Structural Continuity Flashcards
Why do beams that are continuous over multiple supports require a different method of analysis than single span simply supported beams?
They are statically indeterminate (simply supported beams are statically determinate)
In multiple span continuous beams, will load in one span produce stress the other spans?
Yes
What does the deflection method for indeterminate beams actually solve?
The center reaction
What generally is the sign of the interior reaction moment found in a continuous beam? (assume gravity loads)
negative
The beam shown to the right is:
______________________
/`/\
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Statically indeterminate
Continuous over two spans
Which of the loading patterns shown below will yield the largest NEGATIVE moment for the center of middle span of the 5-Span continuous beam?
A. _LL\_\_\_\_\_LL\_\_\_\_\_\_LL_ DL_DL_DL_DL_DL_DL_ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ /\`````/\``````/\``````/\``````/\``````/\
B. \_\_\_\_LL\_\_\_\_\_\_LL\_\_\_\_\_ DL_DL_DL_DL_DL_DL_ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ /\`````/\``````/\``````/\``````/\``````/\
C. \_\_\_\_\_\_\_\_LL\_\_\_\_\_\_\_\_\_ DL_DL_DL_DL_DL_DL_ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ /\`````/\``````/\``````/\``````/\``````/\
D. _LL\_\_\_\_\_LL\_\_LL\_\_\_\_\_\_ DL_DL_DL_DL_DL_DL_ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ /\`````/\``````/\``````/\``````/\``````/\
B
If a continuous beam over two spans carries a distributed load that causes a positive moment within each span, what is the sign of the moment at the interior support?
Negative
Why would a continuous beam over multiple supports require less material than a series of simply supported beams to support the same load?
The overall maximum moment is smaller
In the Three Moment Theorem equation, where are the slope components located in the two spans?
They are located on the rignt side of the first span and on the left side of the second span.
What makes continuous beams statically indeterminate?
Continuous beams having 3 or more supports will have 4 or more reactions which is more than can be solved with the 3 equations of static equilibrium.
The “deflection method” to solve two continuous spans has what limitations in application?
It applies only to symmetric spans with symmetric loads
What method of analysis can be used for continuous beams of two unequal spans with asymmetrical loading?
Either the slope method or the three-moment method
What method of analysis can be used for a continuous beam of any number
of spans?
Three-moment method
Which method of analysis should be used in order to determine all reacting forces for a continuous beam involving more than a two-span condition?
The Three-Moment Theorem
Why is the analysis of a two-hinged frame different from that of a three hinged frame?
The removal of the third hinge makes the two-hinged frame statically indeterminate.