The steel beam of uniform T-section shown in Figure Q3(b) is simply supported over a length of 2.5 m and is subjected to a concentrated load W at mid-span. The yield stress of steel is 300 MNm-2 (in tension and in compression). (b) 100mm 10 mm W 10 mm 110 R R Figure Q3(b): T- Section Structural Beam (i) Determine the position of the neutral axis for elastic bending. (ii) Calculate the second moment of area I about the neutral axis. (iii) Determine the value of W when yielding is about to commence in the section, i.e. at onset of yielding, at mid-span.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The steel beam of uniform T-section shown in Figure Q3(b) is simply
supported over a length of 2.5 m and is subjected to a concentrated
load W at mid-span. The yield stress of steel is 300 MNM2 (in tension
and in compression).
(b)
100mm
10 mm
W
10 mm
R
110
L
R
Figure Q3(b): T- Section Structural Beam
(i)
Determine the position of the neutral axis for elastic bending.
(ii)
Calculate the second moment of area I about the neutral axis.
Determine the value of W when yielding is about to commence
in the section, i.e. at onset of yielding, at mid-span.
(iii)
Transcribed Image Text:The steel beam of uniform T-section shown in Figure Q3(b) is simply supported over a length of 2.5 m and is subjected to a concentrated load W at mid-span. The yield stress of steel is 300 MNM2 (in tension and in compression). (b) 100mm 10 mm W 10 mm R 110 L R Figure Q3(b): T- Section Structural Beam (i) Determine the position of the neutral axis for elastic bending. (ii) Calculate the second moment of area I about the neutral axis. Determine the value of W when yielding is about to commence in the section, i.e. at onset of yielding, at mid-span. (iii)
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