What is the maximum elongation of the spring in the following example problem, if the spring is made of phosphor bronze for which G = 42 GPa and is stressed to 140 MPa. Use Eq. (3-10).

Elements Of Electromagnetics
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What is the maximum elongation of the spring in the following example problem, if the spring is made of phosphor bronze for which G = 42 GPa and is stressed to 140 MPa. Use Eq. (3-10).

 

Determine the maximum shearing stress and elongation in helical steel spring composed of 20
turns of 20mm-diameter wire on a mean radius of 80mm when the spring is supporting a load of
2kN. Use
Eq. (3-10) and G = 83 GPa.
Given:
n = 20 turns
d = 20 mm
R = 80mm
P = 2KN
G = 83 GPa
Required:
Max. shearing stress, (rmax.)
Elongation, (6)
Solutions:
Eq. 3-10
Max. T =
2R
M===
d
Max. T =
16PR
nd³
8 =
2 (80)
20
4m-1
4m-4
= 8
16(2,000) (0.080) 4x8-1
T(0.020³)
4x8-4
= 120.6 MPa ans.
+ 0.615
m
64PR³n
Gd4
(64)(2000) (0,080)³ (20)
(83x10^9) (0.020)^4
= 98.7mm ans.
+ 0.615
8
Transcribed Image Text:Determine the maximum shearing stress and elongation in helical steel spring composed of 20 turns of 20mm-diameter wire on a mean radius of 80mm when the spring is supporting a load of 2kN. Use Eq. (3-10) and G = 83 GPa. Given: n = 20 turns d = 20 mm R = 80mm P = 2KN G = 83 GPa Required: Max. shearing stress, (rmax.) Elongation, (6) Solutions: Eq. 3-10 Max. T = 2R M=== d Max. T = 16PR nd³ 8 = 2 (80) 20 4m-1 4m-4 = 8 16(2,000) (0.080) 4x8-1 T(0.020³) 4x8-4 = 120.6 MPa ans. + 0.615 m 64PR³n Gd4 (64)(2000) (0,080)³ (20) (83x10^9) (0.020)^4 = 98.7mm ans. + 0.615 8
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