Draw the bending moment diagram and shear force diagram, Mechanical Engineering

Draw the bending moment diagram and shear force diagram:

A cantilever beam of 8 m length is subjected to point loads of 15 kN, 10 kN, 25 kN and 20 kN at distances of 4 m, 2 m, 6 m and 8 m, respectively from the fixed end. Draw the bending moment diagram and shear force diagram.

Solution

Reaction at the support A = RA = 10 + 15 + 25 + 20 = + 70 kN.

Shear Force

SF at A = FA = + 70 kN

SF just left of C = + 70 kN

SF just right of C = + 70 - 10 = + 60 kN

SF just left of D = + 60 kN

SF just right of D = + 60 - 15 = + 45 kN

SF just left of E = + 45 kN

SF just right of E = + 45 - 25 = + 20 kN

SF just left of B = + 20 kN

SF just left of B = + 20 kN  (considering right side of the section)

2084_Draw the bending moment diagram and shear force diagram.png

Figure

 Bending Moment

BM at B, MB = 0         (since the moment at the free end is equal to zero)

BM at E, ME = - 20 × 2          (considering the right side)

                       = - 40 kN m

BM at D, MD = - (20 × 4) - (25 × 2)

                      = - 130 kN m

BM at C, MC  = - (20 × 6) - (25 × 4) - (15 × 2)       

                        = - 250 kN m

BM at A,   MA = - (20 × 8) - (25 × 6) - (15 × 4) - (10 × 2)

                             = - 390 kN m.

Posted Date: 1/22/2013 12:27:09 AM | Location : United States







Related Discussions:- Draw the bending moment diagram and shear force diagram, Assignment Help, Ask Question on Draw the bending moment diagram and shear force diagram, Get Answer, Expert's Help, Draw the bending moment diagram and shear force diagram Discussions

Write discussion on Draw the bending moment diagram and shear force diagram
Your posts are moderated
Related Questions
Explain the Side Relief Angle It is angle made by flank of a tool and plane perpendicular to base just under the side cutting edge. if the side relief angle is very large the c

Projection Welding Projection welding is similar to spot welding but for the fact that the welding takes place at the projections on the surface of the metals and flat shaped e

Piston and Piston Rings - Part of combustion engine: Piston: The piston reciprocates within cylinder and transmits force exerted by expanding gases to crank by means of conn

Obtain the closed loop transfer function of the system shown:

wire-frame entities-representing ellipse and parabolas


consider the following LPP max z=9x1+8x2+5x3 subject to 2x1+3x2+x3 5x1+4x2+3x3 x1,x2,x3>_0 (a)solve using simlex method (b)hence using the sesitivity analysis

A mix of spherical particles of different sizes is to be separatedinto two size ranges by passing a liquid of density 1200 kg m-3 and viscosity 0.0015 Pa s upward through the mixtu

how mechanism can be synthesized using relative pole method?

01-- what is the scope of som? 02-- how can we learn and understand shear force and bending moment diagram?