8/9/2019 Questions Amos

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2 marks questions

1. Defne strain energy density.2. State Maxwell’s reciprocal theorem.3. State Castigliano’s theorem to fnd slope and deection in a beam.. !hat is meant by strain energy stored in a str"ct"re#$. %ind the expression &or the strain energy d"e to bending moment o& a

simplys"pported beam carrying a load !’ spread o'er its entire length "ni&ormly.(. !hat is the strain energy d"e to )a* axial stress and )b* bending moment#+. !hat is strain energy stored by a member s"b,ected to a tensile &orce#-. !rite the principle o& 'irt"al wor e/"ation &or deection d"e to bending.0. State the principle o& 'irt"al wor.1. State the Maxwell reciprocal theorem.11. xplain the Mod"l"s o& resilience4 o& a material.12. State the Castigliano’s 5heorem.13. !hat is compo"nd cylinder#1. 6ow is the &ail"re o& thic cylinder is di7erent &rom that o& a thin cylinder#1$. Disting"ish between thin and thic cylinder.1(. xplain the 8ame’s theory o& thic cylinders.1+. !hat is meant by stress tensor#1-. State principal strain theory.10. State 9anine’s 5heory o& &ail"re.2. !hat is principal plane: principal stress#21. !rite down the &orm"la &or the shear stress on the octahedron plane.22. State ;on Mise’s theory o& &ail"re.23. State the principal stress theory. %or what type o& material this theory isapplicable.

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8/9/2019 Questions Amos

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  1. )@* State and explain Maxwell’s reciprocal theorem. )ii* !hat is the criterion &or disting"ishing between a thic cylinder and thincylinder#)iii* !hat do yo" mean by "nsymmetrical bending# xplain.)i'* Shear centre o& a semicirc"lar are o& radi"s r is ????????????????????.

)'* 5he deection o& a ring "nder compression when a small c"t is made atthe horiBontal diameter shall???????????????.)@ncreasedecreaseremain samebecomes Bero*)'i* =i'e two examples o& plain strain conditions.)'ii* 6ow many types o& resistance strain ga"ges are there#)'iii* !hat do yo" mean by rectang"lar rosette#)ix* Di7erentiate between isoclinic and isochoromatic fngers in photoelasticity.)x* !hat is stress concentration &actor# xplain.

1. )i* Disting"ish between plane stress and plane strain conditions.  )ii* !hat is photo elastic coating# =i'e example.

  )iii* Setch a completely re'ersed stress cycle and a repeated stresscycle.  )i'* Di7erentiate between a thin cylinder and a thic cylinder.

)'* !hat is notch sensiti'ity index#)'i* 6ow many elastic constant are there in the generaliBed 6ooe’s law.)'ii* %or a plane strain problem the components o& the strain

 5ensor are xEa)x2Fy2*: yEay2 and GxyE2 aHy  !here a is a constant. Does this represent a possible state o& strain#)'iii* !hat is share centre#)ix* State Maxwell’s reciprocal theorem.)x* !hat will be the e7ect on the &atig"e li&e o& a component i& a resid"alcompressi'e stress feld is introd"ced#1. )i*5he components o& the strain tensor are xEa .B. )x2Fy2*: yE a.y2 .B: and y xyE2axyB!here a is a constant# Does this represent a possible state o& strain#

)ii* !hat is a photo elastic material# =i'e example.)iii*Defne theoretical stress concentration &actor.)i'*!hat is notch sensiti'ity index#)'* 6ow &atig"e di7erent &rom static loading#)'i*%or some non?&erro"s materials there is no distinct end"rance limit.6ow is the end"rance limit decided in s"ch a case#

)'ii*!hat are strain rosettes and how do they wor.)'iii*!rite generaliBed 6ooe’s law in matrix &rom. !hat is sti7nessmatrix#)ix*State saint? ;enant’s principle.

  )h* State Ietti’s theorem  1.)a* Draw repeated and completely re'ersed stress cycles showing thesalient &eat"res.  )b* =i'e an example o& cross?section o& a beam &or which"nsymmetrical bending is impossible.  c. Defne ex"ral axis.  )d* C"r'ed beams are beams with small initial c"r'at"re or with large

initial c"r'e: write the correct one.  )e* !hat are the di7erence between thic and thin cylinders#

8/9/2019 Questions Amos

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