The relevant cross-sectional details of a compoundbeam comprising a symmetric l-section and achannel section (with welded connections),proposed for a steel gantry girder, are given below(all dimensions in mm)(a) Determine the depth of the centroidal axisy and the second moment of area, I andI, of the compound section. For computinginclude the full contribution of theyychannel section, but only the top flange of theI-section.(b) Determine the maximum compressive stressthat develops at a top corner location onaccount of a vertical bending moment of 550.0kNm,combined with a horizontal bendingmoment of 15.0 kNm. 24.2100200200minor axis of channelChannel section: (100×400)----X A= 6293 mm", t= 8.6 mm6003Imaior=150828×10 mm3.Iminor=5048x10°mm"250l-section: (250x600)YA= 18486 mm, ty = 23.6 mmImaior=1156266×10°mm%3D4

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The relevant cross-sectional details of a compound beam comprising a symmetric l-section and a channel section (with welded connections), proposed for a steel gantry girder, are given below (all dimensions in mm) (a) Determine the depth of the centroidal axis V and the second moment of area, I and

The relevant cross-sectional details of a compound beam comprising a symmetric l-section and a channel section (with welded connections), proposed for a steel gantry girder, are given below (all dimensions in mm) (a) Determine the depth of the centroidal axis V and the second moment of area, I and

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The relevant cross-sectional details of a compound
beam comprising a symmetric l-section and a
channel section (with welded connections),
proposed for a steel gantry girder, are given below
(all dimensions in mm)
(a) Determine the depth of the centroidal axis
y and the second moment of area, I and
I, of the compound section. For computing
include the full contribution of the
yy
channel section, but only the top flange of the
I-section.
(b) Determine the maximum compressive stress
that develops at a top corner location on
account of a vertical bending moment of 550.0
kNm,combined with a horizontal bending
moment of 15.0 kNm.

24.2
100
200
200
minor axis of channel
Channel section: (100×400)
----X A= 6293 mm", t= 8.6 mm
600
3
Imaior=150828×10 mm
3.
Iminor=5048x10°mm"
250
l-section: (250x600)
Y
A= 18486 mm, ty = 23.6 mm
Imaior=1156266×10°mm
%3D
4

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