Unique Series

Unique series is initiative by Civil Mantraa to help engineering student in their academic

Course available for 7 months after purchase

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Unit I  
Introduction: Review of two-dimensional force systems, free body diagram, equilibrium of force systems, laws of friction, equilibrium analysis of 
simple systems involving friction. 
Trusses: Introduction, simple truss and solution of a simple truss, methods of joints, methods of sections. 
Beam: Introduction, shear force and bending moment, different equations of equilibrium, shear force and bending moment diagram for 
statically determined beams.  
Unit II 
Centroid and moment of inertia: Centroid of plane, curve, area, volume and composite bodies, moment of inertia of plane area, parallel axis 
theorem, perpendicular axis theorem, concept and importance of principal moment of inertia. 
Compound stress and strains: Introduction, normal stress and strain, shear stress and strain, stress on inclines sections, state of plane stress, 
principal stress and strain, maximum shear stress, Mohr’s circle for plane stress, theories of failure, strain energy, impact loads and stresses, 
thermal Stresses, introduction to three-dimensional stresses. 
Unit III (8 Hours) 
Stresses in Beams: Pure Bending, normal stresses in beams, shear stresses in beams due to transverse and axial loads, composite beams. 
Deflection of Beams: Differential equation of the elastic curve, cantilever and simply supported beams, Macaulay’s method, area moment 
method, fixed and continuous beams.   
Torsion: Torsion, combined bending and torsion of solid and hollow shafts, torsion of thin-walled tubes.     
Unit IV (8 Hours) 
Helical and Leaf Springs: Deflection of springs, helical springs under axial load and under axial twist (for circular cross sections), axial load and 
twisting moment acting simultaneously both for open and closed coiled springs, concept of laminated springs.   
Columns and Struts: Buckling and stability, slenderness ratio, combined bending and direct stress, middle third and middle quarter rules, struts 
with different end conditions, Euler’s theory for pin-ended columns, effect of end conditions on column buckling, Ranking Gordon formulae.   
Unit V (8 Hours)                
Thin cylinders & spheres: Introduction, difference between thin-walled and thick-walled pressure vessels, thin-walled spheres and cylinders, 
hoop and axial stresses and strain, and volumetric strain.   
Thick cylinders: Radial, axial and circumferential stresses in thick cylinders subjected to internal or external pressures, compound cylinders, 
stresses in rotating shafts and cylinders, stresses due to interference fits. 

Engineering  Mechanics & Strength of Material | BME402 | Mechanical Engineering

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Important Question 2025

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Law of Parallelogram of Force
Principle of Transmissibility
Free Body Diagram ( FBD)
Lami’s Theorem
Numerical

Part 1 :- Review of two-dimensional force systems

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Moment & Couple
Moment of force
TYPE OF MOMENT
PRINCIPLE OF MOMENTS
ENGINEERING APPLICATIONS OF MOMENTS
COUPLE

Part 2 :- Moment & Couple

Unique Series - Civil Mantraa

Maharashtra

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Hey! I’m learning with Unique Series - Civil Mantraa and you can too. Here’s a course you might like: Engineering  Mechanics & Strength of Material | BME402 | Mechanical Engineering by Unique Series
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Hey! I’m learning with Unique Series - Civil Mantraa and you can too. Here’s a course you might like: Engineering  Mechanics & Strength of Material | BME402 | Mechanical Engineering by Unique Series
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