The rigid bar of negligible weight is supported as shown. The middle helical spring is made of 22 mm diameter steel spring and has an outside diameter of 100 mm with 10 turns and the two side springs are made of 32 mm steel spring and has an outside diameter of 250 mm with 8 turns. Before the load P is applied, the side springs are 25 mm longer than the middle spring. If the applied load P = 15 kN and the rigid bar remains horizontal, determine the stress in each spring. Use G = 83 GPa for steel and G = 42 GPa for bronze.
The rigid bar of negligible weight is supported as shown. The middle helical spring is made of 22 mm diameter steel spring and has an outside diameter of 100 mm with 10 turns and the two side springs are made of 32 mm steel spring and has an outside diameter of 250 mm with 8 turns. Before the load P is applied, the side springs are 25 mm longer than the middle spring. If the applied load P = 15 kN and the rigid bar remains horizontal, determine the stress in each spring. Use G = 83 GPa for steel and G = 42 GPa for bronze.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The rigid bar of negligible weight is supported as shown. The middle helical spring is made of 22 mm diameter steel spring and has an outside diameter of 100 mm with 10 turns and the two side springs are made of 32 mm steel spring and has an outside diameter of 250 mm with 8 turns. Before the load P is applied, the side springs are 25 mm longer than the middle spring. If the applied load P = 15 kN and the rigid bar remains horizontal, determine the stress in each spring. Use G = 83 GPa for steel and G = 42 GPa for bronze.
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Step 1 Given Data and Spring Constant (K) for each spring
VIEWStep 2 Finding Deflection of spring 1 & 2 due to load P without considering Middle Spring
VIEWStep 3 Resisting Load Offered by Spring 1 & 2 due to initial 25 mm Deflection
VIEWStep 4 Net Deflection when Spring 3 Comes in contact
VIEWStep 5 Stresses in each spring due to load carryed by each spring after total deflection
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