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TWO HINGED ARCHES   AND  MOMENT DISTRIBUTION  METHOD 

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TWO HINGED ARCHES ANDMOMENT DISTRIBUTION METHOD TWO HINGED ARCHES  AND MOMENT DISTRIBUTION  METHOD : Two hinged  Arches are curved structural members used to support heavy loads on large spans When the load is imposed on an anth it remains primarily under compression. Thus, it receives lower bending moments. As the name indicates, a two hinged arch … Read more

CABLE AND SUSPENSION BRIDGES

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        CABLE AND SUSPENSION BRIDGES CABLE AND SUSPENSION BRIDGES —— CABLE :The cables are flexible structures which carry loads in tension only. The cables carry vertical loads and are suspended between the supports. Cable stayed bridges utilize tensioned cables to transmit major loads of the structure. The tension in the cables enables … Read more

Flexibility matrix method

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Flexibility Matrix Method for analysis of structure Flexibility matrix method is originated by the systematic development of the consistent deformation method in the matrix form. The redundant forces are the basic unknowns in this method. Degree of static indeterminacy represents the number of redundant forces. The consistency conditions are developed by determining the displacements which … Read more

Stiffness Matrix method

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Stiffness Matrix method Stiffines matrix method is the matris which is generated by the systematic development of slope deflection method in matrix form When a structure has number of coordinates, the response of its force towards the displacement is shown by,   The basic unknowns in this method are the displacement of joints. In order … Read more

SHEAR FORCE AND BENDING MOMENT DIAGRAM

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SHEAR FORCE AND BENDING MOMENT DIAGRAM

SHEARFORCE AND BENDINGMOMENT DIAGRAM        Shear Force: The shear force at any section of a beam is equal to the algebraic sum of all the forces either to the left or to the right of the section. S.F is denoted by the letter F and its units in Sl are kN.

The beam may also state the unbalanced vertical force to the left or right of the section at the cross-section.

Sign Convention For Shear Force

We find different sign conventions in different books, but in this book we follow this sign convention in the entire book.

Shear Force Diagram:

The shear force plotted as ordinate on the base line representing the axis of the beam is known as SFD.

Procedure to be Followed for Drawing SFD:1. Draw the loading diagram of the beam.

2. Find reactions of the support and draw lines below loading points

3. Start always from left side of the beam as per the los whether it is up or down ward and continue till right.enc of the beam.
4. By the time it reaches right end it has to reach zero of the base line otherwise your reactions calculations may be wrong or loading calculations may be wrong correct it immediately

5. Positive values are plotted above the base line and fiegative values below the base line and hatch it properly and indicate + ve and -ve.

6. Mention the values of shear force at each corner of the diagram.

7 Find the maximum positive shear force and minimum negative shear force values.

8. Where shear force crosses +ve to -ve or vice versa the B.M will be maximum at those points

9. At some place it crosses base line not at nodal point especially under ud! Find x distance where it crosses base line by using similar triangles.

10. For point loads draw vertical lines and under udl draw slope lines linear

BENDING MOMENT

The bending moment at any section of the beam is defined as the algebraic sum of moments of all loads about the section by considering either left of that section or night of that section. It is denoted by the letter M and its units in SI system are KNm.

Sign Convention for Bending Moment:

Sagging or Positive Bending Moment: The bending moment at a section is considered to be positive when it causes convexity downwards lor concavity at top) such bending moment is called sagging bending moment or positive bending moment.

Hogging or Negative Bending Moment: The bending mome at a section is constidered to be negative when it causes conve upwards (or concavity at bottom), such bending moments is calle hoging bending moment or negative B.M

Bending Moment Diagram (BMD):

B.M.D. is a graphical representationatio of the values of bending moments plotted as ordinates on a

Procedure to be Followed for drawing B.M.D:

Calculate the B.M at different salient points with sign Le, +ve or ve

2. Draw the base line and plot the positive values of BM above the base and negative values of BM below the base line.

3. In between point Joods draw slope line and in between udi draw parabolic lines, and watch it properly.

4. Find the max +ve and max-ve BM values and its occurrence

CALCULATE THE DEPTH AND WIDTH OF A BEAM

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   CALCULATE THE BEAM                 DEPTH&WIDTH CALCULATE THE BEAM DEPTH&WIDTH:   In construction industry, we come across different types of beams with different materials like wood, steel, stone, concrete, R.C.C and prestressed concrete. All these beams are loaded with different types of loads, due to which it bends or deflects. … Read more