IES MASTER GATE MATERIAL
STRENGTH OF MATERIALS : PART – 1
GATE – PSU – IES – GOVT EXAMS – STUDY MATERIAL
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- Strength of Materials
- Shear Force and Bending Moment
- Deflection of Beam
- Transformation of Stress and Strain
- Combined Stress
- Bending Stress in Beam
- Shear Stress in Beams
- Torsion of Circular Shaft
- Thick and Thin Cylinder/Sphere
- Moment of Inertia
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What is Strength of Materials?
Introduction to Strength of Materials :
- Our concern in Strength of Materials topic is to study the behavior of a material when it is subjected to forces and moments.
- Each member of a structure is made up of certain materials, which could be a rigid material or formable material.
Rigid and Deformable Material:
- A rigid material is one which does not undergo any change in its geometry, size or shape. On the other hand, a deformable material is the one in which change in size, shape or both will occur when it is subjected to a force/moment.
- The geometrical changes produced are called deformations and hence the name deformable material.
- All materials are actually deformable and the idea of rigid material is only a conceptual idealization.
- A rigid material term has been used just for the simplification in the analysis.
STRESSES AND STRAINS
- When we apply forces on solids, deformations are produced if the solid is restrained from motion either fully or partially.
- If the solid is not restrained,it may undergo displacements without change in shape or size and these displacements are termed as rigid body displacements.
- If the solid is restrained by some other force known as reaction, which keeps the solid in equilibrium, the force will be transmitted through the medium of the solid to the restraining support
- Stresses(defined as force/area) are generated as a resistance to the applied external forces or as a result of restrained deformations)
- In the analysis and design of structures we are required to find out stresses and deformations/deflection (which is related to strain)
Stresses are broadly classified as:
- Normal Stress
- Shear Stress
What is a Stress Strain curve?
STRESS STRAIN CURVE :
- If we take a prismatic bars(bar of constant x-section throughout the length) of different lengths section and plot load-deformation curve, the load-deformation curve will be different for different bars. However if stress-strain curve is plotted it will be almost same for all the bars.
- Thus, stress-strain curve is a characteristic property of material and does not depend upon the dimension of particular specimen used.
Hence stress strain curve is used to study the properties of a material but not the load deformation curve.
What is Resilience?
- It is the property of a material to absorb energy when it is deformed elastically and then, upon unloading to have this energy recovered