Calculate for spring amount of load carried, Mechanical Engineering

Calculate for spring amount of load carried:

The table below gives specific of a compound spring consisting of two co-axial close-coiled springs. If the spring is subjected to an axial load of 450 N, calculate for each spring

a. the change in length,

b. the amount of load carried, and

c. the maximum shearing stress.

Take G = 80 × 103 N/mm2.

387_Calculate for spring amount of load carried.png

Solution

The free length of outer spring is more than the inner spring by (100 - 80) = 20 mm. Load carried through the outer spring for a deflection of 20 mm is specified by,

Δ= 64 W R3 n / Gd 4

⇒ 20 =     64 × W × 253 × 10 / (80 × 103 × 54)

∴ W1  = 100 N

Now the springs are in parallel. Load to be shared by the two springs

= 450 - 100 = 350 N

Δ= 64 W R3 n / Gd 4

2069_Calculate for spring amount of load carried1.png----------(1)

1435_Calculate for spring amount of load carried2.png

     2397_Calculate for spring amount of load carried3.png  ---------(2)

377_Calculate for spring amount of load carried4.png

⇒         5 Δ + 11.9 Δ= 350

∴          Δ= 20.7 mm

Change in length, Δ= 20.7 mm

1219_Calculate for spring amount of load carried5.png

Load taken by outer spring = 203.5 N.

Load taken by inner spring = 246.5 N.

τ max  =   16 W R  / π d 3

τmax is outer spring =   16 × 203.5 × 25/( π× 53) = 207.3 N/mm

τmax in inner spring =16 × 246.5 × 15/( π× 43) = 294.2 N/mm

∴ Maximum shearing stress = 294.2 N/mm2 (inner spring).

Posted Date: 1/21/2013 1:51:47 AM | Location : United States







Related Discussions:- Calculate for spring amount of load carried, Assignment Help, Ask Question on Calculate for spring amount of load carried, Get Answer, Expert's Help, Calculate for spring amount of load carried Discussions

Write discussion on Calculate for spring amount of load carried
Your posts are moderated
Related Questions
Q. Burner Management - Discrete Controls for steam generators? The burner management system shall control the generator operation during pre-purge, light off, normal operation,

Determine moment of this normal force - rectangular beam: A rectangular beam contains a width of 100 mm and a depth of 200 mm. This is utilized as a simply supported beam & th

Determine the Properties of foundation Soil profile together with natural type and properties of each strata will have a bearing on the choice of foundation. The fact that loa

Draw and also explain the stress strain diagram for the following materials a) Copper b) Ductile Materials c) Rubbers and Elastomers and d) Brittle materials.

Problems to improve the deficirncies of IGES Within the framework of this interface, an attempt was to be made to improve the deficiencies of IGES, SET and VDAFS which have the

Calculate Machining Time and Material Removal Rate A hole of 40 mm diameter and 50 mm depth is to be drilled in a mild steel component. The cutting speed can be taken as 65 m/

Relation between stress and strain: The relation between stress and strain is generally shown by plotting a stress-strain (σ -e) diagram. Stress can be plotted on ordinate (ve

A 1.5m long column has circular cross-section of 5cm diameter. One of the end of the column is fixed in the position and direction and other end is free. Taking factor of safety as


The following specification is used for the design of a flanged coupling between two coaxial shafts: Speed: 650rpm Power transmitted: 550 kW Bolt Diameter: 12 mm Pit