Determination of reaction at the support beam, Mechanical Engineering

Determination of Reaction at the Support beam:

Draw a SFD & BMD for the beam illustrated in Figure

1534_Determination of Reaction at the Support beam.png

Figure

Solution

Determination of Reaction at the Support B

Letting left side, take moments around A,

R B   × 12 - 7.2 × 3 × (12 + (3/2) )+ 15.6 - ((1/2) × 12 × 7.2 × (2/3) × 12 ) = M

M A = 12 RB  - 621.6

Letting right side, take moments around A,

M A  = - (15.2 × 3) + 24 = - 21.6 kN-m

Equating these two equations,

12 RB  - 621.6 = - 21.6

12 RB  = 600

RB  = 50 kN

∴          R A  = 15.2 + ((½) × 12 × 7.2 ) + (7.2 × 3) - RB = 80 - 50 = 30 kN

Shear Force (Starting from the Left End A)

 SF at C, FC  = - 15.2 kN

SF just left of A, FA  = - 15.2 kN

SF just right of A, FA  = - 15.2 + 30 = + 14.8 kN

SF just left of B, F B   = + 14.8 - ( (1/2) × 12 × 7.2 ) =- 28.4 kN

SF just right of B, FB  =- 28.4 + 50 =+ 21.6 kN

SF at F,   FF   =+ 21.6 - (7.2 × 3) = 0

Bending Moment (beginning from the Right End F)

BM at F,          MF = 0

BM just right of E, M E =- ( 7.2 × 1 ×( ½) )  = - 3.6 kN-m

BM just left of E,  M E  = - 3.6 + 15.6 = + 12 kN-m

BM at B, M B  = (7.2/2) × 3 × 3 ) + 15.6 = - 16.8 kN-m

BM at A, M A =- (15.2 × 3) + 24 =- 21.6 kN-m  (considering left side)

BM at C,         MC = 0

 BM just left of D, M D = - 15.2 × 1 = - 15.2 kN-m

BM just right of D, M D  = - 15.2 + 24 = + 8.8 kN-m

Posted Date: 1/22/2013 1:12:06 AM | Location : United States







Related Discussions:- Determination of reaction at the support beam, Assignment Help, Ask Question on Determination of reaction at the support beam, Get Answer, Expert's Help, Determination of reaction at the support beam Discussions

Write discussion on Determination of reaction at the support beam
Your posts are moderated
Related Questions
Q. What do you mean by Thermosetting plastics? This plastic undergoes a number of chemical changes on heating and cure to infusible and practically insoluble articles. The chem

What do you mean by thermodynamic equilibrium? Compare irreversible process with reversible process. Give some examples of irreversible process.

Q. Explain the protocol for stress testing? The protocol for stress testing should be structured to include the following: 1) Continuous ECG monitoring. 2) Hard copy ECG


Lap or fillet joint Lap joint is obtained by overlapping the plates and welding their edges. The fillet joints may  be single transverse fillet, double transverse fillet or par

Define the nature of force in a member of truss: How can you define the nature of force in a member of truss? Sol.: We know that whenever force is applied on a cross se

For fan installation detail and indicate correct structural components, drip pan, acoustical and thermal insulation. Provide special acoustical curbs for critical areas. Chec


why stress distribution diagram is different for I section, T section andcircular section?

What is a newton ring excrement