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

Special tool and cleaning of part general service tips , Special Tool: Use...

Special Tool: Use special tools wherever applicable. Special tools are designed to dismantle or assemble a specific part or assemblies without causing damage to them. Cleaning

Clausius statement - thermodynamics, Clausiu s statement: It is impos...

Clausiu s statement: It is impossible to construct this type of H.P. which operates on cyclic process and allows transfer of heat from colder body to a hotter body without th

Engine misfires motorcycle problem, If Engine Misfires Cau...

If Engine Misfires Causes of Problem Remedy Incorrect Electrode gap of spark plug Electrode worn out Foule

Define the advantages of abrasive jet cutting machines, Advantages of Abras...

Advantages of Abrasive Jet Cutting Machines 1. Ability to cut brittle or heat sensitive material without damage. 2. Capability to cut intricate holes in material of any hard

Determine radial and hoop stress, A hydraulic pipe is 20 cm internal diamet...

A hydraulic pipe is 20 cm internal diameter and 5 cm thick. It is needed to sustain an intensities of radial and hoop stress at several radii and plot their variation.

Calculate the minimum required cross-sectional area, A lifting shackle in a...

A lifting shackle in a glass-making factory is made from a special high-temperature stainless steel. It is expected that the shackle will experience a tensile load of 5kN and th

Strength of materials advanced, need help with reports on thin thick and co...

need help with reports on thin thick and combined cylinder theory

Determine mass of air needed for complete combustion, How are fuels divided...

How are fuels divided ? Write disadvantages and advantages of each types. (b) A sample of coal supplied to a boiler has the following composition by mass : Carbon = 88%, Hydr

Stress and deflection analysis in i-beam, You are required to formulate the...

You are required to formulate the loading and boundary conditions using the FE code and evaluate the stress distribution and end deflection of the beam using the ABAQUS code and vi

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