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Civil EngineeringWBPSC AE · SSC JE · RRB JE

Engineering Mechanics— Important Topics, Formulas & MCQs

Engineering Mechanics is the study of forces and their effects on bodies at rest (statics) and in motion (dynamics). It provides the fundamentals for Strength of Materials and Structural Analysis and supplies several easy conceptual marks.

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Important topics in Engineering Mechanics

Force systems & resultants
Equilibrium & free body diagrams
Trusses — method of joints & sections
Friction
Centroid & moment of inertia
Virtual work
Kinematics & kinetics of particles
Projectile motion
Work, energy & power
Simple machines
Must-know

Key concepts & formulas — Engineering Mechanics

Maximum projectile range

Occurs at a projection angle of 45° on level ground; R = u²sin2θ/g.

Conditions of equilibrium

ΣFx = 0, ΣFy = 0, ΣM = 0 for a coplanar force system.

Truss analysis

Identify zero-force members first, then use method of joints/sections.

Moment of inertia

Parallel axis theorem: I = IG + Ad². Foundational for bending and buckling.

Exam relevance

2–4 questions in AE/JE papers; quick marks and a base for heavier subjects.

Study tip

Truss analysis and equilibrium are the highest-frequency topics — practise both methods of truss solution.

Worked example

Sample Engineering Mechanics MCQ

The maximum range of a projectile on level ground is achieved at a projection angle of:

A. 30°
B. 45°
C. 60°
D. 90°
Answer: B. R = u²·sin2θ/g is maximum when sin2θ = 1, i.e. 2θ = 90°, so θ = 45°. (Maximum height occurs at 90°.)

Common mistakes to avoid

Maximum range is at 45°; maximum height (vertical) is at 90°.
Identify zero-force members before applying the method of joints.
Parallel axis theorem: I = IG + Ad² — don't forget the Ad² term.
Limiting friction = μN (depends on the normal reaction, not just μ).
Keep going

Related Civil Engineering subjects

Strength of Materials
RCC
Steel Structures
Soil Mechanics
Foundation Engineering
Surveying
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