Download - Mechanics of Solids GATE bits
-
7/25/2019 Mechanics of Solids GATE bits
1/20
MECHANICS OF SOLIDS
1. Maximum total strain energy is equal to
(a) (12+22)/2E
(b) ( 12+22+ 2 1 2)/2E
(c) ( 12+22 2 1 2)/2E
(d) one(!ns" c)
2. Maximum total strain energy t#eory is a$$licable to
(a) %uctile materials
(b) &rittle materials
(c) 'om$osite materials
(d) one
(!ns"b)
. #ear strain energy t#eory is also *non as(a) ,uber t#eory
(b) -an*ine t#eory
(c) Mises,enc*y t#eory
(d) one
(!ns" c)
. Maximum $rinci$al strain t#eory is also called as
(a) 0uests t#eory
(b) ,aig# t#eory
(c) t.enants t#eory(d) one
(!ns" c)
3. Maximum $rinci$al strain is equal to #en 1 and 2 are tensile
(a) (1 42)/E
(b) (1 + 2)/E
(c) (41 42)/E
(d) one
(!ns"a)
5. Maximum total strain energy t#eory is also *non as
(a) 0uests t#eory
(b) ,aig# t#eory
(c) t.enants t#eory
(d) one
(!ns" b)
-
7/25/2019 Mechanics of Solids GATE bits
2/20
6. #ear strain energy t#eory is also *non as
(a) on Mises 7#eory
(b) 'oulombs t#eory
(c) -an*ine t#eory
(d) one(!ns" a)
8. #ear strain energy t#eory is also *non as
(a) 'oulombs t#eory
(b) %istortion energy t#eory
(c) -an*ine t#eory
(d) one
(!ns" b)
8. #ear strain energy is equal to(a) 9( 12+22+ (1 + 2)2:/12E
(b) 9( 12+22+ (1 2)2:/120
(c) 9(12+22+ (1 + 2)2:/120
(d) one
(!ns" b)
;. Maximum total strain energy t#eory is a$$licable to
(a) %uctile materials
(b) &rittle materials
(c) 'om$osite materials(d) one
(!ns"a)
1
-
7/25/2019 Mechanics of Solids GATE bits
3/20
12. Maximum $rinci$al t#eory is also *non as
(a) 0uest 7#eory
(b) &eltrami 7#eory
(c) -an*ine 7#eory
(d) one
(!ns" c)
1. Maximum $rinci$al stress is equal to
(a) (x + y)/2 + 9 (x 4y)2+ ?2: maximum s#ear stress is equal to
(a) !lloable stress in tension
(b) !lloable stress in com$ression
(c) !lloable stress in s#ear
(d) one
(!ns" c)
-
7/25/2019 Mechanics of Solids GATE bits
4/20
18. Maximum s#ear stress is equal to
(a) (1 42)/2
(b) (1 + 2)/2
(c) (1 + 22)/2
(d) one
(!ns"a)
1;. 7#e direction o@ s#ear stress in a loaded beam is
(a) ,oriAontal
(b) ,oriAontal as ell as Bertical
(c) ertical
(d) one
(!ns" b)
2 t#e ratio ?max/ ?aBis
(a) 2
(b) 1
(c) 1.3
(d) one
(!ns"c)
2. #ear stress is Aero at t#e
(a) Futermost @iber
(b) 'entral @iber
(c) eit#er outermost nor central @iber
(d) one
(!ns" a)
-
7/25/2019 Mechanics of Solids GATE bits
5/20
2.#ear stress is maximum at t#e
(a) Futermost @iber
(b) 'entral @iber
(c) eit#er outermost nor central @iber
(d) one
(!ns" b)
23. #ear stress in a Gsection beam is maximum art t#e
(a) Futermost @iber
(b) !t t#e Hunction o@ eb and @lange
(c) 'entral @iber
(d) one
(!ns" b)
25. or a beam o@ circular cross section> t#e ratio ?max/ ?aBis
(a) 2/(b) 3/
(c) /
(d) one
(!ns"c)
26.or a beam o@ triangular cross section> t#e ratio ?max/ ?aBis
(a) /2
(b) /2
(c) 3/2
(d) one(!ns"a)
28.I#ic# one is t#e standard bending equationJ
(a) M/G K /ymin K E/-
(b) M/GK /ymax K -/E
(c) M/G K /yK E/-
(d) one
(!ns"c)
2;. ! beam ill be in $ure bending under a
(a) 'onstant s#ear @orce and a constant bending moment
(b) 'onstant s#ear @orce and Aero bending moment
(c) 'onstant bending moment and Aero s#ear @orce
(d) one
(!ns" c)
-
7/25/2019 Mechanics of Solids GATE bits
6/20
-
7/25/2019 Mechanics of Solids GATE bits
7/20
5. &ending stresses in a beam Bary
(a) Dinearly
(b) Carabolically
(c) 'ubic Bariation
(d) one
(!ns"a)
6. Gn bending> neutral axis alays is
(a) Cer$endicular to t#e centroidal axis
(b) 'oincides it# t#e centroidal axis
(c) Carallel to t#e centroidal axis
(d) one
(!ns"b)
8. &ending equation is a$$licable to a beam o@
(a) ,eterogeneous material(b) ,omogeneous material
(c) !lloy
(d) one
(!ns" b)
;. I#y is a com$osite beam is conBerted into a beam o@ one material
(a) &ending equation is a$$licable to one material beam
(b) &ending equation is a$$licable to one alloy beam
(c) &ending equation is a$$licable to one metal beam
(d) one(!ns"a))
-
7/25/2019 Mechanics of Solids GATE bits
8/20
2. Gn a cantileBer beam> @ibers aboBe t#e neutral axis are in
(a) 7ension
(b) #ear
(c) 'om$ression
(d) one
(!ns" a)
. Cure bending o@ beam ill #aBe
(a) 7ensile and s#ear stresses
(b) 'om$ressiBe and s#ear stresses
(c) 7ensile and com$ressiBe stresses
(d) one
(!ns" c)
. ! bending moment at any $oint o@ a beam is
(a) et bending moment on le@t o@ t#e $oint(b) Maximum bending moment on rig#t o@ t#e $oint
(c) Minimum bending moment on one side o@ t#e $oint
(d) one
(!ns" a)
3. Maximum bending moment in a im$ly u$$orted &eam #aBing a concentrated load at t#e
centre ill be
(a) ID
(b) ID/2
(c) ID/(d) one
(!ns" c)
5. Maximum bending moment in a im$ly u$$orted &eam #aBing a =%D oBer entire lengt#
ill be
(a) D2/2
(b) D2/
(c) D2/8
(d) one
(!ns" c)
6. Maximum bending moment in a cantileBer beam #aBing a =%D oBer entire lengt# ill be
(a) D2/2
(b) D2/
(c) D2/8
(d) one
(!ns" a)
-
7/25/2019 Mechanics of Solids GATE bits
9/20
8.Maximum s#ear @orce in a im$ly u$$orted &eam #aBing a concentrated load at t#e centre
ill be
(a) I
(b) I/2
(c) I/(d) one
(!ns" b)
;. Maximum s#ear @orce in a im$ly u$$orted &eam #aBing a =%D oBer entire lengt# ill be
(a) D/2
(b) D/
(c) D/8
(d) one
(!ns" a)
3 bending moments ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns" a)
3. !t t#e $oints o@ bending moment c#anges sign> s#ear @orce ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns" a)
-
7/25/2019 Mechanics of Solids GATE bits
10/20
3.#ear @orce in a beam is
(a) Carallel to t#e lengt#
(b) Cer$endicular to t#e lengt#
(c) eit#er $arallel nor $er$endicular to t#e lengt#
(d) one(!ns" b)
33.I#ic# moment is considered as $ositiBe
(a) ,ogging
(b) agging
(c) 'loc*ise
(d) one
(!ns" b)
35. ! s#ear @orce at any $oint o@ a beam is(a) Maximum Bertical @orce on le@t o@ t#e $oint
(b) Maximum Bertical @orce on rig#t o@ t#e $oint
(c) et Bertical @orce on one side o@ t#e $oint
(d) one
(!ns" c)
36. ! beam is a sim$ly su$$orted beam #en its moBement is restricted in
(a) Fne ay
(b) 7o ays
(c) 7#ree ays(d) one
(!ns"a)
38.! beam is a #inged beam #en its moBement is restricted in
(a) Fne ay
(b) 7o ays
(c) 7#ree ays
(d) one
(!ns"b)
3;.! beam is a @ixed beam #en its moBement is restricted in
(a) Fne ay
(b) 7o ays
(c) 7#ree ays
(d) one
(!ns"c)
-
7/25/2019 Mechanics of Solids GATE bits
11/20
5
-
7/25/2019 Mechanics of Solids GATE bits
12/20
55. Coint o@ contra@lexure is
(a) I#ere s#ear @orce c#anges sign
(b) I#ere tensile @orce c#anges sign
(c) I#ere bending moment c#anges sign
(d) one
(!ns" c)
56. ,o many $oints o@ contra@lexure can be t#ere in a sim$ly su$$orted beam
(a) Fne
(b) 7o
(c) 7#ree
(d) one
(!ns" d)
58. ,o many $oints o@ contra@lexure can be t#ere in beam #aBing one oBer#ang
(a) Fne(b) 7o
(c) 7#ree
(d) one
(!ns" a)
5;. ,o many $oints o@ contra@lexure can be t#ere in beam #aBing to oBer#angs
(a) Fne
(b) 7o
(c) 7#ree
(d) one(!ns" b)
6 t#e bending moment is
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns"c)
61. !t t#e $oint o@ contra @lexture> t#e s#ear @orce in t#e s#ear @orce diagram ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns"a)
-
7/25/2019 Mechanics of Solids GATE bits
13/20
62.!t t#e su$$orts o@ a sim$ly su$$orted beam> bending moment ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns"c)
6. !t t#e su$$orts o@ a sim$ly su$$orted beam> s#ear @orces ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns"a)
63. Gn case o@ a cantileBer beam> bending moment at t#e @ree end ill be
(a) Maximum(b) Minimum
(c) Lero
(d) one
(!ns"c)
65.Gn case o@ a cantileBer beam> bending moment at t#e @ixed end ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one(!ns"a)
66.Gn case o@ a cantileBer beam> s#ear @orce at t#e @ixed end ill be
(a) Maximum
(b) Minimum
(c) Lero
(d) one
(!ns"a)
68. Gn case o@ a cantileBer beam #aBing concentrated loads> bending moment Bariation ill be
(a) Dinear
(b) Carabolic
(c) 'ubic
(d) one
(!ns"a)
-
7/25/2019 Mechanics of Solids GATE bits
14/20
6;. Gn case o@ a cantileBer beam #aBing =%D> bending moment Bariation ill be
(a) Dinear
(b) Carabolic
(c) 'ubic
(d) one
(!ns"b)
8 s#ear @orce Bariation ill be
(a) Dinear
(b) Carabolic
(c) 'ubic
(d) one
(!ns"d)
81. Gn case o@ a cantileBer beam #aBing =%D> s#ear @orce Bariation ill be
(a) Dinear(b) Carabolic
(c) 'ubic
(d) one
(!ns"a)
82. Mo#r s circle is a gra$#ical met#od to @ind
(a) &ending stresses
(b) Crinci$al stresses
(c) 7orsional s#ear stresses
(d) one(!ns" b)
8. Mo#rs stress circle met#od is used to analyAe a body under
(a) 'om$lex stresses
(b) 7ensile and com$ressiBe stresses
(c) !xial and longitudinal stresses
(d) one
(!ns"a)
8. 7#e abscissa o@ t#e Mo#rs circle is a
(a) #ear stress
(b) ormal stress
(c) ormal as ell as s#ear stress
(d) one
(!ns" b)
-
7/25/2019 Mechanics of Solids GATE bits
15/20
83.7#e ordinate o@ t#e Mo#rs circle is a
(a) #ear stress
(b) ormal stress
(c) ormal as ell as s#ear stress
(d) one
(!ns" a)
85. 7#e $rinci$al strain due to 1(tensile) and 2('om$ressiBe ) stress ill be
(a) (1/E)( 1 + 2)
(b) (1/E)( 1 + 2)
(c) (1/E)( 1 2)
(d) one
(!ns" b)
88.7#e $rinci$al strain due to 1 (com$ressiBe) and 2 (tensile) stress ill be
(a) (1/E)( 1 + 2)(b) (1/E)( 1 + 2)
(c) (1/E)( 1 2)
(d) one
(!ns" c)
8;. 7#e relation beteen t#e elastic constant is
(a) E K 20 (142)
(b) E K 20 (1+2)
(c) E K 20 (1+)
(d) one(!ns"c)
;
-
7/25/2019 Mechanics of Solids GATE bits
16/20
;
-
7/25/2019 Mechanics of Solids GATE bits
17/20
;5.7#e magnitude o@ maximum s#ear stress ill be
Q (1/2)9 ((x 4y)2+ ?2))
-
7/25/2019 Mechanics of Solids GATE bits
18/20
(a) 7ice o@ eac# ot#er
(b) Equal
(c) Fne #al@ o@ t#e ot#er
(d) one
(!ns"b)
1
-
7/25/2019 Mechanics of Solids GATE bits
19/20
(b) 22/E
(c) 2/2E
(d) one
(!ns" a)
1
-
7/25/2019 Mechanics of Solids GATE bits
20/20
(c) mrU2
(d) one
(!ns" b)