Determine the initial radius of curvature, Mechanical Engineering

Assignment Help:

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


Related Discussions:- Determine the initial radius of curvature

determine the minimum cross section area of graph, To design a cantilevere...

To design a cantilevered truss to support the loads shown in the figures, two layouts are proposed as shown in Figs. A and B. All truss members are steel with allowable stress of 2

Piston rings-basic components of engine , Piston Rings: Piston rings (Fig...

Piston Rings: Piston rings (Figure), fitted into the grooves around the piston, provide a tight sealing effect between the piston and the cylinder wall thus preventing leakage of

Orthographic projections, Orthographic Projections: As you learned pre...

Orthographic Projections: As you learned previously about the theory of projection of points, planes and lines, the next significant is the projection of solids that have thre

Metallurgy, Write a literature review on the manufacture and application of...

Write a literature review on the manufacture and application of metallurgical cokes in Nigeria.

Balancing of several masses rotating in different planes, The crank shaft o...

The crank shaft of a high speed pump has a parallel shaft of 2.5 cm diameter and 48 cm in length. It carries three eccentrics each of 6 cm in diameter and uniform thickness of 1.8

Dryness Friction Value, Why dryness fraction are importance for steam power...

Why dryness fraction are importance for steam power plant in terms of safety and economic ?

Determine the fluctuation in rail pressure under one wheel, An inside cylin...

An inside cylinder locomotive has its cylinder centre lines 0.70m apart and has a stroke of 0.60m. Rotating mass per cylinder = 150kg Distance between wheel Centre lines = 1.

Find the time domain equivalent sinusoid, Given these sinusoids: x1(t) = 0....

Given these sinusoids: x1(t) = 0.5cos(25t+20 o ),   x2(t)=0.85cos(25t+160 o ) and   x3(t)= 0.81cos(25t-145 o ) (a) Subplot the phasors X1, X2 and X3 corresponding to the thee si

Fatigue loading on materials, what are the factors that affecting the fatig...

what are the factors that affecting the fatigue behaviour of materials?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd