medium8 marks

Mechanics of Materials

19 Topics

35h prep

36% subject weight

19 Topics

Stress and strain

Normal/shear stress and strain, Hooke's law.

1m3/10

📌 Key Formulaσ = P/A, ε = δ/L, σ = Eε

Elastic constants

Young's modulus, shear modulus, bulk modulus relations.

1m3/10

📌 Key FormulaG = E/2(1+ν), K = E/3(1-2ν)

Poisson's ratio

Lateral strain to axial strain ratio.

1m2/10

📌 Key Formulaν = - (lateral/axial)

Mohr’s circle for plane stress and plane strain

Graphical representation of stress/strain transformation.

2m4/10

📌 Key FormulaCenter (σavg), Radius

Thin cylinders

Stress in thin-walled pressure vessels.

1m3/10

📌 Key FormulaHoop σ_h = pd/2t, Long σ_l = pd/4t

Shear force

Internal force parallel to cross-section.

1m3/10

📌 Key FormulaV = integral of load

Bending moment diagrams

Internal moment causing bending.

1m3/10

📌 Key FormulaM = integral of shear

Bending and shear stresses

Flexure formula and shear stress distribution.

2m4/10

📌 Key Formulaσ = My/I, τ = VQ/It

Concept of shear centre

Point where shear force causes no torsion.

1m4/10

📌 Key FormulaFor channel, I-section

Deflection of beams

Methods like double integration, moment area, conjugate beam.

2m4/10

📌 Key FormulaEI y'' = M(x)

Torsion of circular shafts

Shear stress and angle of twist in shafts.

1m3/10

📌 Key Formulaτ = Tr/J, θ = TL/GJ

Euler’s theory of columns

Buckling load for slender columns.

1m4/10

📌 Key FormulaP_cr = π²EI / (KL)^2

Energy methods

Castigliano's theorem, strain energy for deflection.

1m4/10

📌 Key Formula∂U/∂P = δ

Thermal stresses

Stresses due to temperature change with constraints.

1m3/10

📌 Key Formulaσ_thermal = E α ΔT

Strain gauges

Measurement of strain using gauges.

1m3/10

📌 Key FormulaGauge factor

Rosettes

Strain gauge arrangements for principal strains.

1m4/10

📌 Key FormulaFor 45° or 60° rosette

Testing of materials with universal testing machine

Tensile/compression tests on UTM.

1m3/10

📌 Key FormulaStress-strain curve parameters

Testing of hardness

Brinell, Rockwell, Vickers tests.

1m3/10

📌 Key FormulaBHN = 2P / πD (D - sqrt(D²-d²))

Testing of impact strength

Charpy and Izod tests for toughness.

1m3/10

📌 Key FormulaEnergy absorbed

medium8 marks

Mechanics of Materials

19 Topics

35h prep

36% subject weight

19 Topics

Stress and strain

Normal/shear stress and strain, Hooke's law.

1m3/10

📌 Key Formulaσ = P/A, ε = δ/L, σ = Eε

Elastic constants

Young's modulus, shear modulus, bulk modulus relations.

1m3/10

📌 Key FormulaG = E/2(1+ν), K = E/3(1-2ν)

Poisson's ratio

Lateral strain to axial strain ratio.

1m2/10

📌 Key Formulaν = - (lateral/axial)

Mohr’s circle for plane stress and plane strain

Graphical representation of stress/strain transformation.

2m4/10

📌 Key FormulaCenter (σavg), Radius

Thin cylinders

Stress in thin-walled pressure vessels.

1m3/10

📌 Key FormulaHoop σ_h = pd/2t, Long σ_l = pd/4t

Shear force

Internal force parallel to cross-section.

1m3/10

📌 Key FormulaV = integral of load

Bending moment diagrams

Internal moment causing bending.

1m3/10

📌 Key FormulaM = integral of shear

Bending and shear stresses

Flexure formula and shear stress distribution.

2m4/10

📌 Key Formulaσ = My/I, τ = VQ/It

Concept of shear centre

Point where shear force causes no torsion.

1m4/10

📌 Key FormulaFor channel, I-section

Deflection of beams

Methods like double integration, moment area, conjugate beam.

2m4/10

📌 Key FormulaEI y'' = M(x)

Torsion of circular shafts

Shear stress and angle of twist in shafts.

1m3/10

📌 Key Formulaτ = Tr/J, θ = TL/GJ

Euler’s theory of columns

Buckling load for slender columns.

1m4/10

📌 Key FormulaP_cr = π²EI / (KL)^2

Energy methods

Castigliano's theorem, strain energy for deflection.

1m4/10

📌 Key Formula∂U/∂P = δ

Thermal stresses

Stresses due to temperature change with constraints.

1m3/10

📌 Key Formulaσ_thermal = E α ΔT

Strain gauges

Measurement of strain using gauges.

1m3/10

📌 Key FormulaGauge factor

Rosettes

Strain gauge arrangements for principal strains.

1m4/10

📌 Key FormulaFor 45° or 60° rosette

Testing of materials with universal testing machine

Tensile/compression tests on UTM.

1m3/10

📌 Key FormulaStress-strain curve parameters

Testing of hardness

Brinell, Rockwell, Vickers tests.

1m3/10

📌 Key FormulaBHN = 2P / πD (D - sqrt(D²-d²))

Testing of impact strength

Charpy and Izod tests for toughness.

1m3/10

📌 Key FormulaEnergy absorbed