# Diploma Strength of Materials Study Materials – Unit 5

### Diploma Strength of Materials Study Materials

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Strength of Materials

Scheme: N          Year: II Year

Unit – 5, SF and BM Diagrams of Beams and Theory of Bending

Three Marks

1. What is meant by beam?

A beam is a structural member subjected to external forces acting  at right angles to its axis

Types of beams

1. Cantilever Beam
2. Simply Supported Beam
3. Continuous Beam
4. Fixed beam
1. Explain Cantilever Beam

A beam whose one end is rigidly fixed to the wall or column and the other end is free is called cantilever beam

1. Define Simply supported beam

A beam whose both ends are freely resting on supports (walls or columns) is called simply supported beam

1. Define Over hanging beam

A beam whose length extends beyond the end supports is called over hanging beam

1. Define Continuous beam

A beam which rests on more than two supports is called continuous beam

A Vertical load acting on small area is called point load. It is denoted by W. its Magnitude is expressed in kN or N

A load which is spread non – uniformly over the whole length (or) part of the length of the beam is called uniformly varying load

A load which is spread uniformly over the whole length (or) part of the length of the beam is called uniformly distributed load (udl)

1. What is Shear force?

The shear force at any section on a loaded beam is the algebraic sum of all vertical forces acting on either side of that section

1. Define Bending Moment

The bending moment at any section on a loaded beam is the algebraic sum of moments of all vertical forces acting no either side of that section

It is expressed in kN.m (or) N.m

1. Define Point of contraflexure

It is the point on beam where BM changes its sign. At point of contraflexure, value of Bending moment is zero. It occurs in over hanging beam only

1. Define shear force diagram

Shear force diagram is the graphical representation of variation of shear force along the length of the beam

1. Explain bending moment diagram

Bending moment diagram is the graphical representation of variation of bending moment along the length of the beam

1. Define simple bending (or) pure bending

When the beam bends only due to the action of bending moment and it is absolutely free from shear force it is called pure bending (or) simple bending

1. Define Neutral Axis and write the bending equation

The line of intersection of the neutral layer with cross section of the beam is called neutral axis.

Bending Equation = M / I = f / y = E / R

1. Define Moment of Resistance (M)

The algebraic sum of moments of the internal forces (compressive and tensile forces developed in the cross-section due to bending) about the neutral axis of the section is called the moment of resistance of the section. For equilibrium condition, the moment of resistance of a section will be equal to the applied bending moment at that section.

M = EI / R

1. Define flexural rigidity (or) flexural strength

The product of young’s modulus € and moment of Inertia (I) of section is called flexural rigidity. it is also called as flexural strength 