*3-44. Determine the magnitudes of F1, F2, and F; for equilibrium of the particle.
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- Determine the moments of inertia of the Z-section about its centroidal Xo- and yo-axes. 110 mm 21 mm yo 160 mm 21 mm 21 mm -110 mm Answers: Ixo %3D i 11.3456 (106) mm4 lyo %3D i (10) mm4Find the position of the centroid as well as the moment of inertia with respect to a horizontal axis passing through the centroid in two different ways: (a) By adding the areas. (b) Considering the absence of area as a negative area Answer: 1503.79cm4PROBLEM NO. 7 Determine the location of the centroid, y, and the moment of inertia of the cross section about the neutral axis (Ixx). 0.1 m 0.3 m 0.1 m -0.2 m-
- 3. Find the moment of inertia, radii of gyration and product of inertia considering the figure lies on the first quadrant. b= 4.0 y 5.6 m 5.6 m b. 5.6 m 5.6 m 4.2 m -4.2 m- Fig. P9.49E11 M L2 ΕΙΣ D What is the rotation at A to the nearest 0.0001 radians? NEGLECT THE NEGATIVE SIGN. M-12 k-ft L1-2 ft L2-3 ft L3-4 ft El1-240,000 k-in^2 El2 - 24,000 k-in^21.36 The bell crank, which is in equilibrium under the forces shown in the figure, is supported by a 20-mm-diameter pin at D that is in double shear. Determine (a) the required diameter of the connecting rod AB, given that its tensile working stress is 100 MPa; and (b) the shear stress in the pin.
- 9.54 The motions of two pins A and B are constrained in such a way that they remain in the vertical slot of member C and in the circular path at all times as shown. If the relative velocity vRA = 40 mm/s when x = 100 mm, determine the velocity ve of member C. %3D B 260 mm A 4.Determine the moment of inertia in __ x 108 mm4 about the centroidal x-axis.07.36 Use the virtual work method to determine the rotation of joint B of the frame shown. B 150 kN 4 m 11.5m-+-1.5m+ 20 kN/m 5m El = constant E = 200 GPa 1=500(106) mm4
- Y PROBLEM 3.15 3.16 Three forces of 900 lb, 1000 lb, and 600 lb are acting on a boat. The first force acts due north, the second acts due east, and the third acts 30° east of south. Find the magnitude and direction of the resultant force on the boat. 3.17 Determine the magnitude, direction, and sense of the resul- tant force of the coplanar concurrent force system shown. X PROBLEM 3.17 80° 70° 95 N Y di 00 0 110 N Y di OES 20° X 100 N PRЗт 4.5m 1.) Determine the location of the general centroid from the x and y-axes 2.) Determine the centroidal moment of inertia about x and y 3.) Determine the polar moment of inertia 4.) Determine the base moment of inertia 5.) Determine the radius of gyration7.41 Use the virtual work method to determine the rotation of joint B of the frame shown. 7.42 Use the virtual work method to determine the vertical deflection at joint B of the frame shown in Fig. P7.41. 4m A 150 kN B -1.51 -1.5 m-1.5 m-+ 20 kN/m 5 m El= constant E = 200 GPa I= 500 (106) mm4 2 с