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

Assignment Help:

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.


Related Discussions:- Draw the bending moment diagram and shear force diagram

What are the advantages of gear drive, In general, gear drive is useful for...

In general, gear drive is useful for power transmission among two shafts, which are near to each other (at most at 1m distance). In addition, it has maximum efficiency whereas tran

Example of manufacturing lead time (mlt), Example of Manufacturing Lead Tim...

Example of Manufacturing Lead Time (MLT) A certain part is generated in a batch size of 100 units. The batch should be routed through five operations to complete the processin

Engine, maximum rpm at engine

maximum rpm at engine

Calculate the flow rate and pressure drop , (a) Oil, with density ρ= 900 kg...

(a) Oil, with density ρ= 900 kg/m 3 , and kinematic viscosity υ=0.00001m 2 /s, flows at the rate of 0.2m 3 /s through 500m of a cast iron pipe of diameter d=200mm. Using this infor

Carbon and graphite, Carbon and Graphite Both are excellent refractory...

Carbon and Graphite Both are excellent refractory materials but with good grace oxidize and thus are used merely either in neutral or reducing conditions. Graphite is more sta

Applied Elasticity, Can you prove an equation from Plane Stress and Plane s...

Can you prove an equation from Plane Stress and Plane strain?

Co2 gas supply-co2 welding, CO 2 Gas Supply The CO 2 shielding gas is...

CO 2 Gas Supply The CO 2 shielding gas is supplied cylinders at high pressure (140 kg / cm 2 ). Therefore pressure regulator and flow meter are connected to reduce the pressu

Equilibrium, Ask question #Minimum 100 words accepA rope of negligible mass...

Ask question #Minimum 100 words accepA rope of negligible mass is stretched horizontally between two supports that are 3.44 m apart.When an object of weight 3160 N is hung at the c

Strength coefficien, #question. how much the strength coefficient of 383 ca...

#question. how much the strength coefficient of 383 cast alloy , to calculate the quality index .

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