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

calculate the shear stress and angle-open square tube, The open square tub...

The open square tube is subjected to the torque T= DEF Nm as shown in Fig Q2. The tube has the length 1m and wall thickness 5mm. a)  Calculate the shear stress and angle of

Drag link mechanism, why there is a different angular velocity in the two c...

why there is a different angular velocity in the two cranks of a drag link mechanism?

Temperature measurement by using thermometers, T emperatur e Measurement ...

T emperatur e Measurement by Using Thermometers: To measure temperature at temperature scale should be devised assigning arbitrary numbers to a known specific level of hotne

Theory of machines, What'' is balancing and vibration in machines Need of ...

What'' is balancing and vibration in machines Need of balancing? Causes of vibration and their harmful effects and remedies?

Hydraulic circuit simulation using Automation Studio, hey ...!!!! i am loo...

hey ...!!!! i am looking for hydraulic car lift circuit diagram. can any 1 plzzz help me did this?

Problems on structural design of combined footings, Problems on Structural ...

Problems on Structural Design of Combined Footings a. Two columns 50 cm x 50 cm in size support service loads of 1200kN and 800kN.The centre to centre spacing between columns

Find out the centre of gravity of a wire, Find out the centre of gravity of...

Find out the centre of gravity of a wire: Find out the C. G. of a wire of uniform cross-section bent into shape of a semicircle as illustrated in Figure. Solution

What are relevant design considerations, What are relevant design considera...

What are relevant design considerations? The relevant design considerations may be summarized as follows: a. Main reinforcement (uniformly distributed) is placed in a longit

Explain the evaluation phase of auger shaft, Explain the Evaluation Phase o...

Explain the Evaluation Phase of auger shaft Evaluation Phase of auger shaft Steps: 1. To judge the ideas generated in the creation phase for ability to meet the required

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