Question #218431

The following data refer to two close-coiled helical steel springs.

 

SPRING

FREE HEIGHT

d

D

N

1

55 mm

4,75 mm

30 mm

8

2

48 mm

5,3 mm

44 mm

6

 

 

One spring is placed inside the other, not touching each other, and compressed between a pair of parallel plates until the distance between the plates is 40 mm. Make a neat detailed sketch of the spring and plate assembly. If G = 83 GPa for both springs, calculate the following:

 

5.1 The force applied to the spring assembly. ​​​​​/4/

 

5.2 The shear stress induced in each spring.​​​​​​/3/

 

5.3 The total strain energy stored in the spring assembly.​​​​/3/

 

5.4 The stiffness of each spring.​​​​​​​/3/

 

5.5​The equivalent stiffness of a single spring that can be substituted in place of these springs.​​​​


1
Expert's answer
2021-07-19T03:15:58-0400

G=83 GPa=83×109 PaG=83×103 N/mm2G = 83\ GPa = 83×10^9\ Pa\\ G = 83× 10^3\ N/mm²


(Spring index)

C1C_1 =D/d=30/4.75=6.3=D/d = 30/4.75=6.3

C2=D/d=44/5.3=8.3C_2 =D/d = 44/5.3 = 8.3


(Pitch)

p1=p_1= free length/N-1 =55/81==55/8-1 =

55/7=7.9mm55/7=7.9mm

p2=48/61=48/5=9.6mmp_2= 48/6-1 = 48/5 = 9.6mm


τ=F×D/2×πd2=83×103×30/2×π(4.75)2=τ = F×D/2×\pi d² = 83×10³×30/2×π(4.75)² =

8.8×104 Nm8.8×10⁴\ Nm


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!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS