Find out the strain energy stored, Mechanical Engineering

Find out the strain energy stored:

A close coiled spring is subjected into an axial moment of 16 N-m. If the spring contains 15 coils with wire diameter of 10 mm and mean coil radius of 10 cm. Find out the following:

(a) the strain energy stored,

(b) maximum bending stress,

(c) axial twist.

 Take E = 200 GN/m2.

Solution

M  = 16 N-m = 16 × 103  N-mm , n = 15, d = 10 mm, R = 100 mm,

l = 2 π R n = 2π × 100 × 15 = 9434.8 mm , I = (π/64) d 4  = (π/64) (10)4  = 490.9 mm4

(a)   U = M 2 l / 2 EI = ((16 × 103)2 × 9424.8)/ (2 × (200 × 103) (490.9)) = 12287.4 N-m = 12.3 N-m

(b)   σ= 32 M / π d 3  =32 × 16 × 103 / π × 103 = 163 N/mm2

(c)    U =( 1 /2 )M φ

⇒ 12.3 = (1 /2)× 16 × φ

∴          φ = 1.54 rad

Posted Date: 1/21/2013 1:20:23 AM | Location : United States







Related Discussions:- Find out the strain energy stored, Assignment Help, Ask Question on Find out the strain energy stored, Get Answer, Expert's Help, Find out the strain energy stored Discussions

Write discussion on Find out the strain energy stored
Your posts are moderated
Related Questions
Type of strain: There are basically four type of strain 1. Tensile strain 2. Compressive strain 3. Volumetric strain 4. Shear strain

Heat Pump - thermodynamics: Heat Pump: Heat pump is reversed heat engine that removes heat from a body at low temperature and transfer heat to the body at higher temperature

What is Wire-frame Wire-frame models use the simplest data structures and they are ambiguous. Wire frame is a well-known example that consists of 16 vertices and 32 edges. We

Q.   State and briefly explain the various phenomena useful for electromechanical energy conversion in rotating machines.   Sol. In the rotating machines there are mainly tw

Find out the deflection: Find out the deflection (vertical) at a distance 'a' from the tip in Example Solution As in this case there is no load at the point where the

i am try to make a vacuum tube oscillator for a larger project but i need help where to find the supplies for it where can i find them

Water flows into the sink shown in figure 5 at a flow rate of 8 L/min. If the drain is closed, the water will eventually flow through the overflow drain holes rather than over the

Which of the following is an open pair?

Cooling of storage tanks: A research involving using a bench top scale wind tunnel to investigate heat losses from storage tanks. A series of small scale model tanks have bee

Direct Current Using direct current, the tungsten electrode may be connected to either the negative or the positive terminal of the supply of power. In almost all cases, ele