A trapezoid is shown in the figure. 6 6 6 6 6 Compute the area of the trapezoid. 2 Compute the centroid of the trapezoid. 3 Compute the centroidal moment of inertia of the trapezoid.

Determine the centroids and the second moment of the area for the figures shown below abouttheir centroidal axes.

For the area shown, do the following: a. Determine the centroid with respect to the indicated X and Y axes of the area shown. If centroid is zero, show proof that it is zero. b. Determine the moment of inertia with respect to the centroidal X and Y axes c. Determine the product of inertia with respect to the indicated X and Y axes. d. Determine the polar moment of inertia with respect to the centroidal X and Y axes. вотт BE 80mm 60 mm 60 mm

A structure consists of two thin rectangular plates having the same dimensions (shown in figure) and same mass, m = 8 kg esch. The two plates are welded together to form a rigid body that may rotate in the plane. Determine, for this rigid body, the moment of inertia ly about the fixed point P. P is frised

2. A two-member truss structure is loaded as shown. Determine the horizontal and vertical components of the displacement of point A. CY dimensions in meters TAB 3 A 80KN 4:5 EAB 70 GPa ; EAC=70 GPa AAB=150mm²; AAC = 100mm²

The force of a beam structure is shown in the figure below. Try to calculate the vertical displacement of point C and the rotation angle of point B. The EI of the entire structural section is constant.

Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN

Please correct solution and solve all parts