Calculate the vertical deflection - cantilever, Mechanical Engineering

Assignment Help:

Calculate the vertical deflection:

Calculate the vertical deflection at the tip of the cantilever shown in Figure

88_Calculate the vertical deflection.png

Figure

Solution

Measuring the distance x from the free end, the bending moment at a section distant x through the tip is given as

                                             M =- Px

Then,

2362_Calculate the vertical deflection1.png

Therefore, the vertical deflection below

P =∂U/∂P= PL3/3EI

The positive sign indicate that the deflection is in the direction of P, that means downwards.

 It might be seen that ∂U/∂P might be written as follows :

626_Calculate the vertical deflection2.png

where

 - Px / EI = M /EI  and  - x = ∂M / ∂P


Related Discussions:- Calculate the vertical deflection - cantilever

Bolt Group Bending Moment, What is the Maximum bolt bending moment in a gro...

What is the Maximum bolt bending moment in a group for four equally spaced bolts?

What do you mean by alloys, Q. What do you mean by Alloys? Metallic mat...

Q. What do you mean by Alloys? Metallic materials that contain alloying elements, including chromium (Cr), cobalt (Co), Columbium or niobium (Cb or Nb), copper (Cu), iron (Fe),

Electronice , What is The Tunnel Diode and the Current Regulator Diode?

What is The Tunnel Diode and the Current Regulator Diode?

GOVERNOR, IN CASE OF WILSON HARTNELL GOVERNOR THERE TWO MAIN SPRINGS AND TH...

IN CASE OF WILSON HARTNELL GOVERNOR THERE TWO MAIN SPRINGS AND THERE ARE ONE AUXILIARY SPRING. AND NATURE OF SPRINGS ARE TENSION ALWAYS HOW IT CAN POSSIBLE? WHEN SLEEVE WILL MOVE D

Explain about postweld heat treatment, Q. Explain about Postweld Heat Treat...

Q. Explain about Postweld Heat Treatment? Pressure vessels shall be postweld heat treated per applicable sections, in accordance with applicable material specifications or when

Belt drive, how will u designate a v belt

how will u designate a v belt

Explain the hydrostatic pressure, Explain the Hydrostatic Pressure Hydr...

Explain the Hydrostatic Pressure Hydrostatic Pressure also called Pressure because of Depth of a Fluid. It is required to define the pressure exerted by a static fluid column o

Hot pressing-manufacturing methods of ceramics, Hot Pressing This pres...

Hot Pressing This pressing requires application of pressure throughout sintering. In usual understanding hot pressing comprises in applying a unidirectional pressure via the a

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