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QUESTION: 1

Consider the beam ABCD and the influence line as shown below. The influence line pertains to

Solution:

QUESTION: 2

Shape of influence line diagram for bending moment at D in a symmetrical two hinged arch given above is

Solution:

QUESTION: 3

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

Solution:

Absolute maximum bending moment will occur at the centre when the load is spread equally on either side of the centre.

QUESTION: 4

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:

Solution:

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

QUESTION: 5

The influence line for horizontal thrust of a two- hinged parabolic arch of span i’ and rise 'h' will be shown in

Solution:

Figure in (a) is the I.L.D. of horizontal, thrust for three hinged arch

QUESTION: 6

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}?

Solution:

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}

QUESTION: 7

A simply-supported 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

Solution:

QUESTION: 8

A simply supported beam is shown in the figure-I. The influence line for the beam is drawn in figure-II, Which one of the following statements is correctly associated with the figure-II?

Solution:

Since the unit value of I.L.D. is 1,0 at A. So this is for reaction at support A

QUESTION: 9

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:

Solution:

QUESTION: 10

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?

Solution:

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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