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

Mechanical vibrations, The suspension system of a car is modelled as having...

The suspension system of a car is modelled as having an effective stiffness of 5x10 6 (N/m) and an effective mass of 750 (kg). The car is travelling over a road with bumps that ca

Does the selected system meet the requirements, Does the selected system me...

Does the selected system meet the requirements of the application (building purging, make-up air, filtration, ventilation)? Is the system suitable for the intended building usag

Limit of proportionality, Limit of proportionality: Limit of proporti...

Limit of proportionality: Limit of proportionality is the stress at which the stress - strain diagram ceases to be a straight line that is, stress at which the extension ceas

What do you mean by filler metals, Q. What do you mean by Filler metals? ...

Q. What do you mean by Filler metals? Use filler metal that is similar in chemistry, corrosion resistance, and mechanical properties of the base metal being welded. Filler m

Cutting technology., can you explain about merchant circle,cutting forces

can you explain about merchant circle,cutting forces

Calculation for stress-strain carves, Calculation for Stress-strain carves:...

Calculation for Stress-strain carves:   After reaching point D, if bar is strained further, a local reduction in cross section occurs in gauge length (that is, formati

Gas turbine, what is the affect of ambient temperature on the performance o...

what is the affect of ambient temperature on the performance of GAS turbine

Determine of poissons ratio, a) Show that if E is assumed to be correctly c...

a) Show that if E is assumed to be correctly calculated, an error of 1% in the evaluation of C will involve an error of about 6% in the determine of Poisson's ratio when its correc

Plasma welding, PLASMA WELDING This is an extension of TIG welding. In...

PLASMA WELDING This is an extension of TIG welding. In plasma welding torch, plasma energy is constricated and ensures its most efficient utilisation for welding cutting and s

Explain introduction of radial drilling machine, Explain introduction of  ...

Explain introduction of  Radial Drilling Machine Machine Name: - Radial Drilling Machine Radial Drilling machine is a machine fitted with a rotating cutting tool known as dr

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