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

Determine the Edge Table Each entry in the edge table contains those information mentioned earlier, edge name, start vertex and end vertex, left face and right face, the predec

Clutch cable routing : Ensure that the cable is routed as per standard routing, through the brackets provided.

Find out load carried and compressive stress: The concrete column 300mm x 300mm in section can be reinforced by 10 longitudinal 20mm diameter round steel bars. The column car


Question: The block diagram of a dc servo motor feed drive is shown   Obtain the closed loop transfer function relating the output to the disturbance T L while V

Q. Purpose of Corrosion assessment design? The purpose of this design guide is to ensure that Material Selection for Steam Assisted Gravity Drainage (SAGD) projects is carried

REACTIO N TURBINE: The turbine in which the steam expands while passing over the moving blades as well as while passing over the fixed blades and the pressure of steam dec

Explain about the pedestals as construction engineering. Introduction of pedestals enables the construction engineers to make up levels to supply larger bearing areas to the fo

when is scaling transformation termed as linear