Draw bending moment diagram for the beam, Mechanical Engineering

Assignment Help:

Draw bending moment diagram for the beam:

A cantilever beam carries a uniformly distributed load of 2 t/m over the total length of 6 m and point loads of 5 t, 3 t, 7 t & 2 t at a distance of 2 m, 4 m, 5 m, & 6 m, respectively from the fixed end. Draw BMD & SFD for the beam.

Solution

Reaction at the support A, RA = + 5 + 3 + 7 + 2 + (2 × 6) = 29 t

Shear Force : Starting from end A, SF at A, RA = 29 t

SF just left of C = + 29 - 2 × 2 = + 25 t

SF just right of C = + 25 - 5 = + 20 t

SF just left of D = + 20 - 2 × 2 = + 16 t

SF just right of D = + 16 - 3 = + 13 t

SF just left of E = + 13 - 2 × 1 = + 11 t

SF just right of E = + 11 - 7 = + 4 t

SF just left of B = + 4 - 2 × 1 = + 2 t

SF just right of B = + 2 t        (considering right side)

763_Draw bending moment diagram for the beam.png

Figure

Bending Moment : Starting from B,

 BM at B, MB = 0

BM at E, ME = - 2 × 1 - 2 × 1 × (½) = - 3 t m

BM at D, MD = - 2 × 2 - 7 × 1 - 2 × 2 ×(2/2) = - 15 t m

BM at C, MC  = - 2 × 4 - 7 × 3 - 3 × 2 - 2 × 4 ×(4/2) = - 51 t m

BM at A, MA = - 2 × 6 - 7 × 5 - 3 × 4 - 5 × 2 - 2 × 6 ×(6/2) = - 105 t m.


Related Discussions:- Draw bending moment diagram for the beam

Alloy steels, Alloy Steels: Carbon steels in their commercial forms al...

Alloy Steels: Carbon steels in their commercial forms all times comprise specific amounts of other elements. A lot of of these elements enter the steel from the ores and it is

What do you mean by moulding materials, Q. What do you mean by Moulding mat...

Q. What do you mean by Moulding materials? Various types of materials are used in the foundries for the manufacture of casting moulds and cores. These materials are divided in

Thermodynamics, Convert the following readings of pressure to KPa absolute,...

Convert the following readings of pressure to KPa absolute, assuming that the barometer reads 760mm Hg: (a) 100 psig, (b) 8in. Hg vacuum, and (c) 76in Hg gage.

Spray up method, Spray up method In a slight variation, to suit the ne...

Spray up method In a slight variation, to suit the necessity of bigger size parts the fibre resin and rovings are fed concurrently. The fibre rovings are fed via a chopper whe

Gas turbine, what is the affect of ambient temperature on the performance o...

what is the affect of ambient temperature on the performance of GAS turbine

Vibration damping and size-factors in clutch design , Vibration Damping : ...

Vibration Damping : Suitable mechanism should be incorporated within the clutch to eliminate (to reduce it drastically) noise produced in the transmission. Size : The size of

Opresion reserch, ppt of appling queuing model in railwy reservation

ppt of appling queuing model in railwy reservation

Example of free body diagram - mechanics, Example of free body diagram: ...

Example of free body diagram: The thr e e spheres A , B , C are placed in groove shown in the figure given below. The diameter of each sphere is 100mm. Sketch the free

Create pattern recognition algorithm to identify degeneracy, Particle in a ...

Particle in a Box 1 (from Dr. Liebman): You will remember that the energy of a particle in a 3 (and 2) dimensional box is defined by 3 (or 2) quantum numbers. This brings up the co

Requirements for vessels with thickness, Q. Requirements for vessels with t...

Q. Requirements for vessels with thickness? The following additional requirements are applicable, as specified,  to Carbon Steel and Low Alloy steel pressure vessels with main

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