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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
Transcribed Image Text: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
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