Determine the elongation of plate, Mechanical Engineering

Assignment Help:

Determine the elongation of plate:

Q: A steel bar AB which is having uniform thickness 2 cm, tapers from 1.5 cm to 7.5 cm uniformly in a length of 50 cm. From 1st principles determine the elongation of plate; if axial tensile force of 100 kN is applied on it. [E = 2 x 105 N/mm2]

Sol.: Consider small element of length dx of plate, at a distance x from larger end. Then at this section,

Width wx=   1667_Determine the elongation of plate.png 

Cross-section area A = thickness × width =  236_Determine the elongation of plate1.png 

1061_Determine the elongation of plate3.png



100_Determine the elongation of plate2.png


∴ Elongation of elementary length,
925_Determine the elongation of plate4.png 
The total change in length of plate can be worked out by integrating above identity between the limits  x = 0 and x = 400 mm. That is:
1567_Determine the elongation of plate5.png 


Related Discussions:- Determine the elongation of plate

Explain the end cutting edge angle, Explain the End Cutting Edge Angle ...

Explain the End Cutting Edge Angle It is an angle between the face of the tool and the plane perpendicular to side of shank. It acts as relief angle that is allows only small s

Computer integrated manufacturing, the component of computer integrated man...

the component of computer integrated manufacturing with the diagram

Calculate the normal time for this operation, a) Describe Industrial Engine...

a) Describe Industrial Engineering. Discuss its scope and use in service and manufacturing industries. b) Deriving the stop watch study in a machine shop, ten observation of a d

Second gear position- shifting of gear, Second Gear Position: When ge...

Second Gear Position: When gear M2 on the main shaft is in mesh with gear C2 on the countershaft then this is known as second gear position. To rotate free gear M2 with the m

Design of the plc ladder and profibus - asi network, 1 Prepare an updated s...

1 Prepare an updated sketch of the electro-hydraulic system shown in Figure showing the actuators in their start position appropriate to your allocated actuator sequence. 2 By u

Lubrcants, what is the difference between mineral and vegetable oils in ter...

what is the difference between mineral and vegetable oils in terms of oiliness and oxidization?

List and explain the five stages of change, List and explain the five stage...

List and explain the five stages of change. What stage are you at in regards to your own exercise program and explain why? (50-100 words) Refer to page 4 of The Essential Guide to

Explain the tool signature, Explain the Tool Signature The tool angles ...

Explain the Tool Signature The tool angles have been standardized by the American standards association. The seven important elements comprise the signature of the cutting tool

Brittle material, hello. what is the shape of the fractur of brittle materi...

hello. what is the shape of the fractur of brittle material after applied th tensil test.

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