Question Bank - Unit IV

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    Encl. 35 a. : QUESTION BANK

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    AE 2203 SOLID MECHANICS

    UNIT IV Torsion

    TB 1

    TB 2REF 1

    Nash William Strength of Materials, TMH, 1998

    Timoshenko.S. and Young D.H. Elements of strength materials Vol. I and Vol. II.,Strength of Materials R.K.Rajput

    Qs. No. Questions

    Univ.QsTextbook

    No.

    Ans -

    Page

    Nos.

    Mark

    TLP No.1 Torsion of Circular Shafts

    1. Define Torsion. May 10 Ref 1 725 22. What are the possible types of loads which can act in shafts? - Ref 1 724 23. Give torsion equation. - Ref 1 726 24. What is the formula for power transmitted by a shaft? May 09 Ref 1 728 25. A solid circular shaft transmits 75kW power at 200rpm. Calculate

    the diameter of shaft , if the twist in shaft is not to exceed 1degree in

    2metres length of shaft, and shear stress is limited to 50 MN/m2

    .Take C=100GN/ m

    2.

    - Ref 1 732

    16

    6. In a Tensile test a piece of 25mm diameter, 200mm gauge length,stretched 0.0975mm under a pull of 50kN. In a torsion test, the same

    rod twisted 0.025radian over a length of 200mm when a torque of

    0.4kNm was applied. Evaluate Poissons ratio and three elastic moduli

    for the material.

    May 10 Ref 1 729

    16

    7. A hollow shaft of external diameter 120mm transmits 300kW power at200rpm. Determine the maximum internal diameter if the maximum

    shear stress in the shaft is not to exceed 60N/mm2.

    - Ref 1 735

    16

    8. A hollow circular shaft 20mm thick transmits 294kW at 200rpm.Determine the diameter of the shaft if shear strain due to torsion is notto exceed 8.6x10-4.

    Take C=8oGN/m2.

    - Ref 1 735

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    TLP No.2 Shear Stresses and twist in Solid and hollow circular shafts Ref 1

    9. Prove that hollow shaft is stronger than solid shaft by comparing thesolid and hollow shaft by strength.

    - Ref 1 7378

    10. Prove that hollow shaft is less than the weight of solid shaft bycomparing the solid and hollow shaft by weight.

    May 09 Ref 1 7388

    11. A solid cylindrical shaft is to transmit 300kW at 100rpm.(i) If the shear stress is not to exceed 80MN/m2, find its

    diameter.

    (ii) What percentage saving in weight would be obtained inthis shaft is replaced by a hollow one whose internal

    diameter equals 0.6 of the external diameter, the length,

    the material and maximum shear stress being the same?

    May 10 Ref 1 740

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    12. A hollow shaft having an inside diameter 60% of its outer diameter is toreplace a solid shaft transmitting the same power at the same speed.

    Calculate the percentage saving in material, if the material to be used is

    also the same.

    - Ref 1 741

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    13. A hollow steel shaft is made to replace a solid wrought iron shaft of thesame external diameter, the material being 35percent stronger than

    iron. Find what fraction of outside diameter the internal diameter

    maybe. Also neglect coupling, find percentage saving in weight by

    substitution, assuming that steel is 2 percent heavier than wroughtiron.

    - Ref 1 742

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    TLP No.3 Closely coiled helical springs Ref 1

    14. What are the types of springs? - Ref 1 813 215. Define closely coiled helical springs. - Ref 1 814 216. Give deflection formula for springs. - Ref 1 81517. A closely coiled helical spring of round steel wire 10mm in diameter

    having 10 complete turns with a mean diameter of 120mm,

    subjected to an axial load of 200N. Determine the deflection of

    spring, Maximum shear stress in the wire and stiffness of spring.

    Take C=80Gpa.

    - Ref 1 819

    18. A closely coiled helical spring is to have a stiffness of 900N/m incompression, with a maximum load of 45N and a maximum shear stressof 120N/mm2. The solid length of spring is 45mm. find

    Ref 1 81816

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    Encl. 35 a. : QUESTION BANK

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    Page 2 of 2

    AE 2203 SOLID MECHANICS

    UNIT IV Torsion

    (i) Wire diameter(ii) Mean radius of coil(iii) Number of coilsTake C= 0.4x105N/mm2.

    19. For a close coiled helical spring subjected to an axial load of 300Nhaving 12 coils of wire diameter 16mm, and made with coil diameter 0f

    250mm, find

    (i) Axial deflection(ii) Strain energy stored(iii) Maximum torsional shear stress in the wire(iv) Maximum shear stress using wahls correction factor.Take : C=80GN/m2.

    - Ref 1 820

    16

    Prepared by: INAMUL HASAN M.

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