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Loads For Supporting Beams: LX Ly UDL On Slab

The document provides details of the load calculation and design of beams for a supporting slab. The maximum dead load of the slab is 5 kN/m^2 and the total load is distributed to two beams. Beam 1-2 experiences a maximum intensity of 18.15 kN/m^2 and maximum moment of 119.58 kNm. Beam 2-3 experiences higher loads of 36.30 kN/m^2 and 233.54 kNm. Appropriately sized I-beams are then designed to carry the bending and shear loads for each beam. Checks are performed to verify the section moduli and shear capacities are sufficient while deflections remain within allowable limits.

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221 views6 pages

Loads For Supporting Beams: LX Ly UDL On Slab

The document provides details of the load calculation and design of beams for a supporting slab. The maximum dead load of the slab is 5 kN/m^2 and the total load is distributed to two beams. Beam 1-2 experiences a maximum intensity of 18.15 kN/m^2 and maximum moment of 119.58 kNm. Beam 2-3 experiences higher loads of 36.30 kN/m^2 and 233.54 kNm. Appropriately sized I-beams are then designed to carry the bending and shear loads for each beam. Checks are performed to verify the section moduli and shear capacities are sufficient while deflections remain within allowable limits.

Uploaded by

Anonymous sfkedkym
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as XLSX, PDF, TXT or read online on Scribd
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Load calculation

Thickness of supporting slab = 200 mm


Max dead load of slan = 5 KN/m2
Total load = 5 KN/m2

Loads for Supporting Beams

lx = 7.26 m
ly = 9.16 m
UDL on slab = 5 kN/m2

The loads of triangular segment A will be transferred to beam 1-2 and the same of trapezoidal segment B will be transferred to bea

Beam 1-2 max intensity of D DL = 18.15 kN/m (w)

A ly = 9.16 Max. Moment = 119.58 kNm (wl2/8)


7.26 11.96 t-m
(l) Max. Shear or Rxtn = 65.88 kN (wl/2)
6.59 t

effects on bea
max intensity of D DL = 36.30 kN/m (w1) be due to sla
lx = 7.26 Beam 2-3 max Intensity of UDL = 19.00 kN/m (w2) both sides, s

3.63 1.9 3.63 Max. Moment = 233.54 kNm (w1x2/3 + w2y/2*(x+y/4)


(x) (y) (x) 23.35 t-m
Max. Shear or Rxtn = 83.93 kN (0.5*(w1x+w2y)
8.39 t
o beam 2-3

n beam will
to slab on
des, so (x2)

+y/4))
Design of transver beam
Length of beam = 7.26
Max factored bending momment on transverce beam = 11.96
Max factored shear force = 6.59
TAKING Qbc = 165 N/mm2

SECTION MODULUS
REQUIRED = 724729.5 mm3

= 724.7295 cm3
Size of I section used
Top Flange of beam 16 300
web plate 12 810
bottom flange 16 300

SECTIONAL PROPERTIES

Cross Sectional Area 194.17 cm2


Moment of Inertia Ixx 221702 cm4
Moment of Inertia Iyy 7211 cm4
Modulus of Section Zxx 5217 cm3
Modulus of Section Zyy 481 cm3
Beam Depth 850 mm
Web Thickness 12 mm

Zxx = 5217 cm3


>724 cm3 HENCE SAFE

MAX SHEAR FORCE


= 6.58845 MT
= 65884.5 N

CHECK FOR SHEAR

Calculated Shear Stress

Qva = 6.0333791 N/mm2


< 100 N/mm2 HENCE SAFE

CHECK FOR DEFLECTION

Maximum Deflection at centre due to uniform load

= 20.395092 MM

ALLOWABLE DEFLECTION
= 22.338462 MM HENCE SAFE
m
t-m
MT
Design of Longitudnal force beam
Length of beam = 9.16
Max factored bending momment on longitudnal beam = 23.35
Max factored shear force = 8.39
TAKING Qbc = 165 N/mm2

SECTION MODULUS
REQUIRED = 1415368 mm3

= 1415.3681 cm3
Size of I section used
Top Flange of beam 20 300
web plate 12 960
bottom flange 20 300

SECTIONAL PROPERTIES

Cross Sectional Area 235.21 cm2


Moment of Inertia Ixx 376653 cm4
Moment of Inertia Iyy 9014 cm4
Modulus of Section Zxx 7533 cm3
Modulus of Section Zyy 601 cm3
Beam Depth 1000 mm
Web Thickness 12 mm

Zxx = 7533 cm3


>1415 cm3 HENCE SAFE

MAX SHEAR FORCE


= 8.39345 MT
= 83934.5 N

CHECK FOR SHEAR

Calculated Shear Stress

Qva = 6.9945417 N/mm2


< 100 N/mm2 HENCE SAFE

CHECK FOR DEFLECTION

Maximum Deflection at centre due to uniform load

= 25.241048 MM

ALLOWABLE DEFLECTION
= 28.184615 MM HENCE SAFE
m
t-m
MT

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