## Find out the strain energy stored, Mechanical Engineering

Assignment Help:

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

#### Neucer power plant , Components &it function?

Components &it function?

#### Brinell hardness test, what is static indentation and dynamic indentation?

what is static indentation and dynamic indentation?

#### Determine concept of hydrostatic sensor paver machine, Determine concept of...

Determine concept of Hydrostatic sensor paver machine A sensor asphalt paver is a machine used to deal out, shape, and partially compact a layer of asphalt on the surface of a

#### Shear force and bending moment diagrams and contra flexure, Draw the shear ...

Draw the shear force and bending moment diagrams for the beams shown in Figures 4 and 5. Also find the maximum shear force, bending moment and the points of contra-flexure

#### Governor, spring combined gravity governor

spring combined gravity governor

#### Newton''s first law of motion - mechanics, Newton's first law of motion: ...

Newton's first law of motion: First law of Newton: It is magnitude of force that develops acceleration of 1 m/s2 in 1 kg mass of the body. The subject of rigid body mecha

#### Measuring instrument, relative motion measuring instrument

relative motion measuring instrument

Q. Seismic Loads For Structure-Mounted Equipment? For equipment mounted in a structure above grade, the governing equation for seismic force is: F p = A v C c Pa c W c , wh

#### Explain the advantages of automation, Explain the Advantages of Automation ...

Explain the Advantages of Automation 1. There is an increase in productivity. 2. The unit cost is reduced as larger number of components can be manufactured in shorter time

#### Angle of twist is zero on the shaft, Angle of twist is zero on the shaft: ...

Angle of twist is zero on the shaft: A shaft 10 m long and 100 mm diameter during its length is fixed at the ends and is subjected to two opposite torques of 8 kN-m and 10 kN-  