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
Objective: After studying tools and equipment, you should be able to list various tools, measuring equipment required in a motorcycle workshop, and identify and use ap

Classification of dynamometers, with thein neat sketch with working ?

Hinged Support: Hinged (Pin) Support: At hinged end, beam cannot move in any direction support will not develop any resisting moment, but it can develop reaction in any of t

maximum coefficient of friction in metal forming

Masonry Arch Culverts: Brick or stone masonry arches were very popular forms for culverts till recently. The disadvantage with this form is the unavoidable humps in the longi

This is to determine the best possible angle to reduce aerodynamic drag. Mesh is to use tetrahedron of 0.5m wide.  I need the mesh generation and solver control on ansys 11.0. I al

Airport Layout: The main components of an airport are: (a)        Runways (b)       Taxiways (c)        Apron (d)       Terminal area (i)        Terminal build

Q. Portable Gas Cylinders - Handling of Hazardous? Portable Gas Cylinders Portable gas cylinders are vulnerable to fire exposure when located in process areas. Depending on l

After trial if oil seal found still leaking: Dismantle engine and check crank shaft for run out which should not be more than 0.10 mm.

Q.  The area of the hysteresis loop of a given magnetic material is 50cm 2 with the two axes scaled as 1cm = 20AT and 1cm = 50mWb, for 50Hz frequency find the total hysteresis