mechanics of solids gate bits

7/25/2019 Mechanics of Solids GATE bits

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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)


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)

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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)


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)


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)


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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))


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)


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)


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)


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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)


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)


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)


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)

;


16/20

;


17/20

;5.7#e magnitude o@ maximum s#ear stress ill be

Q (1/2)9 ((x 4y)2+ ?2))


18/20

(a) 7ice o@ eac# ot#er

(b) Equal

(c) Fne #al@ o@ t#e ot#er

(d) one

(!ns"b)

1


19/20

(b) 22/E

(c) 2/2E

(d) one

(!ns" a)

1


20/20

(c) mrU2

(d) one

(!ns" b)

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