Problem 2 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 0 = 45°, and the springs of stiffness k each are unstretched when 0 = 90°. Neglect the mass of the links. (a) (b) (c) (d) Express yGb, yGt and xc in terms of 0. Find the virtual displacements SyGb, SyGt and Sxc of the positions due to a virtual rotation 80. Write the virtual work equation. Determine the stiffness of each spring. 250 mm 150 mm 250 mm E k Fig. 2 150 mm

Steel Design (Activate Learning with these NEW titles from Engineering!)
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Chapter10: Plate Girders
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Problem 2
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 0 = 45°, and the springs of stiffness
k each are unstretched when 0 = 90°. Neglect the mass of the links.
(a)
(b)
(c)
(d)
Express yGb, yGt and xc in terms of 0.
Find the virtual displacements SyGb, SyGt and Sxc of the positions due to a virtual rotation 80.
Write the virtual work equation.
Determine the stiffness of each spring.
250 mm 150 mm
250 mm
E
k
Fig. 2
150 mm
Transcribed Image Text:Problem 2 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 0 = 45°, and the springs of stiffness k each are unstretched when 0 = 90°. Neglect the mass of the links. (a) (b) (c) (d) Express yGb, yGt and xc in terms of 0. Find the virtual displacements SyGb, SyGt and Sxc of the positions due to a virtual rotation 80. Write the virtual work equation. Determine the stiffness of each spring. 250 mm 150 mm 250 mm E k Fig. 2 150 mm
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