Influence Line Diagram · Structural Analysis · GATE CE

Muller-Breslau principle is used in analysis of structures for ________.

In a beam of length $$L,$$ four possible influence line diagrams for shear force at a section located at a distance of $${L \over 4}$$ from the left end support (marked as $$P,Q,R$$ and $$S$$ ) are shown below. The correct influence line diagram is

A homogeneous, simply supported prismatic beam of width $$B,$$ depth $$D$$ and span $$L$$ is subjected to a concentrated load of magnitude $$P.$$ The load can be placed anywhere along the span of the beam. The maximum flexural stress developed in beam is

Muller Breslau Principle in structural analysis is used for

Identify the FALSE statement from the following, pertaining to the methods of structural analysis.

Influence line for redundant structures can be obtained by

The influence line diagram for the force in member $$'a'$$ of the truss shown below is given by

Consider the beam $$ABCD$$ shown in figure

For a moving concentrated load of $$50$$ $$kN$$ on the beam, the magnitude of the maximum bending moment (in $$kN$$-$$m$$) obtained at the support $$C$$ will be equal to _________

A simply supported beam $$AB$$ of span, $$L = 24$$ $$m$$ is subjected to two wheel loads acting at a distance, $$d = 5$$ $$m$$ apart as shown in the figure below. Each wheel transmits a load, $$P = 3$$ $$kN$$ and may occupy any position along the beam. If the beam is an $$I$$-section having section modulus, $$S = 16.2\,c{m^3},$$ the maximum bending stress (in $$GPa$$) due to the wheel loads is __________________

Beam $$PQRS$$ has internal hinges in span $$PQ$$ and $$RS$$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $$4$$ $$kN/m$$ of any length anywhere on the beam. The maximum absolute value of the shear force (in $$kN$$) that can occur due to this loading just to the right of support $$Q$$ shall be:

The span$$(s)$$ to be loaded uniformly for maximum positive (upward) reaction at support $$P,$$ as shown in the figure below, is $$(are)$$

The influence line diagram $$(ILD)$$ shown is for the member

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

A beams $$PQRS$$ is $$18$$ $$m$$ long and is simply supported at points $$Q$$ and $$R$$ $$10$$ $$m$$ apart. overhangs $$PQ$$ and $$RS$$ are $$3$$ $$m$$ and $$5$$ $$m$$ respectively. A train of two point loads of $$150$$ $$kN$$ and $$100$$ $$kN$$, $$5$$ $$m$$ apart, crosses this beam from left to right with $$100$$ $$kN$$ load leading.

During the passage of the loads, the maximum and the minimum reactions at supports $$'R'$$ in $$kN,$$ are respectively

A beams $$PQRS$$ is $$18$$ $$m$$ long and is simply supported at points $$Q$$ and $$R$$ $$10$$ $$m$$ apart. overhangs $$PQ$$ and $$RS$$ are $$3$$ $$m$$ and $$5$$ $$m$$ respectively. A train of two point loads of $$150$$ $$kN$$ and $$100$$ $$kN$$, $$5$$ $$m$$ apart, crosses this beam from left to right with $$100$$ $$kN$$ load leading.

The maximum sagging moment under the $$150$$ $$kN$$ load anywhere is

A beams $$PQRS$$ is $$18$$ $$m$$ long and is simply supported at points $$Q$$ and $$R$$ $$10$$ $$m$$ apart. overhangs $$PQ$$ and $$RS$$ are $$3$$ $$m$$ and $$5$$ $$m$$ respectively. A train of two point loads of $$150$$ $$kN$$ and $$100$$ $$kN$$, $$5$$ $$m$$ apart, crosses this beam from left to right with $$100$$ $$kN$$ load leading.

The maximum hogging moment in the beam anywhere is

Identify, from the following, the correct value of the bending moment $${M_A}\,\,$$ (in $$kNm$$ units) at the fixed end $$A$$ in the statically determinate beam shown below (with internal hinges at $$B$$ and $$D),$$ when a uniformly distributed load of $$10$$ $$kN/m$$ is placed on the spans. (Hint: Sketching the influence line for $${M_A}\,\,$$ or applying the Principle of Virtual Displacements makes the solution easy).

A simply supported beam with an overhang is traversed by a unit concentrated moment from left to the right as shown below:

The influence line for reaction at $$B$$ is given by