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

σ_b = 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

Ask an Expert

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

Write your message here..

Related Questions

Cam-follower, which software can model the conjugate cams-follower? which software can model the conjugate cams-follower?

What is the role of mis in decision making, Can you explain about MIS ? Wha... Can you explain about MIS ? What is the role of MIS in decision making ? Illustrate standardization, specialization and simplification in product design and development.

Coefficients of friction, Coefficients of friction: The coefficients o... Coefficients of friction: The coefficients of friction under the sliding supports of the door in Figure are equal to 0.30 at A and 0.20 at B. What forces P shall give the 25 k

What is plain concrete footing, What is Plain Concrete Footing? Plain C... What is Plain Concrete Footing? Plain Concrete Footing: Footings carrying relatively light loads are constructed with plain concrete. You have already seen a plain concrete

What is upr, What is UPR Novel architecture for complete CAD data excha... What is UPR Novel architecture for complete CAD data exchange, called the Universal Product Representation (UPR).

Masonry arch culverts, Masonry Arch Culverts: Brick or stone masonry ... 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

Types of dies, #Double action dies #Double action dies

Calculate the magnitudes of the force, The end gates of a lock are 5m high ... The end gates of a lock are 5m high and when closed include an angle of 120 o . The width of the lock is 6.25 m. Each gate is carried on two hinged placed at the top and the bottom

Illustrate the types of special foundations, Illustrate the Types of specia... Illustrate the Types of special foundations Special foundations find use under following situation: i)  To meet the demands that are arising from uncommon environmental cond

Introduction to welding processes, INTRODUCTION TO WELDING PROCESSES We... INTRODUCTION TO WELDING PROCESSES Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by he