A steel beam with the cross section shown in Fig 3 is subjected to a g bending moment M, until the upper flange is plastic in compression. relation for mild steel is also given in Fig 3 and is the same in compres Determine whether the tension zone is completely elasti i. plastic, what is the extent of plastic zone in tension.

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A steel beam with the cross section shown in Fig 3 is subjected to a gradually increasir
bending moment M, until the upper flange is plastic in compression. The stress – stra
relation for mild steel is also given in Fig 3 and is the same in compression as in tensio
Determine whether the tension zone is completely elastic or partially
plastic, what is the extent of plastic zone in tension.
i.
ii.
Calculate the bending moment M.
Locate the neutral axis
ii.
iv.
Compute the curvature of the beam at this section.
100
250
E=200,000 MPa
3.
100
20
50
40
All Dimensions are in mm
Fig 3
Transcribed Image Text:A steel beam with the cross section shown in Fig 3 is subjected to a gradually increasir bending moment M, until the upper flange is plastic in compression. The stress – stra relation for mild steel is also given in Fig 3 and is the same in compression as in tensio Determine whether the tension zone is completely elastic or partially plastic, what is the extent of plastic zone in tension. i. ii. Calculate the bending moment M. Locate the neutral axis ii. iv. Compute the curvature of the beam at this section. 100 250 E=200,000 MPa 3. 100 20 50 40 All Dimensions are in mm Fig 3
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