Answer the following the figure questions for the cross section shown in below. section in IY,...
Answer the following questions for the cross section shown in the Figure below. Find the Cross section centroid position (yo uzo) of the plane. in the yz about (b . section b 6t N
60 mm A 2 m long cantilever beam with an asymmetric cross-section is subjected to a tip load of 3 kN, as shown. The y- and z-axes pass through the centroid of the cross-section. (a) Show that moments of inertia for the cross-section are 1.33x106 mm4, Iy - 0.917x106 mm4 and Iy-0.03x106 mm4, (b) Find the inclination of the neutral axis and (c) Find the magnitude and location of maximum tensile and compressive stresses in the C.S 10 0° -28...
Compute the area moments of inertia (Iz and Iy) about the horizontal and vertical centroidal (x and y) axes, respectively, and the centroidal polar area moment of inertia (J-Iz -Iz +Iy) of the cross section of Problem P8.12. Answer: 1x-25.803 in. Ц-167.167 in. and J-192.97 in P8.12 The cross-sectional dimensions of the beam shown in Figure P8.12 are a 5.o in., b moment about the z centroidal axis is Mz--4.25 kip ft. Determine 6.o in., d -4.0 in., and t-...
4.14. The effective area of the wing cross section shown has the following properties about the 20 and 2 axes through the centroid: 1. = 480 in.", 1, = 1620 in,.^, Ize = 180 in. Find the principal axes and the moments of inertia about the principal axes.
< Homework#6 Problem 6.106 Determine the constant a Express your answer in terms of some or all of the variables Ms Ltu Iy, le, and Iy* Consider the general case of a prismatic beam subjected to bending- moment components MyandMs as shown, when the , g, z axes pass through the centroid of the cross section (Figure 1). If the material is linear- elastic, the normal stress in the beam is a linear function of position such that σ =...
Please answer the following,and please note that
0.00130,0.00608,-0.000558 does not work.
Mohr's circle is a graphical method used to determine an area's principal moments of inertia and to find the orientation of the principal axes. Another advantage of using Mohr's circle is that it does not require that long equations be memorized. The method is as follows: 1. To construct Mohr's circle, begin by constructing a coordinate system with the moment of inertia, I, as the abscissa (x axis) and...
50 M=2.0kN.m 100 160 100 Fig. 3 Fig. 4 Prob. 3. For the unsymmetric cross section shown in Fig. 3, a moment M is applied at +45° from z. All dimensions are in mm. The thickness = 4 mm. Determine (a) the centroid of the cross section (b) the moments of inertia and product of inertia under y-z (c) the principal moments of inertia and the direction of the principal system (d) the orientation of the neutral axis in terms...
d. For the area shown below (dimensions in ft), determine the centroid location (ū and y) and calculate the moments of inertia (Iz' and Iy about the centroid axes). y 3 ft 3 ft + 1 ft 1.5 ft X
Parallel-Axis Theorem for an Area 2 of 8 Learning Goal: I, Iy = ft To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. The parallel-axis theorem can be used to find an area's Submit axis that passes through the centroid and whose moment of inertia is known. If ar and y' are the axes that pass through an area's centroid, the parallel-axis theorem for the moment about the x axis, moment about...
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...