Determine the initial radius of curvature, Mechanical Engineering

Determine the initial radius of curvature:

 A carriage spring, defiantly loaded and simply supported at its ends, has 12 steel plates each 60 mm wide by 6 mm thick. If the longest plate is 700 mm, determine the initial radius of curvature if the maximum stress is 150 N/mm2 and the plates are ultimately straight.

By neglecting loss of energy at impact, find out the height from which 200 N may be dropped centrally on the spring.   E = 200 GPa.


Simply supported carriage spring :

n = 12

b = 60 mm

t = 6 mm

l = 700 mm

σb = 150 N/mm2

E = 200 GPa = 200 × 103 N/mm2

σ  =  3Wl  / 2 nb t2

∴ W = 3703 N

Δ=  3Wl  / 8 nbt 2 E

=3 × 3703 × 7003/8 × 12 × 60 × 63 × 200 × 103 = 15.3 mm

R0  = l 2/ 8 Δ =7002/ 8 × 15.3 = 4003 mm = 4 mm

U = Change in PE

(½) × 3703 × 15.3 = 200 × (h + 15.3)

∴ h = 126 mm

Posted Date: 1/21/2013 2:00:54 AM | Location : United States

Related Discussions:- Determine the initial radius of curvature, Assignment Help, Ask Question on Determine the initial radius of curvature, Get Answer, Expert's Help, Determine the initial radius of curvature Discussions

Write discussion on Determine the initial radius of curvature
Your posts are moderated
Related Questions
Q. What do you mean by Weld and hold time? Weld time During this period the welding current flows through the circuit, i.e., it enters from one electrode, passes through t

Find out the maximum deflection in beam: A beam of span 8m is loaded with UDL of 10 kN/m over the middle half portion. Discover the maximum deflection. EI is constant. Sol

Define the Types of Clamping Device Clamping screw. Hook bolt clamp. Lever clamp.   a) Bridge clamp. b) Heel clamp. c) Swinging strap clamp. d) Hi

what is cone friction?

Find out angular displacement of a partical: The angular displacement of a rotating body starting from rest is defined by φ (t ) = 4 t 3   - 3 t 2 . Find out its angular di

Polymerization Whether similar molecules join in long chain is termed as polymerization and resulting outcome is a polymer in a chemical reaction. Each plastic are polymers. T

Determine the loss-by-defect and loss-by-dispersion Given, Annual production = 1,00,000 units Specification = 20 ± 4  i.e. m = 20, Δ = 4 Cost of repairing or resetting a

Q. Show Application to Gyroscope? A fiber optic Gyroscope is used to detect the mechanical rotation of the interference of light. Two beams travel along the fiver in opposite d

Resulting structure of steel: Heat treatments as mentioned below are given to thin steel strips for which TTT diagram is as shown in Figure 19. What will be the resulting stru

Find out ratio of strain-energy: A circular rod of diameter d and length l is fixed at one end and a torque T applied at the other. Now, if any close coiled helical spring is