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Mechanics of solids
Support reactions
‫الرحیم‬ ‫الرحمن‬ ‫هللا‬ ‫بسم‬
Prepared by :
 EHSANULLAH AYDIN
 151100106078
Wahedullah ehsas
151100106080
Shuaib kohee
101100106079
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 beams
1. 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 loads
1. 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.
Taking moment @ A :-
vb
x6=(12x2x1)+(30x3)+30+(22.52
x5)
∴ Vb = 42.76 kN
∴ va + Vb = 24+30+22.5
∴ Va = 33.76 kN
∴ Ha = 22 cos 60⁰ = 10.39 kN GTU, DEC 2010
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.

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Support reaction

  • 1. Mechanics of solids Support reactions ‫الرحیم‬ ‫الرحمن‬ ‫هللا‬ ‫بسم‬
  • 2. Prepared by :  EHSANULLAH AYDIN  151100106078 Wahedullah ehsas 151100106080 Shuaib kohee 101100106079 Guided by : Prof. nilesh parmar, Prof. mihir naik
  • 3. content • Introduction • Types of beams • Types of loads • Types of supports • examples
  • 4. 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.
  • 5. Types of beams 1. Simply supported beam : 2. Overhanging beam :  different types of beams are shown below
  • 6. 3. Cantilever beam : It has one end fixed and other end free. 4. fixed beam : It has both ends fixed.
  • 7. 5. Continuous beam : It has more than two supports. 6. Propped cantilever beam : One end fixed and the other end simply supported.
  • 8. Types of loads 1. 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…
  • 9. 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.
  • 10. 3. Uniformly varying load :  this type of load gradually increase or decrease on the length of the beam.  it is also called triangular load.
  • 11. 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.
  • 12. 2. Hinged support : Beam and support are connected by a hinge. Beam can rotate about the hinge. Reactions may be vertical, horizontal or inclined.
  • 13. 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.
  • 14. 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.
  • 15. Taking moment @ A :- vb x6=(12x2x1)+(30x3)+30+(22.52 x5) ∴ Vb = 42.76 kN ∴ va + Vb = 24+30+22.5 ∴ Va = 33.76 kN ∴ Ha = 22 cos 60⁰ = 10.39 kN GTU, DEC 2010
  • 16. 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
  • 17. REFERENCE BOOK : MOS , DR.R.P.RETHALIYA ,ATUL PRAKASHAN
  • 18. THAN YOU TO TAKING YOUR TIME TO LISTEN TO MY POWER POINT PRESENTATION.