Mechanics of solidsSupport reactions

الرحیم الرحمن الله بسم

Prepared by :

EHSANULLAH AYDIN 151100106078Wahedullah ehsas151100106080Shuaib kohee101100106079

Guided by :Prof. nilesh parmar,Prof. mihir naik

content• Introduction• Types of beams• Types of loads• Types of supports• examples

INTRODUCTION Beam is a structural member subjected to

transverse loads. It’s length is large in comparison with its cross-sectional dimensions.

Loads from slab, floor, wall, etc… transferred to column through beam. Due to loading on beam reactions developed at the supports.

This chapter deals with different types of beams, types of loads, types of supports and reaction occurring at the supports.

Types of beams1. Simply supported beam :

2. Overhanging beam :

different types of beams are shown below

3. Cantilever beam :It has one end fixed and other end free.

4. fixed beam :It has both ends fixed.

5. Continuous beam :It has more than two supports.

6. Propped cantilever beam :One end fixed and the other end simply supported.

Types of loads1. Point load or

concentrated load :

there are three types of loads :The load concentrated at one

point is called point load.Unit of point load is N or KN. e.g. 20 KN, 100 KN, 60 KN etc…

2. Uniformly distributed load :

load uniformly distributed on certain length of a beam is called uniformly distributed load.

Unit of U.D.L is kN/m or N/m,Form example,20 kN/m, means 20 kN load on 1m length.

3. Uniformly varying load : this type of load gradually

increase or decrease on the length of the beam.

it is also called triangular load.

Types of supports

1. Simple support :

different types of supports are :

In this type of support, beam is simply supported on the support.

There is no connection between beam and support.

At this type of support, only vertical reaction will be produced.

2. Hinged support : Beam and support are connected by a hinge.

Beam can rotate about the hinge.Reactions may be vertical, horizontal or

inclined.

3. Roller support : In this type of support, rollers are

placed below beam and beam can slide over the rollers.

Reaction will be perpendicular to the surface on which rollers are supported.

This type of support is normally provided at the end of a bridge.

4. Fixed support : Beam is completely fixed at end in the

wall or support.Beam can mot rotate at end.Reactions may be vertical, horizontal,

inclined and moment.

Examples – 1 :Taking moment @ A :- vb x6=(12x2x1)+(30x3)+30+(22.52x5)

∴ Vb = 42.76 kN ∴ va + Vb = 24+30+22.5 ∴ Va = 33.76 kN ∴ Ha = 22 cos 60⁰ = 10.39 kN

GTU, DEC 2010

Examples – 2 : tanӨ =15/8 ∴ Ө = 61.92⁰ Taking moment @ A :- vb x 2.5 = 150x2.8

∴ Vb = 168 kN ∴ va + Vb = 150 ∴ Va = - 18 kN ∴ Ha = 170 cos61.92⁰ = 80 kN

GTU, MARCH/APRIL 2010

REFERENCE BOOK :

MOS , DR.R.P.RETHALIYA ,ATUL

PRAKASHAN

THAN YOU TO TAKING YOUR TIME TO LISTEN TO MY

POWER POINT PRESENTATION.