Draw bending moment diagram for the beam, Mechanical Engineering

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.

Posted Date: 1/22/2013 12:39:38 AM | Location : United States







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

Write discussion on Draw bending moment diagram for the beam
Your posts are moderated
Related Questions
Follow board pattern This type of pattern is adopted for those castings where there are some portions which are structurally weak and if not supported properly are likely to br

Function of heat pump: Refrigerator The primary function of heat pump is to transfer heat from the low temperature system to the high temperature system, this transfer of

A perfect gas flows through a nozzle when it expends in a reversible adiabatic manner, the inlet conditions are 22 bar,, 500 o c, 38 m/s. At exit the pressure is 2 bar. Evaluate th


Drive the expression for critical pressure ratio for steam nozzle and illustrate critical pressure. Air flows in a 200cm 2 duct at a velocity of 180 m/s, a pressure of 119 KPa

Uniform Alternate Electric Field Suppose a particle moves under a uniform (i.e. independent of space co-ordinates) but alternating electric field  E  given by, E = E 0  si

Find power transmitted by cross type belt: Find power transmitted by cross type belt drive connecting two pulley of diameter 45.0cm and 20.0cm that are 1.95m apart. The max

GAS METAL ARC WELDING (GMAW) GMAW is abbreviation for Gas shielded Metal Arc Welding. Here fusion is achieved by an electric arc formed between work piece and process is called

hardness of bore well water is less than sea water .justify

Q. Corrosion in Boiler? With proper BFW treatment, and maintaining pH within a certain range (9.2 to 9.4) and removing oxygen from the system, a stable passive film will be for