## Determine the axial extension along a load, Mechanical Engineering

Assignment Help:

Determine the axial extension along a load:

An open coiled helical spring is created having 10 turns of a mean radius of 60 mm. The wire diameter is 10 mm and coils make an angle of 38o along a plane perpendicular to the axis of the coil. Determine

(1) the axial extension along a load of 200 N,

(2) the angle of rotation of free end.

E = 200 GPa, G = 80 GPa.

Solution

n = 10, R = 60 mm, d = 10 mm, α = 38, E = 200 GPa, G = 80 GPa

(a) Axial Extension

Δ= 64 W R3 sec α/d4 ( cos2 α/G +2 sin 2 α /E)

=64 (200) (60)3 (10) sec 30 / 104 ((cos2 30/80 × 103)) + (2 sin 2 30 /200 × 103 ))  = 36.7 mm

(a) Angle of Rotation at Free End

φ= 64 W R3 sin α/d4 ((1/G -  2/E))

=64 (200) (60)3 (10) sec 30/104 ( 1/ (80 × 103)  - 2/ (200 × 103)) = 0.0567 radian

#### Determine the value of maximum bending moment, Determine the value of maxim...

Determine the value of maximum bending moment: Draw the shear force & bending moment diagrams for the beam overhanging on both of sides as illustrated in Figure. Determine the

#### Group technology, Limitations of G T

Limitations of G T

#### Gantry crane, A gantry crane shown in figure above acts an auxiliary to...

A gantry crane shown in figure above acts an auxiliary to bridge cranes. It is provided with wheels and can be moved from open place to another as per requirements.

#### Determine the number of bolts required, The following specification is used...

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

#### Welding processes, Q. Show the Welding processes The following welding ...

Q. Show the Welding processes The following welding processes are permitted: Shielded Metal-Arc Welding (SMAW) - Do not use SMAW for the root pass of single side groove we

#### Calculate the internal pressure, A pressure vessel is to be treated to ge...

A pressure vessel is to be treated to generate compressive residual stresses on it inner surface. This involves increasing the pressure until taking 75% of the wall thickness goe

#### Find the laplace transform, Find the Laplace transform of the following dif...

Find the Laplace transform of the following differential equation: ? +3? +6x = 0, x(0) =0, ?(0)=3 Taking the inverse Laplace transform of X(s), obtain the time solution x(t).

#### Cycle of operation of four-stroke spark ignition engine, With neat diagram ...

With neat diagram illustrate the cycle of operation of four-stroke spark ignition engine. In what respects four-stroke cycle CI engine differ from that of SI engine ?

#### Industrial manufacturing activity, Industrial Manufacturing Activity can br...

Industrial Manufacturing Activity can broadly be divided into the followings ways: Mass Production Large lots e, g, Automobiles : In this the volume of production is very hi

#### Necessity of transmission system , Necessity of Transmission System ...

Necessity of Transmission System The main purpose of Transmission system is to provide a means to vary the torque ratio between the engine and the road wheels. It means th  