Evaluate the reactions at hinge and roller support, Mechanical Engineering

Assignment Help:

Evaluate the reactions at hinge and roller support:

Q: A Force P = 5000N is applied at centre C of beam AB of length 5m as shown in figure given below. Find the reactions at hinge and roller support.                                                                                                       

Sol.: Hinged at A and Roller at point B, FBD of beam is as shown in the figure given below

 

930_Evaluate the reactions at hinge and roller support.png

∑H = 0

RAH  -5000cos30° = 0

RAH = 4330.127N                                       .......ANS

∑V = 0

RAV  + RBV  -5000sin30° = 0

RAV  + RBV = 2500N                                                                                                        ...(i)

By taking moment about B:

∑MB = RAV  × 5 - 5000 sin30° × 2.5 = 0

RAV = 1250N                                               .......ANS

From the equation (i)

RBV = 1250N                                               .......ANS

 


Related Discussions:- Evaluate the reactions at hinge and roller support

Carnot theorem and efficiency - thermodynamics, Carno t Theorem: No h...

Carno t Theorem: No heat engine operating in cycle between the two given thermal reservoir, having fixed temperature can be more efficient than reversible engine operating be

Module site installation preparation, Q. Module Site Installation Preparati...

Q. Module Site Installation Preparation? The following tasks shall be accomplished at the Facility site prior to setting the modules on the piles: After module support piles

Probability, Airlines like to overbook their flights (this is a vibrant are...

Airlines like to overbook their flights (this is a vibrant area of research called yield management). It is estimated that 10% of the people who book their flight do not show up. H

#strength of material, State elongation of a conical bar due to its self we...

State elongation of a conical bar due to its self weight?

Pulsed dc welding, Pulsed DC Welding Pulsed DC involves the repetitive ...

Pulsed DC Welding Pulsed DC involves the repetitive variation in arc current from a background (low) value to a peak value. Adjustments of the pulse current time, background cu

Hermite curve, A hermite curve passes through the points (1,0), (0.866, 0.5...

A hermite curve passes through the points (1,0), (0.866, 0.5), (0.5, 0.866), (0,1) which are parameterized at u=0,0.25,0.75,1 respectively. determine geometric coefficient of the c

ETD, Proof that energy is a property of system

Proof that energy is a property of system

Determine the relative error in the function, Determine the relative error ...

Determine the relative error in the function y = ax 1 m1 x 2 m2 ........x n mn If u = 4x 2 y 3 / Z 4 and error in x, y, z be 0.a, compute the relative maximum error in u ta

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