Determine reactions force, Mechanical Engineering

Determine reactions force:

Three sphere A, B and C weighing 400N, and 200N and having radii 400mm, 600mm and 400mm respectively are placed in trench as shown in the figure given below. Treating all contact surfaces as smooth, determine reactions developed

148_Determine reactions force.png

.: From the figure given below

Sinα   = BD/AB = (600 - 400)/(400 + 600) = 0.2

= 11.537° Referring to FBD of sphere A (Fig a)

R2cosα  = 200

R2  = 200/cos11.537° = 204.1 N         .......ANS

And R1  - R2sinα    = 0

R1  = 40.8N                                               .......ANS

Referring to the FBD of sphere C,

Sum of forces parallel to the inclined plane = 0

R4cosα  - 200cos45° = 0

R4  = 144.3 N                                           .......ANS

Sum of forces perpendicular to the inclined plane = 0

R4cos(45 -α  ) - R3cos45° = 0

R3  = 170.3N                                             .......ANS

Refer to FBD of cylinder B (as shown in figure)

V = 0

R6sin45° - 400 - R2cos   - R4cos (45 + α   ) = 0

R6sin 45° = 400 + 204.1 cos11.537° + 144.3cos56.537°

R6 = 961.0 N                                           .......ANS

H = 0

R5  - R2sin   - R4sin (45 +α   ) - R6cos45° = 0

R5 = 204.1 sin11.537 + 144.3sin56.537 + 961.0cos45°

R5 = 840.7 N                                           .......ANS

 

Posted Date: 10/16/2012 6:05:27 AM | Location : United States







Related Discussions:- Determine reactions force, Assignment Help, Ask Question on Determine reactions force, Get Answer, Expert's Help, Determine reactions force Discussions

Write discussion on Determine reactions force
Your posts are moderated
Related Questions
Grease Gun: A grease gun is shown in Figure. This is used to supply semi-solid lubricant (grease) for chassis lubrication. Figure : Grease Gun

Computer-Aided Design (CAD) CAD is used in design and development of new products in a diversity of applications both at commercial/industrial and on a home basis. Illustration

Seismometer : this is a transducer in which signal is proportional to the displacement. Accelerometer : This is a transducer in which signals is proportional to the a

what is the importance of stress analysis in steels

Ask question #Minimum 100 whow to detect the presence of 2nd group basic radicals ?ords accepted#

State the Product Data Exchange Specifications In May 1984, a late night meeting of the IGES Organization Edit Committee was held. The outcome: the Boeing representative was

Illustrates the concept of bearing capacity of soil? The concept of bearing capacity of soil is the very essence of design and analysis of shallow foundations. In order to inve

The end plate of a tube is made from 4mm thick steel plate as seen in the figure below. If a 30mm diameter rod welded to the plate is subjected to a force of 10kN, what would be th

STATE - Thermodynamics: The State of system is its condition or configuration described in detail. State is the condition of the system which is identified by thermodynamic