1. The simplest way is to draw the influence line, and then make the influence line of the supports at both ends, and calculate the influence quantity, that is, the reaction force of the supports at both ends
2. RA=RG= 0.4ql+1.35P ;
RC=RD=1.1ql+2.15P
calculation of support reaction force: static equilibrium can be used for simply supported beams, that is, the equation ∑ f = 0 in the vertical direction, and ∑ M = 0 for hinge joints, and force method or displacement method should be used for statically indeterminate continuous beams and rigid frames. The calculated vertical force is fulcrum reaction, and the specific calculation of each support reaction is the calculated fulcrum vertical force divided by the number of supports
extended data:
static calculation method is to calculate the foundation reaction under column load, and then directly calculate the internal force of each section under column force and net foundation reaction. Relatively speaking, the calculation is simpler than the inverted beam method. The essence of statically determinate analysis method is to treat the foundation beam as an independent beam with great stiffness, ignoring the joint work of the upper structure and the lower foundation, and ignoring the connection between the upper columns
the inverted beam method regards the stiffness of column and superstructure as infinity on the premise that the foundation beam has enough stiffness, which exaggerates the binding force of column on the foundation beam
The static determinate analysis law ignores the binding force of columns and superstructure on the foundation beam. In practical engineering, the superstructure is mostly between the two. Therefore, in the calculation, if the upper stiffness is considered to be larger, the inverted beam method should be used When the upper stiffness is small, the static analysis method should be used; When the stiffness is medium, these two methods can be used for analysis and adjustment. If necessary, we can also draw the internal force envelope diagram from the two results. Of course, the safety is higher
3. Firstly, it analyzes whether the multi span beam is cascade or chord span, and then finds out the beams of the foundation and subsidiary parts
2. From the highest level (i.e. auxiliary beam), the multi span beam is disassembled at the joint (i.e. internal constraint) to become multiple single span beams
3. According to the static balance method of single span beam, the supporting reaction of each beam is calculated from the top auxiliary beam. The supporting reaction of each beam is the external force of the layer below it. In this way, all the supporting reactions of the whole multi span beam are calculated up to the foundation beam
4. The method of internal calculation is the same as that of supporting reaction.
4. Structural symmetry and load symmetry, RA = RC; However, it is necessary to solve a statically indeterminate problem, because there is a negative moment at point B, which has an impact on the reaction force of the bearing, and the load can not be equally divided to the node; The force method is very troublesome. It is troublesome to calculate the coefficient and free term of Graph Multiplication whether turning B point into hinge or removing B support, but the basic system of turning B point into hinge seems simpler, but it is not difficult.
5. There are three kinds of common supports: hinged support, roller support and fixed support; The force on the roller support is perpendicular to the support surface, generally along the y-axis, which can be solved directly; The force at the fixed support can be decomposed into a couple and the force along X and Y axes, and the equation of moment and force balance can be set up
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