Bending Moment - Revision history

DT Online: Added Template

2016-09-03T20:23:21Z

Added Template

← Older revision		Revision as of 20:23, 3 September 2016
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	[[File:Bending Moment Diagram.png\|~~200px~~\|right]]		[[File:Bending Moment Diagram.png\|300px\|right]]
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			=====Description=====

	A '''[[Moment of Force\|Moment]]''' is calculated by multiplying a '''Force''' ''(in '''[[newton\|newtons]]''')'' by its distance from a fixed point or pivot ''(in '''metres''')''.		A '''[[Moment of Force\|Moment]]''' is calculated by multiplying a '''Force''' ''(in '''[[newton\|newtons]]''')'' by its distance from a fixed point or pivot ''(in '''metres''')''.

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	A value for the '''Maximum Bending Moment ''(B.M.)''''' is needed when calculating the strength of a beam using the '''[[Simple Bending Equation]]''' for example.		A value for the '''Maximum Bending Moment ''(B.M.)''''' is needed when calculating the strength of a beam using the '''[[Simple Bending Equation]]''' for example.


			=====Features and Applications=====

	The [http://en.wikipedia.org/wiki/Bending_Moment '''Bending Moment''' '''''(B.M.)'''''] for a '''[[Simply Supported Beam]]''' about either of the '''[[Reactions (structures)\|Reactions]]''' ''(or supports)'' from any point a distance ''''x'''' from them can be expressed as '''Wx / 2'''. If the load is in the centre of the beam, as shown, the maximum '''B.M.''' can be seen to be equal to: '''Load x Span divided by 4'''		The [http://en.wikipedia.org/wiki/Bending_Moment '''Bending Moment''' '''''(B.M.)'''''] for a '''[[Simply Supported Beam]]''' about either of the '''[[Reactions (structures)\|Reactions]]''' ''(or supports)'' from any point a distance ''''x'''' from them can be expressed as '''Wx / 2'''. If the load is in the centre of the beam, as shown, the maximum '''B.M.''' can be seen to be equal to: '''Load x Span divided by 4'''
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	Self-weight can be assumed to be the same as a single point load acting on the centre of a beam or the cantilever. In the case of the cantilever example shown, self-weight would be acting therefore a quarter of the way along the beam - or '''Length = L/4''' and the maximum '''B.M.= W/2 x L/4 = WL/8'''		Self-weight can be assumed to be the same as a single point load acting on the centre of a beam or the cantilever. In the case of the cantilever example shown, self-weight would be acting therefore a quarter of the way along the beam - or '''Length = L/4''' and the maximum '''B.M.= W/2 x L/4 = WL/8'''
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	[[Category:Terminology]]		[[Category:Terminology]]

DT Online: Corrected Link

2015-12-23T20:39:29Z

Corrected Link

← Older revision		Revision as of 20:39, 23 December 2015
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	The [http://en.wikipedia.org/wiki/Bending_Moment '''Bending Moment''' '''''(B.M.)'''''] for a '''[[Simply Supported Beam]]''' about either of the '''[[Reactions]]''' ''(or supports)'' from any point a distance ''''x'''' from them can be expressed as '''Wx / 2'''. If the load is in the centre of the beam, as shown, the maximum '''B.M.''' can be seen to be equal to: '''Load x Span divided by 4'''		The [http://en.wikipedia.org/wiki/Bending_Moment '''Bending Moment''' '''''(B.M.)'''''] for a '''[[Simply Supported Beam]]''' about either of the '''[[Reactions (structures)\|Reactions]]''' ''(or supports)'' from any point a distance ''''x'''' from them can be expressed as '''Wx / 2'''. If the load is in the centre of the beam, as shown, the maximum '''B.M.''' can be seen to be equal to: '''Load x Span divided by 4'''

DT Online: Created article

2015-12-23T18:50:50Z

Created article

New page

[[File:Bending Moment Diagram.png|200px|right]]
A '''[[Moment of Force|Moment]]''' is calculated by multiplying a '''Force''' ''(in '''[[newton|newtons]]''')'' by its distance from a fixed point or pivot ''(in '''metres''')''.

A value for the '''Maximum Bending Moment ''(B.M.)''''' is needed when calculating the strength of a beam using the '''[[Simple Bending Equation]]''' for example.

The [http://en.wikipedia.org/wiki/Bending_Moment '''Bending Moment''' '''''(B.M.)'''''] for a '''[[Simply Supported Beam]]''' about either of the '''[[Reactions]]''' ''(or supports)'' from any point a distance ''''x'''' from them can be expressed as '''Wx / 2'''. If the load is in the centre of the beam, as shown, the maximum '''B.M.''' can be seen to be equal to: '''Load x Span divided by 4'''

[[File:Cantilever.png|250px|left]]
To understand why this is so, imagine the beam to be cut into two then the two halves placed back to back to create two '''[[Cantilever|cantilevers]]''' each supporting half of the load - and each '''[[Cantilever|cantilever]]''' will be half the length of the beam of course.

It is clear that standing on the end of a diving board makes it bend the most and this is where to find the '''Maximum Bending Moment'''. '''[[Moment of Force|Moments]]''' are given as '''Force x Distance''' and in this case, the force is that exerted by the half of the original beam load '''''(W/2)'' x half the length of the beam ''(L/2)'''''. This can be expressed as '''Load x Span divided by 4''' as shown

[[File:CantileverUDL.png|250px|right]]
In the case of a beam bearing a uniformly distributed load ''(such as the beam's self-weight)'' the '''Maximum Bending Moment ''(B.M.)''''' is equal to '''Load x Span divided by 8''' ''(which can also be written as '''half the load x a quarter of the span''')''

Self-weight can be assumed to be the same as a single point load acting on the centre of a beam or the cantilever. In the case of the cantilever example shown, self-weight would be acting therefore a quarter of the way along the beam - or '''Length = L/4''' and the maximum '''B.M.= W/2 x L/4 = WL/8'''

[[Category:Terminology]]