Calculate the support reaction, Mechanical Engineering

Assignment Help:

Calculate the support reaction:

Q: A beam 8m long is hinged at point A and supported on rollers over smooth surface inclined at 300 to horizontal at point B. The beam is loaded as shown in the figure given below. Determine the support reaction.

 

1459_Calculate the support reaction.png

 

Sol.: Free body diagram is as shown in the figure given to us

∑H = 0

RAH + 8 cos45° - Rsin30° = 0

0.5 RB - RAH = 5.66                                                                                                                                 ...(i)

∑V = 0

RAV  -10 - 8 cos45° - 10 + RB cos30° = 0

RAV  + 0.866 RB = 25.66                                                                                                                            ...(ii)

Taking moment about A:

∑MA = 10 × 2 + 8 cos45° × 4 + 10 × 7 - RB cos30° × 8= 0

RB = 16.3KN                                                                  .......ANS

From the equation (ii)

RAV = 11.5KN                                                                  .......ANS

From the equation (1)

RAH = 2.5KN       .......ANS 

 


Related Discussions:- Calculate the support reaction

Cycle, defference between rankine and cornot cycle

defference between rankine and cornot cycle

Mass balances on systems, To make strawberry jam, a two-stage process is us...

To make strawberry jam, a two-stage process is used as shown in the figure.  First, crushed strawberries and sugar are mixed in a 45:55 ratio by mass. Then the mixture is heated to

Bond, What is bond and the types..

What is bond and the types..

Shear force and bending moment, question no 2,page no 84 of strenght of mat...

question no 2,page no 84 of strenght of materials by G H Ryder

Grinding wheels, Grinding Wheels Implicated to be rotated at relativel...

Grinding Wheels Implicated to be rotated at relatively high rotational velocities within grinding machines, grinding wheels contain a surface of rotation about a central axis.

Determine the value of maximum bending moment, Determine the value of maxim...

Determine the value of maximum bending moment: Draw the shear force & bending moment diagrams for the beam overhanging on both of sides as illustrated in Figure. Determine the

Why we need ambient air temperatures, Q. Why we need Ambient Air Temperatur...

Q. Why we need Ambient Air Temperatures? Climatic temperatures and humidity conditions will have an impact on the type of equipment selected for the plant. A type of "wind c

What is blow molding, Q. What is Blow molding ? Blow molding has been u...

Q. What is Blow molding ? Blow molding has been used for making plastic bottles, toys, doll bodies and many other items. The blow molding commences with the extrusion of the t

Find the resultant hydrostatic force, Question. Consider the triangular lam...

Question. Consider the triangular laminar D for given b and h shown below. (a) Find x L (s) and x R (s), the left and right ends of the elementary strip, of thickness ds, 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