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STUDY OF RESIDUAL STRESS AND ITS ROLE IN
STRENGTH OF CURVED STRUCTURES
Guide
Babu R Mohan
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OB)ECTIVES *Con%"+
1. To Study about the role of Bending stress and Residual
stress
on various cross-sections of curved structures.
2. To select the best cross-sections of a curved structure
according
to the applications.
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3. To find the cross-section with minimum
Residual stress for certain applications.eg!-
Residual stress in crane hoo"s are unfavorable.#
$. %ecreasing the residual stress in crane hoo"s
increases its load carrying ability.
OB)ECTIVES *Con%"+
Fig: Crane Hoo
Hollow circle Elliptical I section
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$. To find cross-sections that have high residual stress for
applications of curved structures li"e &rch %am' &rched
Bridges.
(. )ere Residual stress is utili*ed to increase the strength of
the
construction.
OB)ECTIVES *Con%"+
Fig: Arched Dam Fig: Arched Bridge
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ABOUT THE ,RO)ECT
• The +aterial selected for the curved beam should have
allcharacteristics as given below!-
&SS,+T/0S
i. The material of the beam is perfectly homogeneous and
isotropic.
ii. +aterial of the beam should obey )oo"es law.
iii. ocal effects li"e stress concentration factors are
notconsidered.
iv. oungs modulus is same both in tension and
compression.
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ABOUT THE ,RO)ECT *Con%"+
• 4urved beams are manufactured by bending of
straight beams.
• The machining process causes residual stress to develop in
these structures.
• The magnitude of residual stresses affects the life and
strength of curved beams.
• Therefore a study on effect of residual stress on curved
beams is inevitable.
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• Before that a study of bending stress on various cross-
sections of curved structures needs to be carried out.
•
5or this purpose a 4-program is to be developed.
• Residual stress in a cross-section is opposite in
magnitude
to the force caused by initial bending.
ABOUT THE ,RO)ECT *Con%"+
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• Residual stress in cross section in a particular
cross-sectioncan be favorable or unfavorable depending on the mode
of
future loading.
• 5or calculating residual stress' shape factor for each
cross-
section is evaluated first.
• Residual stress is calculated using empirical relation
connecting residual stress 6 shape factor.
ABOUT THE ,RO)ECT *Con%"+
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CONTRIBUTIONS
• 7lliptical ' )ollow circular 6 -Section are selected
randomly as curved beam cross sections for study.
•4-program is developed for calculating bending
stress of various cross sections.
• The result so obtained is plotted in a graph using
e8cel.
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-OR& COM,LETED SO FAR 9raph showing bending stress of
different sections along radius of fiber.
40 60 80 100 120 140 160
-100
-50
0
50
100
150
BENDING STRESS S R!DI"S #$ SE%TI#N
H#&' %(&INDER STRESS I SE%TI#N STRESS E&&I)SE
STRESS
R!DI"S #$ SE%TI#N
STRESS
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-OR& COM,LETED SO FAR
./0
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THAN& YOU
