1. Alpha College of Engineering & Technology Khatraj, Gandhinagar Mechanics of Solids ( ) topic: support reactions
3rd SEM Civil B
Sr. No.
Name
Enroll No. 1
SHAH JAY ANIL 2
SHAH HIMALAY BIPINKUMAR 3
SHAH KRISHNA HARESHKUMAR 4
SHAH VISHAL HARESHKUMAR
Faculty Name:
Prof. Grishma mam
Prof. Nirav sir

3. Contents: Introduction Types of Supports Types of Beam
Types of Loads acting on beam
How to find “Support Reactions”
Instrument used for finding “Support Reactions”

4. “Support Reaction”
Support :- A support prevents translation of a body in a given direction, a force is developed on the body in that direction.
Reactions:- The forces and moments exerted on an object by its supports are called reactions.

5. Introduction
When designing buildings, frames, beams it is important to know the magnitude and direction of the load that resides within a support.
All of these supports can be located anywhere along a structural element. They are found at the ends, at midpoints, or at any other intermediate points. The type of support connection determines the type of load that the support can resist. The support type also has a great effect on the load bearing capacity of each element, and therefore the system.

6. Types of supports

7. Types of supports 1) Fix end support 2) Simple support
3) Roller support

8. 4) Pin/hinge support 5) Link support 6) Rocker support

9. “Reactions” of this supports

10. Types of Beam Beam :- A beam is a structural element that is
capable of withstanding load primarily by
resisting bending.

11. Beam Indeterminate beams Determinate beams
Beams with maximum 3 unknowns is know as determinate beams.
Example:- simply supported beam, cantilever, overhanging beam, roller beam
Beams with more than 3 unknowns is know as Indeterminate beams.
Examples:- Fix beam , propped cantilever beam , continuous beam

12. In engineering, beams are of several types:
Simply supported –
A beam supported on the ends
which are free to rotate and
have no moment resistance.
Fixed - a beam supported
on both ends and
restrained from rotation.

13. 3) Cantilever :- A projecting beam fixed only at one end
3) Cantilever :- A projecting beam fixed only at one end. 4) Over hanging :– A simple beam extending beyond its support on one end.

14. 5) Continuous Beam- A beam extending over more than two supports
5) Continuous Beam- A beam extending over more than two supports. 6) Double overhanging – A simple beam with both ends extending beyond its supports on both ends.

15. 7) Trussed Beam – A beam strengthened by adding a cable or rod to form a truss.

16. 8) Propped cantilever Beam

17. Types of Loads acting on Beams
Point load
(concentrated load)
2) Uniformly Distributed
Load
(U.D.L)

18. Uniformly Varying
Load (U.V.L)
4) Arbitrary Load

19. Methods to calculate Support Reactions
Graphical method
Analytical Method

20. Analytical method Examples
Q- Determine the support reactions of the following examples ?
Taking A :-
vb X 7+ 6x2 = 8x3x5.5
∴ Vb = kN
∴ va + Vb = (8 x 3 - 6)
∴ Va = 0.86 kN
∴ Ha = 12 cos30⁰ = kN
GTU-JUNE 2010

21. Q- Determine the support reactions of the following examples ?
Taking A :-
vb x6 = (12x2x1)+ (30x3)+30+(22.52x5)
∴ Vb = kN
∴ va + Vb =
∴ Va = kN
∴ Ha = 22 cos 60⁰ = kN
GTU-DEC 2010

22. Q- Determine the support reactions of the following examples ?
Taking A :-
Vf = (5.1x2.2x10)+ (25x2)-30+(20x0.8)
∴ Vb = kN
∴ Va = (10x2.2)+20+25
∴ Va = 67 kN
∴ Ha = 0 kN
GTU-DEC 2012

23. Q- Determine the support reactions of the following examples ?
tanӨ =15/8 ∴ Ө = 61.92⁰
Taking A :-
vb x 2.5 = 150x2.8
∴ Vb = 168 kN
∴ va + Vb = 150
∴ Va = kN
∴ Ha = 170 cos61.92⁰ = 80 kN
GTU-MARCH/APRIL 2010

24. Q- If support reactions of the following example is equal then find load P ?
Taking A :-
vb x 6 = (16x4x2)+(px7)
∴ Vb x 6 = p ………( a)
∴ va + Vb = 16 x 4 + p ……………..(b) and va = vb
On comparing (a)&(b) we get ,
∴ Vb = P
∴ P = 16 kN
GTU-JAN 2013

25. Graphical Method

26. Instrument used for finding “Support Reactions”

27. References:- Wikipedia Engineering mechanics by beer and johnson
Mechanics of solids by r.p.rethaliya ,by m.n.patel , n.k. arora
By sideshare and youtube videos
Researching in google and many more…

28. Made by jay shah