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# 10.01.03.026 -SHEAR FORCE DIAGRAM

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### 10.01.03.026 -SHEAR FORCE DIAGRAM

1. 1. AHSANULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY DEPARTMENT OF CIVIL ENGINEERING CE-416 : PRE-STRESSED CONCRETE LAB. PRESENTATION ON SHEAR FORCE DIAGRAM
2. 2. COARSE TEACHER: •MR. MUNSHI GALIB MUKTADIR •MRS. SUBREENA NASRIN PRESENTED BY: MD. FARHAN ABIR ID : 10.01.03.026
3. 3. SHEAR FORCE : DEFINITION  Shearing forces are unaligned forces pushing one part of a body in one direction, and another part the body in the opposite direction. When the forces are aligned into each other, they are called compression forces  William A. Nash defines shear force thus: "If a plane is passed through a body, a force acting along this plane is called shear force or shearing force.  Due to the act of shear force, it’s shearing, direction, and overall analyzing of this force create a diagram that is called the shear force diagram.
4. 4. SHEAR FORCE DIAGRAM  Shear force diagram is an analytical tool used in conjunction with structural analysis to help perform structural design by determining the value of shear force at a given point of an element.  The shear force diagram indicates the shear force resisted by the beam section along the length of the beam.  We can use a shear force diagram to analyze the beam  Using this diagram the type and size of a member of a given material can be easily determined so that a given set of loads can be supported without structural failure.
5. 5. CONVENTION  Although these conventions are relative and any convention can be used if stated explicitly, practicing engineers have adopted a standard convention used in design practices.  The normal convention used in most engineering applications is to label a positive shear force one that spins an element clockwise (up on the left, and down on the right).
6. 6. SIGN CONVENTION  The usual sign conventions to be followed for the shear forces have been illustrated Positive shear force Negative shear force
7. 7. GENERAL PROCEDURE TO ANALYSIS  At first, reaction forces are to be determined using equations of equilibrium and the law of mechanics.  Shear forces are to be determined for various types of loading case applied on beams.  According to the determined values of shear force, the diagram is to be drawn.
8. 8. ANALYSING PROCEDURE Start with the far left side of the beam 2. If there is an upward force (i.e a support) then the SFD will start at this force above the x-axis. If there is a downward point load and no support, than the shear force diagram will start as a negative at the value of the point load. 3. Move across the beam 4. As coming across the loads , by simply adding or subtracting these loads from the value already have, keeping a cumulative total.  Some examples of typical diagrams for various loading cases with formulas are here . 1.
9. 9. TYPICAL DIAGRAMS Simply supported beam – Uniformly distributed loaded
10. 10. TYPICAL DIAGRAMS Simply supported beam - Load increasing to one end.
11. 11. TYPICAL DIAGRAMS Simply supported beam – Load increasing uniformly to centre.
12. 12. TYPICAL DIAGRAMS Cantilever beam – Concentrated load at any point.
13. 13. TYPICAL DIAGRAMS Beam fixed at one end, supported at other – Uniformly distributed load.
14. 14. TYPICAL DIAGRAMS Beam fixed at both ends Concentrated load at any point.
15. 15. TYPICAL DIAGRAMS Continuous beam - Two equal spans – Uniformly loaded on one span
16. 16. TYPICAL DIAGRAMS Beam overhanging both supports – Unequal overhangs – Uniformly distributed loaded
17. 17. Thank You