System of loads - beam, Mechanical Engineering

System of loads -  Beam:

Build the SFD & BMD for 10 m span simply supported beam subjected to a system of loads as illustrated in Figure .

512_System of loads -  Beam.png

Figure

Taking moment around A and equating to zero.

R B   × 10 - 2 × 4 × (6 + (4/2)) - 3 × 8 - 4 × 6 - 5 × 5 - 1.2 × 5 × (5/2) - 1 × 2 = 0

RB = 154 /10 = 15.4 kN

 RA = (1.2 × 5) + 1 + 5 + 4 + 3 + (2 × 4) - RB

RA = 27 - 15.4 = 11.6 kN.

Shear Force (starting from left end) SF at A, FA = + 11.6 kN

SF just left of C, FC = + 11.6 - (1.2 × 2) = + 9.2 kN

SF just right of C, FC = + 9.2 - 1 = + 8.2 kN

SF just left of D, FD = + 8.2 - (1.2 × 3) = + 4.6 kN

SF just right of D, FD = + 4.6 - 5 = - 0.4 kN

SF just left of E, FE = - 0.4 kN

SF just right of E, FE = - 0.4 - 4 = - 4.4 kN

SF just left of F, FF = - 4.4 - (2 × 2) = - 8.4 kN

SF just right of F, FF = - 8.4 - 3 = - 11.4 kN

SF just left of B, FB = - 11.4 - (2 × 2) = - 15.4 kN

Bending Moment

BM at A and B, MA = MB = 0

BM at F, M =+ (15.4 × 2) - (2 × 2 × (2/2)) =+ 26.8 kN m = + 39.6 kN m

BM at E, M =+ (15.4 × 4) - (3 × 2) - (2 × 4 × (2/2)) =+ 39.6 kN m

BM at D, M =+ (11.6 × 5) - (1 × 3) -(1.2 × 5 × (5/2)  = 40 kN m

                                                                  (considering left side)

BM at C, M =+ (11.6 × 2) - (1.2 × 2 × (2/2)) =+ 20.8 kN m

                                                                    (considering left side)

As the SF changes sign at D, the maximum bending moment occurs at D.

Mmax = MD = + 40 kN m

Posted Date: 1/22/2013 12:48:36 AM | Location : United States







Related Discussions:- System of loads - beam, Assignment Help, Ask Question on System of loads - beam, Get Answer, Expert's Help, System of loads - beam Discussions

Write discussion on System of loads - beam
Your posts are moderated
Related Questions
A solid shaft of diameter d is taken in power transmission. Because of modification of existing transmission system, it is needed to replace the solid shaft by a hollow shaft of th

Calculate the magnitude of maximum bending moment: The shear force diagram for the overhanging beam is illustrated in Figure. Draw the loading diagram & bending moment diagram

Difference between press forminig and hammer forming

a steel bar is 900 mm long

In Figure P4.2 , ?1 = 200 rad/s cw and a1 = 4000 rad/s2 cw, Find the acceleration of points B, C, and D and the angular acceleration of link 2?

Express the compression force C in the hydraulic cylinder of the car hoist in terms of the angle Θ, see Fig Q3. The mass of the hoist is negligible compared with the mass of the ve

impact on the technological & industrial development

Application of Cost-Volume-Profit Relationships: Quality stores open for 10 hours a day. Company is considering decreasing the store hours through one hour. This shall resul

Introduction There was a power point presentation on Hydrogen fuel, Hydrogen production using electrolyzer and solar energy and solar energy.Topics like Alternative Energy Sys

What is the magnitude of frictional force after perfect rolling begins and why? solution) After pure rolling begins,frictional force is 0. This is because the velocity of he c