areas Polar S Moment of Inertia |Moment of Inertiaの|Radius of Gyration Area (A) Shape 4°、12 12 CG 12 13 CG 18 36 A- 12 Triangle CG e 64 0.7854d : 0.7854R Circle Shape Area (A) Moment of Lnertia Radius...
x = ky2 X For the section shown, it k has a value of 2 and b has a value of 8: 1. Calculate the area of the shaded area 2. Calculate the distance from the y axis of the x centroid 3. Calculate the distance from the x axis of the y centroid 4. Calculate the moment on inertia about the y centrodial axis 5. Calculate the moment of inertia about the x centroidal axis 6. Calculate the moment...
1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in the figure below. a. State the distance of the centroid from the 2 axis. b. Calculate the area moment of inertia about the centroid. c. Calculate the maximum stress in the beam 300 mm 20 mm 185 mm 20 mm 35 mm 1. A beam has a max moment of 45 kN-m. The cross section of the beam is shown in...
For the shaded shape shown 1. Calculate the area of the shaded shape 2. Calculate the location of the x-centroid of the shaded shape 3. Calculate the location of the y-centroid of the shaded shape 4. Calculate the moment of inertia of the shaded shape about the y centroidal axis 5. Calculate the moment of inertia of the shaded shape about the x centroidal axis 6. Calculate the moment of inertia about the x axis (along the bottom of the...
Two chanes and syration of the combined section with respect to the centroidal axes shown. two plates are used to form the column section shown Determine the moments of inertia and the radii of Display Channel Properties 1x = 1046 mm14 ly H 10 6 mm4 C200 X 27.9 13 mm 190 mm _ 340 mm erian Standard Channels r d Value 27.9 3550 203 12.4 64.3 9.91 14.4 0 18.3 71.6 0.82 15.2 Units kg/m mm 2 Mass per...
Statics 3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes Yc centroidal Ixe = bh?/12 and lyc = hb?/12 h Xc b Yc centroidal Ixe = r4/4 and Iye = 1r4/4 Xc ka nga X- Y- 8" (5 points) (5...