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A beam which is supported on more than two supports is called as __________.
Fixed beam
Continuous beam
Cantilever beam
Simply supported beam
Continuous beam
A continuous beam is a structural element that is supported at more than two locations, creating multiple spans. Because it has more supports than required for static equilibrium, it is classified as a statically indeterminate structure.
A continuous beam is a structural element that is supported at more than two locations, creating multiple spans. Because it has more supports than required for static equilibrium, it is classified as a statically indeterminate structure.
MaтАЛL1тАЛ+2MbтАЛ(L1тАЛ+L2тАЛ)+McтАЛL2тАЛ=тИТL1тАЛ6A1тАЛx╦Й1тАЛтАЛтИТL2тАЛ6A2тАЛx╦Й2тАЛтАЛ тАФ Clapeyron's Theorem of Three Moments
In a continuous beam, the continuity of the member over intermediate supports allows for the transfer of internal bending moments across spans. This results in negative bending moments occurring over the supports and positive bending moments within the spans. The structural analysis of such beams often utilizes methods like the Theorem of Three Moments, Moment Distribution Method, or Stiffness Method due to its indeterminate nature.
Continuous beams are statically indeterminate to the degree corresponding to the number of extra supports.
Bending moments at supports are generally negative (hogging).
They are more efficient and experience smaller deflections than a series of independent simply supported beams of the same span.
Temperature changes and support settlements induce additional stresses in continuous beams.
Lower bending moments compared to simply supported beams of the same total span
Increased overall stiffness and reduced deflection
Sensitive to differential settlement of supports
Requires complex analytical methods for design
Bridge decks
Multistory building floor systems
Industrial crane girders
Fixed beam: Both ends are fixed against rotation and translation (statically indeterminate to 3rd degree).
Simply supported beam: Supported at two ends only (statically determinate).
Cantilever beam: One end fixed, other end free (statically determinate).
B is correct тАФ A beam supported on more than two supports is defined as a continuous beam.
Always remember: A beam is statically determinate if the number of unknown reactions equals the number of available equilibrium equations; exceeding this makes it indeterminate.