please show all your work thank you! Problem 2 (25%) 14 in A beam cross-section is...
Problem 8 Determine the distance from the bottom to the centroid for the cross section Determine the moment of inertia about the horizontal axis through the centroid. 1 in. 3 in. 15 in. 5 in. 4 in 6 in. 2 in. 12 in.
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...
3 please show all work 3) The machine casting and casting cross-section shown are subject to a shear force V 5000 lbs. Determine the shear flow (q) and the shear stress (t) at the interface between the top flange (4"x0.5") and the web (0.5"x1.5"). The neutral axis is 1.477 inches from the bottom and the centroidal moment of inertia 0.7278 in4 4 in. 2 in. 0.3 in. 0.5 in. 4.) For the cantilever beam loading shown in the figure for...
A beam with a cross section shown below is subjected to a positive moment about a horizontal axis. The beam is made from an elastic perfectly plastic material with an allowable yield stress of 220 MPa. "t" has a value of 12 mm. Answer the questions that follow: 10t 6t Determine the centroid of this section i.e.as measured from the bottom of the section in [mm) - Determine the moment of inertia about the elastic neutral axis in [mm4] Determine...
The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 42 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d) the...
Problem #2) Three boards that are glued together to form a single beam whose cross section is shown below. The moment acting about the z-axis is 1000 ft-lb and the vertical shear force is 400 lb. (20 points) a. Find the vertical centroid of the section, y. b. Find the moment of inertia of the section taken about a horizontal z-axis through the centroid. c. Determine the bending stress the wood must be able to resist assuming compression controls. d....
2. The A-36 steel beam cross-section (E - 29.0 Msi, oy 36 ksi) with dimension:s shown is subjected to bending. Find: a. y, the distance to the centroidal axis b. lx, the moment of inertia about the centroidal x-axis c. Mv, the maximum elastic moment. 2 4 6 6' 01 24
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.
Question 1 25 pts The cross-section area shown in the figure is symmetric about the y-axis. When b = 24", determine (a) the coordinates of the centroid (x, y), and (b) the moment of inertial about the centroidal axis x! The centroidal axis x'is parallel to x- axis and crosses through (X,Y). Upload Choose a File
Please show all steps and applicable diagrams a = 2.0m b = 4.0m c = 2.0m d = 6.0m e = 3.0m M = 48kN*m w1 = 8kN/m w2 = 6kN/m W1 W2 M BE 5 •d ye Beam DBE has the cross-section shown in the figure to the right Calculate: c) the vertical position y, of the centroid of the girder cross-section, and d) the moment of inertia Ix' about the horizontal axis x'x' passing through the centroid of...