Problem 4 In Figure 4, a 5-kg uniform serving table is supported on each side by two pairs of identical links, AB and CD, and springs CE. If the bowl has a mass of 1 kg and is in equilibrium when = 45°, and the springs of stiffness k each are unstretched when 0 = 90°. Neglect the mass of the links. (a) Draw the free body diagram. You need to specify the positions of the gravity center of the bowl (yGb) and table (yot) as well as the deformation of the spring (xc) (b) Express yGb, yGt and xc in terms of 0. (c) Find the virtual displacements SyGь, SyGt and Sxc of the positions due to a virtual rotation Se. (d) Write the virtual work equation. 250 mm 150 mm (e) Determine the stiffness of each spring. 250 mm Figure 4 k 150 mm
Problem 4 In Figure 4, a 5-kg uniform serving table is supported on each side by two pairs of identical links, AB and CD, and springs CE. If the bowl has a mass of 1 kg and is in equilibrium when = 45°, and the springs of stiffness k each are unstretched when 0 = 90°. Neglect the mass of the links. (a) Draw the free body diagram. You need to specify the positions of the gravity center of the bowl (yGb) and table (yot) as well as the deformation of the spring (xc) (b) Express yGb, yGt and xc in terms of 0. (c) Find the virtual displacements SyGь, SyGt and Sxc of the positions due to a virtual rotation Se. (d) Write the virtual work equation. 250 mm 150 mm (e) Determine the stiffness of each spring. 250 mm Figure 4 k 150 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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