Compute the maximum bending moment, Mechanical Engineering

Compute the maximum bending moment:

A simply supported beam of 7 m length carries point loads 2 kN, 4 kN and 6 kN at distances of 1 m, 2 m & 4 m from the fixed end respectively. Draw BMD & SFD and also compute the maximum bending moment that will take place.

Solution

By taking moments around A to find RB,

RB × 7 - (6 × 4) - (4 × 2) - (2 × 1) = 0

Therefore,        RB = 4.857 kN, and

RA = 12 - 4.857 = 7.143 kN

Shear Force (Starting from left end A)

 SF at A, FA = + 7.143 kN

SF just left of C = + 7.143 kN

SF just right of C = + 7.143 - 2 = + 5.143 kN

SF just left of D = + 5.143 kN

SF just right of D = + 5.143 - 4 = + 1.143 kN

SF just left of E = + 1.143 kN

SF just right of E = + 1.143 - 6 = - 4.857 kN

SF just left of E = - 4.857 kN = Reaction at B

Bending Moment (Starting from right end B) BM at A, MA = 0

BM at E, ME = + 4.857 × 3 = + 14.571 kN m

BM at D, MD = + (4.857 × 5) - (6 × 2) = + 12.285 kN m

BM at C, MC  = + (4.857 × 6) - (6 × 3) - (4 × 1) = + 7.142 kN m

Or        MC = 7.143 × 1 = + 7.143 kN m   (considering left side)

BM at A,  MA = 0

658_Compute the maximum bending moment.png

Figure

Maximum bending moment shall occur at a point where the shear force changes sign. Here, SF alters from positive to negative at E. The Bending Moment at E shall be maximum bending moment.

Thus,   Mmax = + 14.571 kN m

Posted Date: 1/22/2013 12:41:28 AM | Location : United States







Related Discussions:- Compute the maximum bending moment, Assignment Help, Ask Question on Compute the maximum bending moment, Get Answer, Expert's Help, Compute the maximum bending moment Discussions

Write discussion on Compute the maximum bending moment
Your posts are moderated
Related Questions
Q. Determine the extent of imperfection of the gasket surface? To determine the extent of imperfection of the gasket surface subject to acceptance / rejection, the imperfection

example with its properties

what is cone friction?

Compare Rankine cycle with Carnot cycle: Sol.: Rankine cycle without superheat: 1 - A - 2 - 3 - 4 - 1. Rankine cycle with superheat : 1 - A - 2 - 2′ -3′ - 4 - 1.

Q. Patching touch up stick? Pipe requiring limited coating repair resulting from scars, slivers, holidays, etc. shall be repaired by an OWNER approved patching system. The amou

equivalent evaporation of boiler..?

Q. Formed heads of vessels? Formed heads are generally of 2:1 semi ellipsoidal form, but other heads may be used, such as hemispherical, torispherical, conical and toriconical.

An experiment to determine the convection coefficient associated with airflow over the surface of a thick stainless steel casting involves insertion of thermocouples in the casting

A single phase series resistive-inductive heating element draws a measured current of 15A when connected to a 225V single phase 50 Hz AC supply. Tests have shown that a minimum

A nozzle of 50 mm. dia. delivers a stream of water that strikes a flat plate which is held normal to the axis of stream. If the issuing jet has a velocity of 15 m/sec., determine: