Mechanical Properties of Solids — Class 11 CBSE Physics revision notes
A 5-page visual revision sheet for Mechanical Properties of Solids, written for Class 11 CBSE Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
Page 1 as PDFA preview of page 1 — all 5 pages open full size in the app.
Mechanical Properties of Solids in one look
push, pull, or twist it, and it stretches back to tell you how stiff it is
Stress and strain
a solid is deformable: a force changes its shape or size
elastic: it regains its shape once the force is removed
stress is the restoring force per unit area, N/m^2 or Pa
same dimensions as pressure, but a stress acts inside the body
strain is the fractional change, no units
Three kinds of stress and strain
Type
Stress
Strain
Longitudinal
F/A along the length
Δ L / L
Shearing
F/A along the face
Δ x / L = tanθ
Volume
pressure change Δ P
Δ V / V
Shear and all round pressure
shear: a force along the top face, the foot held
the block leans through θ, and for small θ the strain is the angle
all round: the same pressure on every face, shape unchanged
the volume shrinks, and the volume strain is Δ V / V
Hooke's law
within the elastic limit, stress is proportional to strain
stress = modulus × strain, the modulus is the constant
for a wire or a spring, the stretch is proportional to the load
so the load stretch graph is a straight line through the origin
unload it and the hanger comes back
Page 1 of 5. The full sheet, all 5 pages, opens free in the app.
What this Mechanical Properties of Solids sheet covers
Stress and strain
Three kinds of stress and strain
Shear and all round pressure
Hooke's law
The stress strain curve
Ductile, brittle, elastomer
Ductile
Brittle
Elastomer
Young's modulus
longitudinal stress over longitudinal strain
extension of a wire under load
unit, the same as stress
Reading Searle's apparatus
Shear modulus, bulk modulus, Poisson's ratio
shear modulus, shear stress over shear strain
bulk modulus, pressure change over volume strain
compressibility
Poisson's ratio, lateral over longitudinal strain
Bulk modulus: solid, liquid, gas
Moduli in the limits
Strain energy
energy stored in a stretched wire
energy per unit volume
in terms of Y and strain
Energy goes round
Uses of elasticity
sag at the middle of a bar of breadth b and depth d
These notes are not a standalone PDF. CapCompass plans Physics chapter by chapter against your real exam dates and free hours, and when the plan reaches Mechanical Properties of Solids the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.