Thrust diagrams for the beam, Mechanical Engineering

Assignment Help:

Thrust diagrams for the beam:

Illustrate the shear force, bending moment & thrust diagrams for the beam illustrated in Figure

2140_Thrust diagrams for the beam.png

Figure

Solution

Vertical component of 4 kN at C, = 4 × sin 45o = 2.828 kN ( ↓ )

 Horizontal component of 4 kN at C, = 4 × cos 45o = 2.828 kN ( → )

Vertical component of 3 kN at D, = 3 × sin 60o = 2.598 kN ( ↓ )

Horizontal component of 3 kN at D, = 3 × cos 60o = 1.5 kN ( ← )

Taking moments around B,

RB  × 10 - 5 × 7.5 - 2.598 × 6 - 2.828 × 2 = 0

RB  = 5.8744 kN

RA  = 2.828 + 2.598 + 5 - RB  = 10.426 - 5.8744

RA  = 4.5516 kN

Shear Force (Beginning from the Left End A)

SF at A, FA  =+ 4.5516 kN

SF just left of C, FC  =+ 4.5516 kN

SF just right of C, FC  =+ 4.5516 - 2.828 =+ 1.7236 kN

SF just left of D, FD  =+ 1.7236 kN

SF just right of D, FD  = + 1.7236 - 2.598 = - 0.7844 kN

SF just left of E, FE  =- 0.8744 kN

SF just right of E, FE  =- 0.8744 - 5 =- 5.8447 kN = Reaction at B.

Bending Moment (Beginning from the Right End B)

BM at A and B,          MA = MB = 0

 BM at E, M E  = + (5.8744 × 2.5) = + 14.686 kN-m

BM at D, M D  = + 5.8744 × 4 - 5 × 1.5 = + 15.9976 kN-m

BM at C, M C  = + (4.5516 × 2) = + 9.1032 kN-m  (considering left side)

Maximum Bending Moment

It shall occur at D where SF changes sign.

Thus, M max  = + 15.9976 kN-m

Thrust Diagram

 Let us find out the horizontal reaction at A (being a hinged end).

∑ H = 0

+ H A - 2.828 + 1.5 = 0

∴          H A = 1.328 kN

The section AC is subjected to 1.328 kN (tensile force).

The section CD is subjected to 1.5 kN (compressive force).

∴          (2.828 - 1.328 = 1.5)


Related Discussions:- Thrust diagrams for the beam

Cross drainage works, Cross Drainage Works: Culverts A large ...

Cross Drainage Works: Culverts A large number of culverts are needed for taking care of the streams crossing the railway lines. The culverts can be one of the followi

Determine the residual plastic strain in the members, As part of the fitti...

As part of the fitting of the mooring lines to a wave energy device, the pin-jointed structure shown in Figure Q is to be subjected to a small degree of plastic deformation by appl

Martempering, Martempering: The piece to be hardened is wholly austen...

Martempering: The piece to be hardened is wholly austenitized and after that quenched in a lead of salt bath held at a temperature simply above at that martensite would begin

Physics, Explain the super position of waves with neat diagrams

Explain the super position of waves with neat diagrams

Cad - requirements for standard interface, Requirements for Standard Interf...

Requirements for Standard Interface  The interface must be capable of handling all kinds of manufacturing data. There should be no information loss when data is transf

Maximal conductances and reversal potentials, By introducing their model of...

By introducing their model of neural excitability in 1952, Alan Lloyd Hodgkin and Andrew Huxley not only shed light on the mechanism underlying a very important phenomenon in Physi

Painting of structural components of skid, Q. Painting of structural compon...

Q. Painting of structural components of skid? Sandblasting and priming shall be carried out prior to assembly, and shall include all bolt holes, flange faces, etc. Flange gaske

Steps of servicing- important points to remember, The water jet should not ...

The water jet should not directly fall on speedometer, spark plug, steering cone race and electrical connections. During washing there is a possibility of water entry below the sea

Bending stress in curved beams, aframe of punching machine and its varios d...

aframe of punching machine and its varios dimentions. if it has force of85kN determine others

Process of corrosion in bfw tank, Q. Process of Corrosion in BFW Tank? ...

Q. Process of Corrosion in BFW Tank? The feed to the BFW Tank is hot and will be flashing when it enters the tank. The vapours will be corrosive when the tank is open to atmosp

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