107 783
Assignments Done
100%
Successfully Done
In July 2024

# Answer to Question #172803 in Civil and Environmental Engineering for Kiara

Question #172803

Two concentric springs, the central spring being 5 mm shorter than the outer spring, are to be loaded as shown. The outer spring consists of 40 turns of 15 mm diameter wire coiled on a mean diameter of 100 mm. The central spring, on the other hand, has 80 turns of 20 mm diameter wire coiled on a mean diameter of 80 mm. Use 83 GPa and 76 GPa for the shear modulus of the outer and the central springs, respectively. If the load P = 2 kN, determine the stress in the central spring and the displacement of the plate.

1
2021-03-18T05:55:26-0400

A force of 2 kN is acting on a circular rod with diameter 20 mm. The stress in the rod can be

σ = (20 103 N) / (π ((20 10-3 m) / 2)2)

= 127388535*2 (N/m2

= 127*2 (MPa)

= 381(MPa)

The change of length can be calculated by:

dl = σ l/ E

= (381 106 Pa) (2 m) / (83 109 Pa)

= 0.00381 m

= 3.81 mm

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!