SOLUTION TO BEAM TUTORIAL - Transtutors

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15 Νοε 2013 (πριν από 3 χρόνια και 6 μήνες)

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1


Que
stion 1

A steel UB section spans 6m between simple supports and carries a centrally applied point load. If
the top flange of the beam is fully restrained, determine the size of the

section required to carry the
loading.


W
D

= 30 kN (Permanent)




Grade of Steel S275 (Fe 430)


W
I

= 80 kN (Variable)

It can be assumed that all loads are working loads, that the section will be Class 1, Plastic and the
maximum deflection is given
by:

EI
48
WL
3
max






where

L = span








E = 210 kN/mm
2

Calculations


























2


Question 2

Determine a suitable UC section in Grade S275 (Fe 430) steel for the previous problem and comment
on the difference in the solutions.


Calculations










































3


Question 3

Check the moment capacity and the deflections of a laterally restrained 356 x 171 x 51kg/m UB
section in grade Fe 430 (S275) beam assuming that it is simply supported over a span of 9m and is
subject to a uniformly distributed dead load of 5 kN/m and an im
posed load of 7.5 kN/m.

You can assume that the maximum deflection is given by :







EI
wL
.
384
5
4
max






where

L = span





w = udl





E = 210 kN/mm
2

Calculations



































4


Question 4


A steel beam spans 8.0 m and
supports a concrete floor, which provides full lateral restraint to the
top flange. The beam carries a factored dead load of 42 kN/m and a factored live load of 40 kN/m.
Determine whether or not a 533 x 210 x 101 UB has sufficient bending and shear capac
ity to carry
these loads. You can assume that the section is compact.


Describe how the failure mode might change if the concrete floor is unable to provide full lateral
restraint


Calculations





































5


Question 5


Design a UB
section in grade S275 (Fe 430) steel for the beam shown below where W
d

and w
D

are
permanent loads and W
I

and w
I

are variable loads. You can assume that the compression flange is
fully restrained and that all loads are working loads.


Remember to check sh
ear and web crushing and crippling, for which you can assume that the stiff
bearing length is 75mm under the point loads and at the supports, as well as deflection if the
maximum deflection is conservatively given by:

EI
wL
.
384
5
4



for the udl and

EI
WL
.
648
23
3



for the point loads

Calculations