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Steel Designers Manual - TheBestFriend.org

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This material is copyright - all rights reserved. Reproduced under licence from The <strong>Steel</strong> Construction Institute on 12/2/2007<br />

To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.<strong>org</strong>/<br />

<strong>Steel</strong> <strong>Designers</strong>' <strong>Manual</strong> - 6th Edition (2003)<br />

1084 Bending moment, shear and deflection<br />

A<br />

'9<br />

pp p p<br />

SiMPLY SUPPOATED BEAMS<br />

b F AB<br />

MCfl MDME!fL<br />

A4 —A8 "2P<br />

;,2'max.<br />

d 6JPL<br />

max. 1000E%<br />

TOTAL LOAD<br />

pPppPP P<br />

LA (n—I) forces B<br />

When n is odd. (nL /) p1<br />

Mmax —<br />

When n is even.<br />

Mmcx. — n. PL/8<br />

'4B("')'%<br />

R8<br />

When n is odd<br />

PL3 r i7r it /<br />

When n /5 even<br />

dmaxiuu,p4,. . nft_ :# )J<br />

When n >10, consider the load uniformly distributed<br />

The reaction at the supports = W/2, but the maximum SE<br />

at the ends of the beam — W(n;/)11,AW<br />

The value of the maximum bending moment — C. WL<br />

The value of the deflection at the centre of the span — k.<br />

Value otn A C k<br />

2 0 250O 0.1250 O• 0/05<br />

S 0.3333 0/I/I 00118<br />

4 03750 0.1250 00/24<br />

5 Q.4 01200 0.0/26<br />

6 04/67 O•IZSO OO/27<br />

7 O4286 0/224 0•0/28<br />

8 0•4375 0•1250 00/28<br />

9 04444 0/236 00l29<br />

/0 O•4500 0.1250 0•0/29

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