3rd Sem, Tool & Die Diploma

22031: Strength of Materials Tool & Die 3rd Sem Syllabus for Diploma TNDTE M Scheme

Strength of Materials detail TNDTE Diploma syllabus for Mechanical Engineering (Tool & Die) (T&D), M scheme is extracted from TNDTE official website and presented for diploma students. The course code (22031), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.

For all other tool & die 3rd sem syllabus for diploma m scheme tndte you can visit Tool & Die 3rd Sem Syllabus for Diploma M Scheme TNDTE Subjects. The detail syllabus for strength of materials is as follows.

Rationale:

Day by day, engineering and technology experience tremendous growth. Design plays a major role in developing engineering and technology. Strength of material is backbone for design. The strength of material deals generally with the behaviour of objects, when they are subject to actions of forces. Evaluations derived from these basic fields provide the tools for investigation of mechanical structure.

Objectives:

  • Define various mechanical properties of materials.
  • Calculatethedeformationofmaterials,whicharesubjectedtoaxialloadand shear.
  • DeterminethemomentofInertiaofvarioussectionsusedinindustries.
  • Estimate the stresses induced in thin shells.
  • DrawtheGraphicalrepresentationofshearforceandbendingmomentofthe beam subjected to different loads.
  • Construct SFD and BMD.
  • Calculate the powertransmitted by the solid & hollowshafts.
  • Distinguishdifferenttypesofspringandtheirapplications.

Detailed Content:

Unit I

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Unit II

Geometrical Properties Of Sections And Thin Shells

  1. Properties of sections: Definition – center of gravity and centroid – position of centroids of plane geometrical figures such as rectangle, triangle, circle and trapezium-problems to determine the centroid of angle, channel, T and I sections only – Definition-centroidal axis-Axis of symmetry. Moment of Inertia – Statement of parallel axis theorem and perpendicular axis theorem. Moment of Inertia of lamina of rectangle, circle, triangle, I and channel sections-Definition-Polar moment of Inertia-radius of gyration – Problems computing moment of inertia and radius of gyration for angle, T, Channel and I sections.
  2. Thin Shells: Definition – Thin and thick cylindrical shell – Failure of thin cylindrical shell subjected to internal pressure – Derivation of Hoop and longitudinal stress causes in a thin cylindrical shell subjected to internal pressure – simple problems – change in dimensions of a thin cylindrical shell subjected to internal pressure – problems – Derivation of tensile stress induced in a spherical shell subjected to internal pressure – simple problems – change in diameter and volume of a thin spherical shell due to internal pressure – problems.

Unit III

Lateral Deformation (Sf And Bm Diagrams, Deflection Of Beams)

Classification of beams – Definition – shear force and Bending moment -sign conventions for shear force and bending moment – types of loadings -Relationship between load, force and bending moment at a section – shear force diagram and bending moment diagram of cantilever and simply supported beam subjected to point load and uniformly distributed load (udl) – Determination of Maximum bending moment in cantilever beam and simply supported beam when they are subjected to point load and uniformly distributed load.

Definition – slope, deflection, stiffness and flexural rigidity – Derivations of relationship between slope, Deflection and Radius of curvature – Derivation of slope and deflections of cantilever and simply supported beam by area moment method under point load and udl load- simple problems.

Unit IV

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Unit V

Torsion And Springs

Theory of torsion – Assumptions – torsion equation T/J = fs/R = C0/l – strength of solid and hollow shafts – power transmitted – Definition – Polar modulus -Torsional rigidity – strength and stiffness of shafts – comparison of hollow and solid shafts in weight and strength considerations – Advantages of hollow shafts over solid shafts – Problems.

Types of springs – Laminated and coiled springs and applications – Types of coiled springs – Difference between open and closely coiled helical springs – closely coiled helical spring subjected to an axial load – problems to determine shear stress, deflection, stiffness and resilience of closed coiled helical springs.

Text Books:

  1. Strength of Materials ,R. S. Khurmi, , S.Chand & Co., Ram Nagar, New Delhi – 2002
  2. Strength of Materials, S. Ramamrutham, 15 Edn 2004, DhanpatRai Pub Co., New Delhi,

Reference Books:

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Model Question Pper – 1

Time: 3 Hour

Max Marks : 75

PART – A Marks 15 x 1 = 15

Answer any 15 Questions – All Questions Carry Equal Marks

  1. Define Ductility
  2. State the relationship between E and K
  3. State Hooke’s law
  4. What is lateral strain
  5. State the parallel axis theorem
  6. Define Hoop Stress
  7. Define Thin cylindrical shell
  8. Define Moment of inertia
  9. What is radius of curvature
  10. Define Slope
  11. Define Bending moment
  12. State the relationship between BM and SF
  13. What is neutral axis
  14. Write a formula for bending equation
  15. Define section modulus
  16. Define centre of curvature
  17. What is twisting moment
  18. State the application of laminated spring
  19. List out the types of springs
  20. What is polar moment of inertia.

Part – B

Marks 5 x 12=60

Answer all the Questions

      1. A steel bar 2m long 20mm wide and 10mm thick is subjected to an axial pull of 20KN in the direction of its length. Determine the changes in length and volume.Take E = 2 x 105 N/mm2 and 1/m = 0 . 3 (4)
      2. A brass tube of 50mm outside diameter, 45mm inside diameter and 300mm long is compressed between end washers with load of 24 . 5KN . Reduction in length is 0 . 0015mm. Determine the stress, strain and Young’s modulus.(8)

    (or)

    1. A weight of 9 . 8KN is dropped on to a collar at the lower end of a vertical bar 3m long and 32mm diameter. Calculate the height of drop, if the maximum instantaneous stress is not to exceed 240N/mm2. What is the corresponding instantaneous elongation? Assume E = 2 x 105 N/mm2. (12)
      1. Find the centroid of a channel section 100 x 50 x 15 mm (4)
      2. Determine the change in diameter, change in volume of the spherical shell 2m in diameter and 12mm thick subjected to an internal pressure of 2 N/mm2.e E = 2 x 105N/mm2 and 1/m = 0 . 25 (4)

    (or)

    1. A thin cylindrical shell of 1m internal diameter 5mm thick and 2 . 5m long is filled with a fluid under pressure until its volume increases by 40 x 106 mm3. Determine the pressure exerted by the fluid on the shell. Take E = 2 x 105 N/mm2 and 1/m = 0 . 25 (12)
    1. A beam is freely supported over a span of 8m. It carries a point load of 3KN at 2m from left hand support and an udl of 2KN/m from the centre upto the right hand support. Draw the SFD abd BMD. (12)

      2. (or)

    2. A cantilever2m long carries a point load of20KNat 0 . 8m from the fixed end and another point load of 5KN at the free end. In addition, a udl of 15KN/m is spread over the entire length of the cantilever. Draw SFD and BMD (12)
      1. StatetheassumptionsmadeinthetheoryofSimplebending. (4)
      2. A wooden beam of rectangular section 100 x 200 mm is simplysupportedoveraspanof6m. Determinetheudlitmay carry, if the bending stress is not to exceed 7 . 5 N/mm2 . Estimate the concentrated load it may carry at the centre of the beam with the same permissible stress.(8)

    (or)

    A beam of T-section flange 150mm x 50mm web thickness

      1. 50mm, overall depth 200mm and 10m long is simply supported a central point load of 10KN. Determine the maximum fibre stresses in the beam.(6)
      2. Derive the flexural formula I y R (6)

    1. A truck weighing 30KN and moving at 5 Km/hr has to be brought to rest by buffer. Find how many springs, each of 18 coils will be required to the energy of motion during a compression of 200mm. The spring is made out of 25mm diametersteel rod coiled to a mean diameterof240mm. Take N=0 . 84x105N/mm2. (12)

      2. (or)

      1. A solid shaft 20mm diameter transmits 10KW at 1200rpm. Calculate the maximum intensity of shear stress induced and angle of twist in degrees in a length of 1m, if modulus of rigidity for the shaft material is 8 x 104 N/mm2. (6)
      2. A closed coiled spring made of steel wire 100mm diameter has 10 coils of 120mm mean diameter. Calculate the deflection under an axial load of 100N and stiffness of the spring. Take C = 1 . 2mPa . (6)

Model Question Paper – 2

Time: 3 Hour

Max Marks : 75

Part – A

Marks 15×1=15 Answer any 15 Questions – All Questions Carry Equal Marks

  1. Define toughness.
  2. Define poission’s Ratio.
  3. Define proof resilience.
  4. Write any two elastic constant.
  5. Define centroid.
  6. Write down the unit of moment of Inertia.
  7. Define thin cuclinder.
  8. Define Moment of inertia
  9. List out the types of beams.
  10. Define sheer force.
  11. Define the term deflection.
  12. Define radius of curvature.
  13. Define the term bending stress.
  14. Define Neutral axis.
  15. What is limiting friction?
  16. Define Static friction.
  17. Define pure torsion.
  18. Write any two advantages of hollow shafts over solid shafts.
  19. Give the applications of tension springs.
  20. Define stiffness of spring.

Part – B

Marks 5 x 12=60

Answer all the Questions

      1. Determine the value of Poisson’s Ratio and Young’s modulus of Rigidity of the material is 0 . 5 x 105 N/mm2 and bulk modulus 0 . 8x 105 N/mm2 (6)
      2. Draw stress – strain for a mild steel specimen loaded upto failure and explain the salient features.(6)

    (or)

      1. A copper rod 30mm is surrounded tightly by a cast iron tube of 60mm outside diameter the ends being firmly fastened together. When put to a compressive load of 12kN. What load will be shared by each? Also estimate the amount by which the compound bar shortens in a length of 10mm. Assume ECI = 1 . 2 x 105 N/mm2 and Ec = 1x105N/mm2 (8)
      2. Calculate the Strain Energy that can be stored in a steel bar 40mm in diameter and 3m long subjected to a pull of 100KN. Given E=200KN/mm2 (4)

      1. State Parallel axis theorem. (4)
      2. An I-Section has the top Flange 120mm x 120mm thick, web 180mm x 20mm thick and the bottom flange 200mm x 40mm thick. Calculate the Ixx, Iyy, Kxx and Kyy of the section.(8)

    (or)

      1. What working pressure may be allowed in a boiler shell 1 . 8m diameters with plates 15mm thick, if the permissible tensile stress in the solid plate is not to exceed 70 N/mm2 (3)
      2. A Cylindrical Shell 24 m long, 600mm in diameter is made up of 15mm thick plates. Fine the change in length, diameter and volume of the cylinder when the shell is subjected to an internal pressure of 2N/mm2. E=2 x 105 N/mm2 1/m=0 . 3 (9)

      1. A cantilever of span 5m is loaded with three poin load of 2KN at 2, 4, 5m from the fixed end in addition to a UDL of 1KN/m to a length of 4m from the fixed end. Draw SF and BM diagram. (6)
      2. A simply supported beam of 5m span carries a UDL of 2 KN/m over the entire span. In addition the beam carries a point load of 4KN at a distance of 2m from the left support. Draw SFD and BMD.(6)

    (or)

      1. A Cantilever 2m long, 100mm wide and 200mm deep carries a concentrated load of 5KN at the free end. Find the max slope and deflection. E= 2 x 105 N/mm2 (4)
      2. A cantilever beam 6m long is subjected to a UDL of W KN/m speed over the entire span. Assuming Rectangular section with depth equal to twice the width determine the size of the beam so that the max deflection does not exceed 15mm. the max stress should not exceed 100 N/mm2 E=2 x 105 N/mm2 (8)

      1. Calculate the max stress in a piece of rectangular steel strip 25mm wide and 3mm thick when it is bend round a drum, 2 . 5m diameter. E= 2 x 105 N/mm2 (6)
      2. Derive the relationship between the curvature slope and deflection of the beam.(6)

    (or)

      1. Enumerate the laws of static and dynamic friction. (8)
      2. Explain the term friction? What is limiting friction? (4)

      1. State the assumptions made in the derivation of the tension formula. (4)
      2. A solid shaft has to transmit 10 kw at 210rpm. The max. torque transmitted is each revolution exceeds the mean by 30% If the Shear stress is not to exceed 80 N/mm2. Find a suitable diameter of the solid shaft. Calculate the angle of twist for a length of 2 meters. C=0 . 8 X105 N/mm2 (8)

    (or)

      1. Distinguish between C closely coiled helical springs and an open coiled helical spring. (4)
      2. Design a closely coiled spring of stiffness 20 N/mm deflection. The max. shear stress in the spring metal is not exceed 80 N/mm2 under a load of 600 N. The diameter of the coil is to be 10 times the diameter of the wire. Take the modulus of Rigidity as 85 KN/mm2. (8)

For detail syllabus of all other subjects of BE Tool & Die, M scheme do visit Tool & Die 3rd Sem syllabus for M scheme.

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