Simply supported beam - bending moment, Mechanical Engineering

Assignment Help:

Simply supported beam -  Bending Moment:

Sketch the SFD and BMD for a simply supported beam of 15 m span loaded as illustrated in Figure

1782_Simply supported beam -  Bending Moment.png

Figure

Solution

Taking moment about A,

R B   × 15 - 1.5 × 6 × (9 + (6/2)) - (7.5 × 8) + 9 - ((½) × 6 × 3 × (2/3) × 6 ) = 0

RB  = 13 kN

R A   = (( ½) × 6 × 3?)+ 7.5 + (1.5 × 6) - RB = 25.5 - 13 = + 12.5 kN

Shear Force (Beginning from the Left End A)

SF at A,        FA  = + 12.5 kN

SF at C, F C   =+ 12.5 - ((½) × 6 × 3 ) = + 3.5 kN

SF just left of E,         FE  =+ 3.5 kN

SF just right of E,      FE  =+ 3.5 - 7.5 = - 4 kN

SF at F,           FF  =- 4 kN

SF just left of B,     FB  =- 4 - (1.5 × 6) = - 13 kN = Reaction at B.

 Bending Moment (Beginning from Right End B)

BM at B,         MB = 0

BM at F,

M F      =+ (13 × 6) - (1.5 × 6 × (6/2)   =+ 51 kN-m

BM at E,      M E         =+ (13 × 7) - 1.5 × 6 × (1 + (6 /2))  =+ 55 kN-m

BM just right of D, M D =+ (13 × 8) -1.5 × 6 × (2 + (6/2)) - 7.5 =+ 51.5 kN-m

BM just left of D, M D  = + 51.5 + 9 = + 60.5 kN-m

BM at C, M C  =+ (12.5 × 6) - (½) × 3 × 6 × ((1/3) × 6 )  =+ 57 kN-m


Related Discussions:- Simply supported beam - bending moment

Battery discharges frequently motorcycle problem, If Battery Discharges Fre...

If Battery Discharges Frequently Causes of Problem Remedy Electrolyte specific gravity NG Charging not done fully

Simply supported beam - bending moment, Simply supported beam -  Bending M...

Simply supported beam -  Bending Moment: Sketch the SFD and BMD for a simply supported beam of 15 m span loaded as illustrated in Figure Figure Solution Tak

Power sources-inverter type power sources, INVERTER TYPE POWER SOURCES Fo...

INVERTER TYPE POWER SOURCES For site welding and repair applications, a need was felt for long time to have light weight arc welding power source. Even though, a petrol driven ro

Usage of special tool, USAGE OF SPECIAL TOOL: The common tools used in rep...

USAGE OF SPECIAL TOOL: The common tools used in repair and maintenance of motorcycles were introduced to you in previous sections. Now, we shall learn about some special tools and

Introduction to welding processes, Welding is a material joining process us...

Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by heating the materials to suitable temper

Determine the expression for crippling load, Illustrate the assumptions mad...

Illustrate the assumptions made in Euler's theory. Determine the expression for crippling load for a long column when one end of the column is fixed and other end is hinged.

What is the function of fuel feed system?, (a) What is the function of fuel...

(a) What is the function of fuel feed system? (b) What are the functions of a carburettor? (c) List main components of a carburettor. (d) Describe the working principle of

Storage & quality of co2 gas, STORAGE & QUALITY OF CO 2 GAS CO 2 gas ...

STORAGE & QUALITY OF CO 2 GAS CO 2 gas is supplied in cylinders at a  high pressure (140 kg / cm 2 ). When the cylinder is full, nearly 90 % of the volume is filled with CO 2

What is the brick inner surface temperature, Derive 3-D non-steady state co...

Derive 3-D non-steady state conduction equation in spherical co-ordinates. Explain the assumption involved. The hot combustion gases of a furnance are divided from the ambient a

Evaluation the enthalpy of steam - thermodynamics, Evaluatio n the Enthalp...

Evaluatio n the Enthalpy of Steam: Let h f   = Heat of liquid or sensible heat of water in KJ/kg h f g   = Latent heat of vaporization of steam in KJ/kg t

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