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Consider the beam ABCD and the influence line as shown below. The influence line pertains to
Shape of influence line diagram for bending moment at D in a symmetrical two hinged arch given above is
The absolute maximum Bending Moment in a simply supported beam of span 20 m due to a moving UDL of 4 t/m spanning over 5 m is
Absolute maximum bending moment will occur at the centre when the load is spread equally on either side of the centre.
Influence line diagram for a truss member is shown in the above figure. Positive values indicate tension. Dead load of the truss is 20 kN/m and the live load is 10 kN/m. Live load is longer than the span. Maximum tensile force in the member is:
Tensile force due to D.L.
= (20  10) x 20 = 200 kN
Maximum Tensile force due to L.L.
= 20 x 10 = 200 kN
Thus maximum tensile force
= 200 + 200 = 400 kN
The influence line for horizontal thrust of a two hinged parabolic arch of span i’ and rise 'h' will be shown in
Figure in (a) is the I.L.D. of horizontal, thrust for three hinged arch
A Warren truss is supported as shown in the given figure. Which one of the following diagrams represents the influence line for the force in member U_{3}U_{4}?
Introduce a cut through U_{3}U_{4}, U_{3}L_{4}and L_{3}L_{4}. The member forces of L_{3}L_{4} and U_{3}L_{4} pass through support at L_{4} . So w hen load is at L_{0}, L_{1} L_{2}, L_{3} and L_{4}. the total moment of all the force except force in U_{3}U_{4} on the right part of cut section is zero. So from moment equilibrium the force in U_{3}U_{4} will remain zero when load is between. L_{0} and L_{4}.
When load is at L_{5}, the force in member U_{3}U_{4}
A simplysupported beam with overhangs is shown in the figure. The influence line diagram for shear in respect of a section just to the right of the support 'A wiil be as shown in
A simply supported beam is shown in the figureI. The influence line for the beam is drawn in figureII, Which one of the following statements is correctly associated with the figureII?
Since the unit value of I.L.D. is 1,0 at A. So this is for reaction at support A
Consider the following statements:
1. An influence line for a function (example: moment shear force, reaction, deflection) in a structure is a curve which shows its variation at a particular section of the structure for various positions of a moving unit load.
2. The influence line for bending moment/shear force must not be confused with bending moment diagram and shear force diagram for the structure.
3. The bending moment diagram and shear force diagram shows the moment/shear values at all sections of the structure. The influence line diagram for BM/SF is always drawn for a moving unit point load and for a particular section only
Of these statements:
Which one of the following equations represents influence line of fixed end moment at B of the fixed beam AB of length l with origin at A?
For the influence line of fixed end moment at B, release the moment at B and give unit rotation, the deformed shape will represent the influence line.
due to unit load at x distance from A.
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