Previous year question paper for SOM (Diploma Mechanical Engineering 4th)

1. Stresses and Strains (12 hrs)

1.1 Concept of load, stresses and strain

1.2 Tensile compressive and shear stresses and strains

1.3 Concept of Elasticity, Elastic limit and limit of proportionality.

1.3.1 Hook's Law

1.3.2 Young Modulus of elasticity

1.3.3 Nominal stress

1.3.4 Yield point, plastic stage

1.3.5 Strain hardening

1.3.6 Ultimate strength and breaking stress

1.3.7 Percentage elongation

1.3.8 Proof stress and working stress

1.3.9 Factor of safety

1.3.10 Shear modulus

1.3.11 Strain energy due to direct stresses

1.3.12 Proof resilience and modulus of resilience

1.3.13 Stresses due to gradual, sudden and falling load

1.4 Longitudinal and circumferential stresses in seamless thin walled

cylindrical shells (derivation of these formulae not required).

2. Moment of Inertia (10 hrs)

2.1. Concept of moment of inertia and second moment of area

2.2. Radius of gyration

2.3. Second moment of area of common geometrical sections:

Rectangle, Triangle, Circle(without derivation), Second moment of

area for L,T and I section

2.4. Section modulus

3. Beams and Bending Stress (16 hrs)

3.1. Bending and shearing force

3.1.1. Concept of beam, form of loading

3.1.2. Concept of end supports Roller, hinged and fixed

3.1.3. Concept of bending moment and shearing force 

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3.1.4. B.M. and S.F. Diagram for cantilever and simply supported

beams with and without overhang subjected to

concentrated and U.D.L.

3.2. Bending stresses

3.2.1 Concept of Bending stresses

3.2.2 Bending Equation

3.2.3 Theory of simple bending

3.2.4 Use of the equation f/y = M/I = E/R

3.2.5 Concept of moment of resistance

3.2.6 Bending stress diagram

3.2.7 Calculation of maximum bending stress in beams of

rectangular, circular, I and T section.

3.2.8 Permissible bending stress Section modulus for

rectangular, circular and symmetrical I section.

3.3. Laminated Spring(Semi elliptical type only)

3.3.1. Determination of number of plates

3.3.2. Maximum bending stress and deflection.

3.4. Combined direct and bending stresses

3.4.1. Simple cases of short columns of uniform section subjected

to eccentric loading with stress diagram

4. Columns (08 hrs)

4.1. Concept of column, modes of failure

4.2. Types of columns

4.3. Buckling load, crushing load

4.4. Slenderness ratio

4.5. Factors effecting strength of a column

4.6. End restraints

4.7. Effective length

4.8. Strength of column by Euler Formula without derivation

4.9. Rankine Gourdan formula (without derivation)

5. Torsion (10 hrs)

5.1. Concept of torsion- difference between torque and torsion, Torsion

equation.

5.2. Use of torque equation for circular shaft

5.3. Comparison between solid and hollow shaft with regard to their

strength and weight.

5.4. Power transmitted by shaft

5.5. Concept of mean and maximum torque

6. Helical SprinClgs (08 hrs)

6.1. osed coil helical springs

subjected to axial load and impact load

6.2. Stress deformation

6.3. Stiffness and angle of twist and strain energy

6.4. Proof resilience