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*SLRVB79* SLR-VB – 79 Seat No. Set P S.E. (Mechanical) (Part – I) (CGPA) Examination, 2017 ANALYSIS OF MECHANICAL ELEMENTS Day and Date : Thursday, 4-5-2017 Max. Marks : 70 Time : 3.00 p.m. to 6.00 p.m. Instructions : 1) Answer cannot be changed once it is marked. 2) Don’t forget to mention Que. paper Set on the top of the page. 3) Q. No. 1 is compulsory. It should be solved in first 30 minutes in Answer Book Page No. 3. Each question carries one mark. 4) All the sub-questions in Q. No. 1 are compulsory for one mark each and every question has only one correct answer. 5) Answer MCQ/Objective type questions on Page No. 3 only. Don’t forget to mention, Q.P. Set (P/Q/R/S) on Top of Page. MCQ/Objective Type Questions Duration : 30 Minutes Marks : 14 1. Choose the correct answer : (14×1=14) 1) If E = Young’s Modulus, K = Bulk Modulus and G = Shear Modulus, then a) E = 6KG/(3K + G) b) E = 9KG/(3K + G) c) E = 3KG/(6K + G) d) E = 3KG/(9K + G) 2) Usually, the failure criterion for ductile materials is a) yield tensile strength b) ultimate strength c) yield shear strength d) elastic limit 3) For a body subjected to only simple shear stress, the principal planes are inclined at a) 0° and 90° b) 0° and 180° c) 90° and 180° d) 45° and 135° 4) If diameter of a solid shaft is halved, the power transmitted P will change to a) P/8 b) 8P c) P/2 d) P/4 5) For a simply supported beam carrying a central point load, shape of S.F.D. is a) a rectangle b) a right angled triangle c) an isosceles triangle d) parabolic 6) For a cantilever of length l carrying a U.D.L. of w/m on its entire span, the maximum bending moment is given by a) wl 2 /12 b) wl 2 /2 c) wl 2 /4 d) wl 2 /8 7) The radius of Mohr’s circle always represents a) minimum principal stress b) difference between the principal stresses c) maximum principal stress d) maximum shear stress P.T.O.

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  • SLR-VB 79SeatNo. Set P

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Max. Marks : 70Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Answer cannot be changed once it is marked.2) Dont forget to mention Que. paper Set on the top of the page.3) Q. No. 1 is compulsory. It should be solved in first 30 minutes

    in Answer Book Page No. 3. Each question carries one mark.4) All the sub-questions in Q. No. 1 are compulsory for one

    mark each and every question has only one correct answer.5) Answer MCQ/Objective type questions on Page No. 3 only.

    Dont forget to mention, Q.P. Set (P/Q/R/S) on Top of Page.

    MCQ/Objective Type QuestionsDuration : 30 Minutes Marks : 14

    1. Choose the correct answer : (141=14)

    1) If E = Youngs Modulus, K = Bulk Modulus and G = Shear Modulus, thena) E = 6KG/(3K + G) b) E = 9KG/(3K + G)c) E = 3KG/(6K + G) d) E = 3KG/(9K + G)

    2) Usually, the failure criterion for ductile materials isa) yield tensile strength b) ultimate strengthc) yield shear strength d) elastic limit

    3) For a body subjected to only simple shear stress, the principal planes are inclined ata) 0 and 90 b) 0 and 180c) 90 and 180 d) 45 and 135

    4) If diameter of a solid shaft is halved, the power transmitted P will change toa) P/8 b) 8P c) P/2 d) P/4

    5) For a simply supported beam carrying a central point load, shape of S.F.D. isa) a rectangle b) a right angled trianglec) an isosceles triangle d) parabolic

    6) For a cantilever of length l carrying a U.D.L. of w/m on its entire span, the maximumbending moment is given bya) wl2/12 b) wl2/2c) wl2/4 d) wl2/8

    7) The radius of Mohrs circle always representsa) minimum principal stress b) difference between the principal stressesc) maximum principal stress d) maximum shear stress

    P.T.O.

  • Set P

    SLR-VB 79 -2-

    8) Variation of shear stress across the depth of a section of a beam isa) parabolic b) linearc) cubic d) exponential

    9) For the same area, the strongest section of a beam under bending isa) rectangular section b) I-sectionc) circular section d) T-section

    10) For a simply supported beam of length l carrying a U.D.L. w/m on its entire span,maximum deflection is given bya) 5wl4/384 EI b) wl4/24 EIc) wl4/8 EI d) wl4/48 EI

    11) For a cantilever carrying a point load at the free enda) slope is maximum at the fixed endb) deflection is maximum at the fixed endc) deflection is maximum at the centred) slope is maximum at the free end

    12) For a column with a circular section with diameter d, the least radius of gyration isa) d/2 b) d/8c) d/4 d) d/3

    13) The equivalent length is half the actual length of a column witha) both ends hingedb) both ends fixedc) one end fixed and another end freed) one end fixed and another end hinged

    14) If sg , and i are the stresses induced when the same load acts gradually,suddenly and with impact respectively then

    a) isg >> b) gis >>

    c) sgi >> d) gsi >>______________

  • Set P

    -3- SLR-VB 79

    SeatNo.

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Marks : 56

    Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Solve any two questions from each Section.

    2) Use of scientific calculator is allowed.

    3) Figures to right indicate full marks.

    4) Assume additional suitable data if necessary and state it clearly.

    SECTION I

    2. a) A steel wire 2 m long and 3 mm in diameter is extended by 0.75 mm when a weight

    is suspended from it. If the same weight is suspended from a brass wire 2.5 m

    long and 2 mm in diameter, it is extended by 4.64 mm. Determine Youngs modulus

    of brass if that of steel is 200 GPa. 8

    b) Draw S.F.D. and B.M.D. for a cantilever of length l subjected to a U.D.L. of w/m on

    its entire span. 6

    3. a) A solid steel shaft with diameter 40 mm and length 6 m is fixed at both the ends.

    A torque of 1.25 kNm is applied to it at a section 2.4 m from the left end. Determine

    the shear stresses in the two portions and the angle of twist where the torque is

    applied. Take Modulus of rigidity = 84 GPa. 10

    b) Explain the terms Factory of Safety and Working Stress. 4

    4. a) An element carries the perpendicular stresses 50 MPa tensile and 30 MPa

    compressive. It also carries a shear stress of 30 MPa such that it tends to rotate

    the element anticlockwise when associated with plane of major stress. Calculate

    the principal stresses, maximum shear stress and the positions of their planes. 8

    b) A cantilever 6 m long is fixed at its left end. It carries a U.D.L. of 0.5 kN/m for a

    length of 4 m from the fixed end and a point load of 2 kN at the free end. Draw

    S.F.D. and B.M.D. indicating salient points. 6

  • Set P

    SLR-VB 79 -4-

    SECTION II

    5. a) A beam has a T-section with flange 200 mm 50 mm and the web 200 mm 50 mm.A shear force of 200 kN acts on it. Determine the intensity of shear stressinduced at important points and plot its distribution diagram, 8

    b) Derive Rankines formula to calculate the crippling load of a column. 6

    6. a) A cantilever beam of span 3 m is 15 cm wide and 25 cm deep. It carries a U.D.L.of 20 kN/m on its entire span and a point load of 25 kN at its free end. Calculatemaximum slope and deflection. 8

    b) Two beams with the same length and allowable stress are subjected to the samebending moment. The cross sections of the beams are a square and a rectanglewith depth twice the width. Determine the ratio of the weight of the square beamto that of the rectangular beam. 6

    7. a) A metallic bar has a cross section of 7 cm2 and a length of 1.5 m. ts elastic limit is160 MPa. Calculate the following : 8

    i) its proof resilienceii) maximum load which may be suddenly applied without exceeding the elastic

    limit.iii) the gradual load which will produce the same extension as produced by

    maximum suddenly applied load within the elastic limit.

    b) A solid round bar 60 mm in diameter and 2.5 m long is used as a column with oneend fixed and another end hinged. Determine the safe load using Eulers formulaassuming a factor of safety of 3 and E = 200 GPa. 6

    _____________________

  • SLR-VB 79SeatNo. Set Q

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Max. Marks : 70Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Answer cannot be changed once it is marked.2) Dont forget to mention Que. paper Set on the top of the page.3) Q. No. 1 is compulsory. It should be solved in first 30 minutes

    in Answer Book Page No. 3. Each question carries one mark.4) All the sub-questions in Q. No. 1 are compulsory for one

    mark each and every question has only one correct answer.5) Answer MCQ/Objective type questions on Page No. 3 only.

    Dont forget to mention, Q.P. Set (P/Q/R/S) on Top of Page.

    MCQ/Objective Type QuestionsDuration : 30 Minutes Marks : 14

    1. Choose the correct answer : (141=14)

    1) Variation of shear stress across the depth of a section of a beam isa) parabolic b) linearc) cubic d) exponential

    2) For the same area, the strongest section of a beam under bending isa) rectangular section b) I-sectionc) circular section d) T-section

    3) For a simply supported beam of length l carrying a U.D.L. w/m on its entire span,maximum deflection is given bya) 5wl4/384 EI b) wl4/24 EIc) wl4/8 EI d) wl4/48 EI

    4) For a cantilever carrying a point load at the free enda) slope is maximum at the fixed endb) deflection is maximum at the fixed endc) deflection is maximum at the centred) slope is maximum at the free end

    5) For a column with a circular section with diameter d, the least radius of gyration isa) d/2 b) d/8c) d/4 d) d/3

    6) The equivalent length is half the actual length of a column witha) both ends hinged b) both ends fixedc) one end fixed and another end free d) one end fixed and another end hinged

    P.T.O.

  • Set Q

    SLR-VB 79 -2-

    7) If sg , and i are the stresses induced when the same load acts gradually,suddenly and with impact respectively then

    a) isg >> b) gis >>

    c) sgi >> d) gsi >>

    8) If E = Youngs Modulus, K = Bulk Modulus and G = Shear Modulus, thena) E = 6KG/(3K + G) b) E = 9KG/(3K + G)c) E = 3KG/(6K + G) d) E = 3KG/(9K + G)

    9) Usually, the failure criterion for ductile materials isa) yield tensile strength b) ultimate strengthc) yield shear strength d) elastic limit

    10) For a body subjected to only simple shear stress, the principal planes are inclined ata) 0 and 90 b) 0 and 180c) 90 and 180 d) 45 and 135

    11) If diameter of a solid shaft is halved, the power transmitted P will change toa) P/8 b) 8P c) P/2 d) P/4

    12) For a simply supported beam carrying a central point load, shape of S.F.D. isa) a rectangle b) a right angled trianglec) an isosceles triangle d) parabolic

    13) For a cantilever of length l carrying a U.D.L. of w/m on its entire span, the maximumbending moment is given bya) wl2/12 b) wl2/2c) wl2/4 d) wl2/8

    14) The radius of Mohrs circle always representsa) minimum principal stress b) difference between the principal stressesc) maximum principal stress d) maximum shear stress

    ______________

  • Set Q

    -3- SLR-VB 79

    SeatNo.

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Marks : 56

    Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Solve any two questions from each Section.

    2) Use of scientific calculator is allowed.

    3) Figures to right indicate full marks.

    4) Assume additional suitable data if necessary and state it clearly.

    SECTION I

    2. a) A steel wire 2 m long and 3 mm in diameter is extended by 0.75 mm when a weight

    is suspended from it. If the same weight is suspended from a brass wire 2.5 m

    long and 2 mm in diameter, it is extended by 4.64 mm. Determine Youngs modulus

    of brass if that of steel is 200 GPa. 8

    b) Draw S.F.D. and B.M.D. for a cantilever of length l subjected to a U.D.L. of w/m on

    its entire span. 6

    3. a) A solid steel shaft with diameter 40 mm and length 6 m is fixed at both the ends.

    A torque of 1.25 kNm is applied to it at a section 2.4 m from the left end. Determine

    the shear stresses in the two portions and the angle of twist where the torque is

    applied. Take Modulus of rigidity = 84 GPa. 10

    b) Explain the terms Factory of Safety and Working Stress. 4

    4. a) An element carries the perpendicular stresses 50 MPa tensile and 30 MPa

    compressive. It also carries a shear stress of 30 MPa such that it tends to rotate

    the element anticlockwise when associated with plane of major stress. Calculate

    the principal stresses, maximum shear stress and the positions of their planes. 8

    b) A cantilever 6 m long is fixed at its left end. It carries a U.D.L. of 0.5 kN/m for a

    length of 4 m from the fixed end and a point load of 2 kN at the free end. Draw

    S.F.D. and B.M.D. indicating salient points. 6

  • Set Q

    SLR-VB 79 -4-

    SECTION II

    5. a) A beam has a T-section with flange 200 mm 50 mm and the web 200 mm 50 mm.A shear force of 200 kN acts on it. Determine the intensity of shear stressinduced at important points and plot its distribution diagram, 8

    b) Derive Rankines formula to calculate the crippling load of a column. 6

    6. a) A cantilever beam of span 3 m is 15 cm wide and 25 cm deep. It carries a U.D.L.of 20 kN/m on its entire span and a point load of 25 kN at its free end. Calculatemaximum slope and deflection. 8

    b) Two beams with the same length and allowable stress are subjected to the samebending moment. The cross sections of the beams are a square and a rectanglewith depth twice the width. Determine the ratio of the weight of the square beamto that of the rectangular beam. 6

    7. a) A metallic bar has a cross section of 7 cm2 and a length of 1.5 m. ts elastic limit is160 MPa. Calculate the following : 8

    i) its proof resilienceii) maximum load which may be suddenly applied without exceeding the elastic

    limit.iii) the gradual load which will produce the same extension as produced by

    maximum suddenly applied load within the elastic limit.

    b) A solid round bar 60 mm in diameter and 2.5 m long is used as a column with oneend fixed and another end hinged. Determine the safe load using Eulers formulaassuming a factor of safety of 3 and E = 200 GPa. 6

    _____________________

  • SLR-VB 79SeatNo. Set R

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Max. Marks : 70Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Answer cannot be changed once it is marked.2) Dont forget to mention Que. paper Set on the top of the page.3) Q. No. 1 is compulsory. It should be solved in first 30 minutes

    in Answer Book Page No. 3. Each question carries one mark.4) All the sub-questions in Q. No. 1 are compulsory for one

    mark each and every question has only one correct answer.5) Answer MCQ/Objective type questions on Page No. 3 only.

    Dont forget to mention, Q.P. Set (P/Q/R/S) on Top of Page.

    MCQ/Objective Type QuestionsDuration : 30 Minutes Marks : 14

    1. Choose the correct answer : (141=14)

    1) For a simply supported beam carrying a central point load, shape of S.F.D. isa) a rectangle b) a right angled trianglec) an isosceles triangle d) parabolic

    2) For a cantilever of length l carrying a U.D.L. of w/m on its entire span, the maximumbending moment is given bya) wl2/12 b) wl2/2c) wl2/4 d) wl2/8

    3) The radius of Mohrs circle always representsa) minimum principal stress b) difference between the principal stressesc) maximum principal stress d) maximum shear stress

    4) Variation of shear stress across the depth of a section of a beam isa) parabolic b) linearc) cubic d) exponential

    5) For the same area, the strongest section of a beam under bending isa) rectangular section b) I-sectionc) circular section d) T-section

    6) For a simply supported beam of length l carrying a U.D.L. w/m on its entire span,maximum deflection is given bya) 5wl4/384 EI b) wl4/24 EIc) wl4/8 EI d) wl4/48 EI

    P.T.O.

  • Set R

    SLR-VB 79 -2-

    7) For a cantilever carrying a point load at the free enda) slope is maximum at the fixed endb) deflection is maximum at the fixed endc) deflection is maximum at the centred) slope is maximum at the free end

    8) For a column with a circular section with diameter d, the least radius of gyration isa) d/2 b) d/8c) d/4 d) d/3

    9) The equivalent length is half the actual length of a column witha) both ends hingedb) both ends fixedc) one end fixed and another end freed) one end fixed and another end hinged

    10) If sg , and i are the stresses induced when the same load acts gradually,suddenly and with impact respectively then

    a) isg >> b) gis >>

    c) sgi >> d) gsi >>

    11) If E = Youngs Modulus, K = Bulk Modulus and G = Shear Modulus, thena) E = 6KG/(3K + G) b) E = 9KG/(3K + G)c) E = 3KG/(6K + G) d) E = 3KG/(9K + G)

    12) Usually, the failure criterion for ductile materials isa) yield tensile strength b) ultimate strengthc) yield shear strength d) elastic limit

    13) For a body subjected to only simple shear stress, the principal planes are inclined ata) 0 and 90 b) 0 and 180c) 90 and 180 d) 45 and 135

    14) If diameter of a solid shaft is halved, the power transmitted P will change toa) P/8 b) 8P c) P/2 d) P/4

    ______________

  • Set R

    -3- SLR-VB 79

    SeatNo.

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Marks : 56

    Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Solve any two questions from each Section.

    2) Use of scientific calculator is allowed.

    3) Figures to right indicate full marks.

    4) Assume additional suitable data if necessary and state it clearly.

    SECTION I

    2. a) A steel wire 2 m long and 3 mm in diameter is extended by 0.75 mm when a weight

    is suspended from it. If the same weight is suspended from a brass wire 2.5 m

    long and 2 mm in diameter, it is extended by 4.64 mm. Determine Youngs modulus

    of brass if that of steel is 200 GPa. 8

    b) Draw S.F.D. and B.M.D. for a cantilever of length l subjected to a U.D.L. of w/m on

    its entire span. 6

    3. a) A solid steel shaft with diameter 40 mm and length 6 m is fixed at both the ends.

    A torque of 1.25 kNm is applied to it at a section 2.4 m from the left end. Determine

    the shear stresses in the two portions and the angle of twist where the torque is

    applied. Take Modulus of rigidity = 84 GPa. 10

    b) Explain the terms Factory of Safety and Working Stress. 4

    4. a) An element carries the perpendicular stresses 50 MPa tensile and 30 MPa

    compressive. It also carries a shear stress of 30 MPa such that it tends to rotate

    the element anticlockwise when associated with plane of major stress. Calculate

    the principal stresses, maximum shear stress and the positions of their planes. 8

    b) A cantilever 6 m long is fixed at its left end. It carries a U.D.L. of 0.5 kN/m for a

    length of 4 m from the fixed end and a point load of 2 kN at the free end. Draw

    S.F.D. and B.M.D. indicating salient points. 6

  • Set R

    SLR-VB 79 -4-

    SECTION II

    5. a) A beam has a T-section with flange 200 mm 50 mm and the web 200 mm 50 mm.A shear force of 200 kN acts on it. Determine the intensity of shear stressinduced at important points and plot its distribution diagram, 8

    b) Derive Rankines formula to calculate the crippling load of a column. 6

    6. a) A cantilever beam of span 3 m is 15 cm wide and 25 cm deep. It carries a U.D.L.of 20 kN/m on its entire span and a point load of 25 kN at its free end. Calculatemaximum slope and deflection. 8

    b) Two beams with the same length and allowable stress are subjected to the samebending moment. The cross sections of the beams are a square and a rectanglewith depth twice the width. Determine the ratio of the weight of the square beamto that of the rectangular beam. 6

    7. a) A metallic bar has a cross section of 7 cm2 and a length of 1.5 m. ts elastic limit is160 MPa. Calculate the following : 8

    i) its proof resilienceii) maximum load which may be suddenly applied without exceeding the elastic

    limit.iii) the gradual load which will produce the same extension as produced by

    maximum suddenly applied load within the elastic limit.

    b) A solid round bar 60 mm in diameter and 2.5 m long is used as a column with oneend fixed and another end hinged. Determine the safe load using Eulers formulaassuming a factor of safety of 3 and E = 200 GPa. 6

    _____________________

  • SLR-VB 79SeatNo. Set S

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Max. Marks : 70Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Answer cannot be changed once it is marked.2) Dont forget to mention Que. paper Set on the top of the page.3) Q. No. 1 is compulsory. It should be solved in first 30 minutes

    in Answer Book Page No. 3. Each question carries one mark.4) All the sub-questions in Q. No. 1 are compulsory for one

    mark each and every question has only one correct answer.5) Answer MCQ/Objective type questions on Page No. 3 only.

    Dont forget to mention, Q.P. Set (P/Q/R/S) on Top of Page.

    MCQ/Objective Type QuestionsDuration : 30 Minutes Marks : 14

    1. Choose the correct answer : (141=14)

    1) For a simply supported beam of length l carrying a U.D.L. w/m on its entire span,maximum deflection is given bya) 5wl4/384 EI b) wl4/24 EIc) wl4/8 EI d) wl4/48 EI

    2) For a cantilever carrying a point load at the free enda) slope is maximum at the fixed endb) deflection is maximum at the fixed endc) deflection is maximum at the centred) slope is maximum at the free end

    3) For a column with a circular section with diameter d, the least radius of gyration isa) d/2 b) d/8 c) d/4 d) d/3

    4) The equivalent length is half the actual length of a column witha) both ends hingedb) both ends fixedc) one end fixed and another end freed) one end fixed and another end hinged

    5) If sg , and i are the stresses induced when the same load acts gradually,suddenly and with impact respectively then

    a) isg >> b) gis >>

    c) sgi >> d) gsi >>P.T.O.

  • Set S

    SLR-VB 79 -2-

    6) If E = Youngs Modulus, K = Bulk Modulus and G = Shear Modulus, thena) E = 6KG/(3K + G) b) E = 9KG/(3K + G)c) E = 3KG/(6K + G) d) E = 3KG/(9K + G)

    7) Usually, the failure criterion for ductile materials isa) yield tensile strength b) ultimate strengthc) yield shear strength d) elastic limit

    8) For a body subjected to only simple shear stress, the principal planes are inclined ata) 0 and 90 b) 0 and 180c) 90 and 180 d) 45 and 135

    9) If diameter of a solid shaft is halved, the power transmitted P will change toa) P/8 b) 8P c) P/2 d) P/4

    10) For a simply supported beam carrying a central point load, shape of S.F.D. isa) a rectangle b) a right angled trianglec) an isosceles triangle d) parabolic

    11) For a cantilever of length l carrying a U.D.L. of w/m on its entire span, the maximumbending moment is given bya) wl2/12 b) wl2/2c) wl2/4 d) wl2/8

    12) The radius of Mohrs circle always representsa) minimum principal stress b) difference between the principal stressesc) maximum principal stress d) maximum shear stress

    13) Variation of shear stress across the depth of a section of a beam isa) parabolic b) linearc) cubic d) exponential

    14) For the same area, the strongest section of a beam under bending isa) rectangular section b) I-sectionc) circular section d) T-section

    ______________

  • Set S

    -3- SLR-VB 79

    SeatNo.

    S.E. (Mechanical) (Part I) (CGPA) Examination, 2017ANALYSIS OF MECHANICAL ELEMENTS

    Day and Date : Thursday, 4-5-2017 Marks : 56

    Time : 3.00 p.m. to 6.00 p.m.

    Instructions : 1) Solve any two questions from each Section.

    2) Use of scientific calculator is allowed.

    3) Figures to right indicate full marks.

    4) Assume additional suitable data if necessary and state it clearly.

    SECTION I

    2. a) A steel wire 2 m long and 3 mm in diameter is extended by 0.75 mm when a weight

    is suspended from it. If the same weight is suspended from a brass wire 2.5 m

    long and 2 mm in diameter, it is extended by 4.64 mm. Determine Youngs modulus

    of brass if that of steel is 200 GPa. 8

    b) Draw S.F.D. and B.M.D. for a cantilever of length l subjected to a U.D.L. of w/m on

    its entire span. 6

    3. a) A solid steel shaft with diameter 40 mm and length 6 m is fixed at both the ends.

    A torque of 1.25 kNm is applied to it at a section 2.4 m from the left end. Determine

    the shear stresses in the two portions and the angle of twist where the torque is

    applied. Take Modulus of rigidity = 84 GPa. 10

    b) Explain the terms Factory of Safety and Working Stress. 4

    4. a) An element carries the perpendicular stresses 50 MPa tensile and 30 MPa

    compressive. It also carries a shear stress of 30 MPa such that it tends to rotate

    the element anticlockwise when associated with plane of major stress. Calculate

    the principal stresses, maximum shear stress and the positions of their planes. 8

    b) A cantilever 6 m long is fixed at its left end. It carries a U.D.L. of 0.5 kN/m for a

    length of 4 m from the fixed end and a point load of 2 kN at the free end. Draw

    S.F.D. and B.M.D. indicating salient points. 6

  • Set S

    SLR-VB 79 -4-

    SECTION II

    5. a) A beam has a T-section with flange 200 mm 50 mm and the web 200 mm 50 mm.A shear force of 200 kN acts on it. Determine the intensity of shear stressinduced at important points and plot its distribution diagram, 8

    b) Derive Rankines formula to calculate the crippling load of a column. 6

    6. a) A cantilever beam of span 3 m is 15 cm wide and 25 cm deep. It carries a U.D.L.of 20 kN/m on its entire span and a point load of 25 kN at its free end. Calculatemaximum slope and deflection. 8

    b) Two beams with the same length and allowable stress are subjected to the samebending moment. The cross sections of the beams are a square and a rectanglewith depth twice the width. Determine the ratio of the weight of the square beamto that of the rectangular beam. 6

    7. a) A metallic bar has a cross section of 7 cm2 and a length of 1.5 m. ts elastic limit is160 MPa. Calculate the following : 8

    i) its proof resilienceii) maximum load which may be suddenly applied without exceeding the elastic

    limit.iii) the gradual load which will produce the same extension as produced by

    maximum suddenly applied load within the elastic limit.

    b) A solid round bar 60 mm in diameter and 2.5 m long is used as a column with oneend fixed and another end hinged. Determine the safe load using Eulers formulaassuming a factor of safety of 3 and E = 200 GPa. 6

    _____________________

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  • SLR-VB 91SeatNo. Set P

    T.E. (Mechanical Engineering) (Part I) (CGPA) Examination, 2017METALLURGY

    Day and Date : Saturday, 6-5-2017 Total Marks : 70Time : 10.00 a.m. to 1.00 p.m.

    Instructions : 1) Q. No. 1 is compulsory. It should be solved in first 30 minutesin Answer Book Page No. 3.

    2) Answer MCQ/Objective type questions on Page No. 3 only.Dont forget to mention, Q.P. Set (P/Q/R/S) on Top of Page.

    MCQ/Objective Type QuestionsDuration : 30 Minutes Marks : 14

    1. A) MCQ with only one answer correct : (16=6)

    1) Which of the following element is austenite stabilizer, when added tosteels ?

    a) Silicon b) Manganese

    c) Chromium d) Cobalt

    2) Which of the following alloy is given modification treatment ?

    a) Al-Cu alloy b) Cu-Sn alloy

    c) Al-Si alloy d) Cu-Al alloy

    3) Nitriding treatment is carried out by heating the steel in the range of________C.

    a) 200 300C

    b) 500 550C

    c) 650 700C

    d) Above A3 temp of steel

    4) To measure hardness of hardened and tempered steel, which of the followingharness test is recommended ?

    a) Rockwell b) Brinell

    c) Shores schleroscope d) Vickers

    P.T.O.

  • Set P

    SLR-VB 91 -2-

    5) S-N curve is related to ___________ test/phenomenon.

    a) Creep b) Fatigue

    c) Tensile test d) Impact test

    6) To produce of powders of Zinc and Cadmium which of the following methodis used ?

    a) Atomisation b) Reduction

    c) Carbonyl method d) Condensation from metal vapours

    B) MCQ with more than one answer correct : (24=8)

    1) Which of the following phases present in Fe-FE3C diagram have BCCstructure ?

    a) Ferrite b) Austenite

    c) Cementite d) Delta iron

    2) Which of the following are proeutectoid constituents present in steelsbetween A3 and A1 temperatures ?

    a) Ferrite b) Austenite

    c) Cementite d) Pearlite

    3) Which of the following annealing processes are called sub critical annealing ?

    a) Recovery b) Recrystallisation

    c) Homogenisation d) Spherodisation

    4) In welding/fabrication industry, which of the following NDT is commonlyemployed ?

    a) Radiography b) Ultrasonic test

    c) Dye penetrant test d) Magnetic particle test

    ______________

  • Set P

    -3- SLR-VB 91

    SeatNo.

    T.E. (Mechanical Engineering) (Part I) (CGPA) Examination, 2017METALLURGY

    Day and Date : Saturday, 6-5-2017 Marks : 56Time : 10.00 a.m. to 1.00 p.m.

    Instructions : 1) Attempt any two questions from each Section.2) Neat sketches must be