AMVI • Kerala PSC • Strength of Materials

Volumetric Strain & Elastic Constants for AMVI Exam

Revise volumetric strain, dilation, Young's modulus, shear modulus, bulk modulus and the relationship between E, G, K and μ for Kerala PSC AMVI Preparation and Kerala PSC Mechanical Coaching.

Quick Revision Notes

Volumetric Strain and Elastic Constants: Important AMVI Points

📦 Volumetric Strain

Change in volume per original volume. It is a ratio, so it has no unit.

εv = ΔV / V₀

➕ Three-Dimensional Strain

For small strains, volumetric strain is the sum of three linear strains.

εv = εx + εy + εz

💧 Bulk Modulus

Bulk modulus relates pressure to volumetric strain. It shows resistance to volume change.

K = p / εv

🔗 Elastic Constants

For isotropic elastic materials, any two elastic constants are enough.

E = 2G(1+μ)

VIMP Formula Box

E = σ / ε = PL / Aδ

G = τ / γ

K = p / εv = p / (ΔV/V)

E = 2G(1+μ) = 3K(1−2μ) = 9KG/(3K+G)

AMVI Mock Tests and AMVI Previous Questions commonly ask direct formulas, dimensional nature of strain, and the relationship between elastic constants.

AMVI Expected MCQs

Practice Questions with Answer Reveal

1) Volumetric strain is defined as:

A. Change in length / original length
B. Change in volume / original volume
C. Load / area
D. Shear stress / shear strain

2) The unit of volumetric strain is:

A. N/mm²
B. Pascal
C. No unit
D. Newton

3) For a body subjected to three mutually perpendicular strains, volumetric strain is:

A. εx − εy − εz
B. εx × εy × εz
C. εx + εy + εz
D. εx / εy

4) Bulk modulus is the ratio of:

A. Direct stress to linear strain
B. Shear stress to shear strain
C. Pressure to volumetric strain
D. Load to area

5) Young's modulus is represented by:

A. E = σ / ε
B. G = τ / γ
C. K = p / εv
D. μ = lateral strain / longitudinal strain

6) Modulus of rigidity is the ratio of:

A. Pressure to volumetric strain
B. Shear stress to shear strain
C. Direct stress to direct strain
D. Load to deflection

7) Which is the correct relation between E, G and μ?

A. E = 2G(1 + μ)
B. E = 2G(1 − μ)
C. E = G / 2(1 + μ)
D. G = 2E(1 + μ)

8) For a linearly elastic, isotropic and homogeneous material, how many independent elastic constants are required?

A. One
B. Two
C. Three
D. Four

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FAQ Section

AMVI Preparation FAQs

Which is the best AMVI coaching centre in Kerala?

InspirePSC is considered by many aspirants as one of the best AMVI coaching centres in Kerala because it provides AMVI Online Coaching, live classes, AMVI Study Material, AMVI Previous Questions and AMVI Mock Tests.

How should I prepare for Kerala PSC AMVI?

Start with mechanical diploma basics, automobile engineering, MVI Act, previous questions and regular mock tests. For Strength of Materials, formulas like E, G, K, μ and volumetric strain must be revised repeatedly.

Is volumetric strain important for Kerala PSC AMVI Exam?

Yes. Volumetric strain, dilation, bulk modulus and elastic constant relations are common formula-based questions in Kerala PSC AMVI Exam and Kerala PSC Mechanical Coaching topics.

What study materials are important for AMVI?

Use standard mechanical textbooks for basic concepts, automobile textbooks for AMVI core topics, MVI Act from the official source, AMVI Study Material, previous questions and topic-wise revision notes.

Is online coaching sufficient for AMVI preparation?

Yes, AMVI Online Coaching is effective when it includes live classes, recorded sessions, doubt support, AMVI Mock Tests, previous question discussions and systematic revision.

How can mock tests improve AMVI scores?

Mock tests improve speed, accuracy and formula memory. They also help students identify weak areas before the final Kerala PSC AMVI Exam.

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