Thrust diagrams for the beam, Mechanical Engineering

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)

Posted Date: 1/22/2013 1:14:49 AM | Location : United States







Related Discussions:- Thrust diagrams for the beam, Assignment Help, Ask Question on Thrust diagrams for the beam, Get Answer, Expert's Help, Thrust diagrams for the beam Discussions

Write discussion on Thrust diagrams for the beam
Your posts are moderated
Related Questions
WELDING PROCEDURE AND PERFORMANCE QUALIFICATION A total quality assurance scheme, embracing all aspects of manufacture would have necessarily made all attempts to ensure

The following steps are taken to decarbonise the engine : Remove the exhaust muffler. Disconnect the spark plug. Remove the intake pipe bolt. Loosen the bolt de

Q. Describe the term ‘Critical Insulation thickness'. What is its significance? Derive an expression for the critical insulation radius of a spherical system. A bar of square cr

of which material parts of ice engine are made?

Determine the maximum value of the coefficient of friction: A force of 200 N inclined at 60 o to the horizontal is applied to the block A weighing 400 N. find out whether blo

example of 2nd corollary of first law of thermodynamics

Explain with the aid of a sketch how a rotary vacuum (ROVAC) filter works. Derive describing equations to predict the ROVAC's filtration performance in terms of the effect of drum

A Perspex tank ure 1), which has parallel sides for the top part of its height and a 'V' shaped section for the bottom part and a constant width throughout, is used as a receptacle

how do you differentiate between wet steam and dry steam?

Find out horizontal and vertical components of hinge force: The frame shown in Figure is supported by a hinge at E and a roller support at D. Find out horizontal and vertical