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.

Solution

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
CO2 Welding CO2 Welding is a variation of GMAW. Here the inert gas is replaced by gas mixtures or carbon dioxide, which are chemically active. The carbon dioxide decomposes in

Advantages of Laser Welding Process   1) Narrow deep penetration welds capable of being produced in atmosphere. 2) Low thermal distortion - due to less heat input and paral

Let consider the breakwater configuration shown in the figure below. The incident wave conditions at the breakwater are a wave height of 1.5m, wave period of 7.0s and a wave crest

(a) What are the types of material used for making spanners? What are the uses of spanners? (b) Write down the uses of following tools and make neat sketches of the same : (i

Welding transformer The resistance welding transformers step down the line tune of 2 to 20 V. The primary is connected to the line supply and is made from edge bent copper stri

Calculate mean effective pressure of engine: A 4 stroke diesel engine is having length of 20 cm and diameter of 16 cm. The engine is generating indicated power of 25 KW when

A body is subjected to two harmonic motions as given below : X 1 = 15 sin (wt + 30 0 ) and X 2 = 8 cos (wt + 60 0 ). What harmonic motion should be given to the body to bring


Q. Requirements for vessels with thickness? The following additional requirements are applicable, as specified,  to Carbon Steel and Low Alloy steel pressure vessels with main

In an orthogonal cutting test with a tool of rake angle 10 degree , the following observations were made. 20 Chip thickness ratio = 0.3 Width of cut = 6mm Uncut chip thicknes