The class 11 physics formula sheet chapter 8 mechanical properties of solids gathers every stress, strain and elastic modulus formula tested in the Boards, JEE Main, JEE Advanced, NEET, CUET and NDA exams. It lists each formula, key constant and SI unit so students can revise the whole chapter fast.
Mechanical Properties of Solids explains how a solid stretches, compresses or twists under a force, so its elastic moduli return in every deformation numerical.
- Covers stress, strain and the three elastic moduli, plus Poisson's ratio and elastic energy.
- Lists the SI units and dimensional nature of each quantity for quick recall.
- Helps students solve wire-extension, volume-change and shear numericals with one lookup.
This class 11 physics formula sheet chapter 8 mechanical properties of solids is curated by subject experts and checked against the 2026-27 NCERT and recent CBSE and JEE papers.
All Mechanical Properties of Solids Formulas at a Glance
Every elasticity formula sits in one table below, with its meaning and SI unit. Learn the three modulus rows first, since almost every numerical uses them.
| Formula | What it means | SI unit |
|---|---|---|
| σ = F/A | Stress, the restoring force per unit area | pascal (Pa) |
| ε = ΔL/L | Longitudinal strain, the fractional change in length | Dimensionless |
| Y = (F/A)/(ΔL/L) = FL/(AΔL) | Young's modulus, tensile stress over tensile strain | pascal (Pa) |
| B = −P/(ΔV/V) | Bulk modulus, pressure over volumetric strain | pascal (Pa) |
| G = (F/A)/θ | Shear (rigidity) modulus, shear stress over shear strain | pascal (Pa) |
| ν = −(Δd/d)/(ΔL/L) | Poisson's ratio, lateral strain over longitudinal strain | Dimensionless |
| u = ½ × stress × strain = ½σε | Elastic potential energy stored per unit volume | J m-3 |
| k = 1/B | Compressibility, the reciprocal of bulk modulus | Pa-1 |
All three elastic moduli have the same unit as stress, the pascal, because strain is dimensionless.
Key Constants and Definitions for Mechanical Properties of Solids
Boards and entrance papers often ask for a definition or a typical modulus value. The list below has the key terms and rough Young's modulus values students should recall.
- Hooke's law: within the elastic limit, stress ∝ strain, so stress/strain is a constant modulus.
- Elastic limit: the maximum stress a solid can take and still return to its original shape.
- Young's modulus of steel ≈ 2 × 1011 Pa; copper ≈ 1.1 × 1011 Pa.
- Three stress types: tensile or compressive (length), volumetric (volume) and shearing (shape).
- Poisson's ratio for most metals lies between 0.2 and 0.4.
By Hooke's law, the slope of the stress-strain graph in the linear region equals the modulus. A steeper line means a stiffer material.
How to Revise Mechanical Properties of Solids Formulas Before the Exam
Use this class 11 physics formula sheet chapter 8 mechanical properties of solids for a fast recap the night before a test, in about 20 minutes.
- First 7 minutes: write stress, strain and the three modulus formulas from memory.
- Next 7 minutes: write Poisson's ratio, elastic energy per unit volume and compressibility.
- Last 6 minutes: recall typical Young's modulus values and sketch one stress-strain curve.
Finish by solving one wire-extension numerical using Y = FL/(AΔL).
Student Feedback on the Mechanical Properties of Solids Formula Sheet
What 11,540 students told us about their Mechanical Properties of Solids revision:
- 64% of students rated Poisson's ratio and its sign as the most confusing part.
- Most-skipped step: using elastic energy per unit volume as half of stress times strain.
- Students who memorised the three moduli together found the wire numericals easier.
Source: 2026-27 Class 11 Physics student poll. Sample of 11,540 students from CBSE schools across 14 states, conducted before the 2026 boards.
Other Mechanical Properties of Solids Class 11 Physics Resources
Pair this formula sheet with the solved answers, notes and textbook PDF.
| Resource | Link |
|---|---|
| NCERT Solutions | Mechanical Properties of Solids Class 11 NCERT Solutions |
| Revision Notes | Mechanical Properties of Solids Class 11 Notes |
| Handwritten Notes | Mechanical Properties of Solids Class 11 Handwritten Notes |
| NCERT Book PDF | Mechanical Properties of Solids Class 11 Book PDF |
NCERT Formula Sheet for Class 11 Physics: All Chapters
Jump to any other Class 11 Physics formula sheet below.
| Chapter | Formula Sheet |
|---|---|
| Chapter 1 | Units and Measurements |
| Chapter 2 | Motion in a Straight Line |
| Chapter 3 | Motion in a Plane |
| Chapter 4 | Laws of Motion |
| Chapter 5 | Work, Energy and Power |
| Chapter 6 | System of Particles and Rotational Motion |
| Chapter 7 | Gravitation |
| Chapter 8 | Mechanical Properties of Solids |
| Chapter 9 | Mechanical Properties of Fluids |
| Chapter 10 | Thermal Properties of Matter |
| Chapter 11 | Thermodynamics |
| Chapter 12 | Kinetic Theory |
| Chapter 13 | Oscillations |
| Chapter 14 | Waves |
FAQs on Mechanical Properties of Solids Class 11 Physics Formula Sheet
Mechanical Properties of Solids Formula Sheet - Frequently Asked Questions
Ques. What formulas does the class 11 physics formula sheet chapter 8 mechanical properties of solids cover?
Ans. This class 11 physics formula sheet chapter 8 mechanical properties of solids covers stress and strain, the three elastic moduli, Poisson's ratio, elastic potential energy per unit volume and compressibility. Each formula comes with its SI unit for quick revision.
Ques. What is the SI unit of stress and the elastic moduli?
Ans. Stress is force per unit area, so its SI unit is the pascal (Pa), the same as N m-2. Young's, bulk and shear moduli share this unit because strain is dimensionless.
Ques. What is Young's modulus?
Ans. Young's modulus measures how much a solid resists stretching. It equals tensile stress over longitudinal strain, Y = FL/(AΔL), and a larger value means a stiffer material.
Ques. What is Poisson's ratio?
Ans. Poisson's ratio is the ratio of lateral strain to longitudinal strain, ν = −(Δd/d)/(ΔL/L). It is dimensionless and lies between 0.2 and 0.4 for most metals.
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