How to calculate the axial force when the internal force of bent
3. When the superposition is the most unfavorable, the bending moment, axial force and shear force of the column foot section, corbel section and crane beam flange elevation section.
internal force calculation
1. Reverse bending point method
under horizontal load, the joint will proce rotation and lateral displacement at the same time. According to the analysis, when the ratio of the linear stiffness of the beam to that of the column is greater than 3, the rotation angle of the joint will decrease θ It has little influence on the internal force of the frame. Therefore, in order to simplify the calculation, it is usually ignored, that is, assumed θ= 0 In fact, this is equivalent to simplifying the frame beam into a rigid beam with linear stiffness KB = ∞. In this way, the calculation can be greatly simplified, and the error is generally less than 5%
with the above assumption, the section bending moment is zero at 1 / 2 of the column height. The elastic curve of the column changes the concave convex direction at this place, so this place is called the reverse bending point, and the distance from the reverse bending point to the bottom of the column is called the height of the reverse bending point
after the reverse bending point of the column is determined, if the shear force of the column is obtained, the bending moment diagram of the frame can be drawn
2. Improved reverse bending point method - D value method
the above reverse bending point method is only applicable to the case that the linear stiffness ratio of beam to column is greater than 3. If this condition is not satisfied, the lateral stiffness and the position of the reverse bending point of the column will change with the small angle of the frame joint. At this time, using the reverse bending point method to calculate the internal force of the frame will proce large errors
the improved reverse bending point method is introced below. This method approximately considers the influence of the rotation of the frame joints on the lateral stiffness and the height of the anti bending point. The improved reverse bending point method is a simple and accurate approximate method for analyzing the internal forces of frames. Therefore, it is widely used in residential engineering
the lateral stiffness of the column can be obtained by the improved reverse bending point method, which is expressed by D in engineering, so the improved reverse bending point method is also called & quot; D-value method & quot< br />
∑ f = 0, fcd-f2 + F1 = 0, FCD = f2-f1 = 20-20 = 0 (KN)
four word formula of section method (four steps): cutting, discarding, replacing and leveling
It's a hinged bent with unequal height. The calculation of concrete bent structure is the stress analysis of single story instrial building columns. Calculate the bending moment mmax + corresponding axial force N and the bending moment M corresponding to axial force nmax + for each possible most unfavorable section. The most disadvantageous sections are the section at the top of the column, the section at the elevation of the crane beam, the section under the bracket and the section at the base of the column. The basic load combination value is used as the design value
in order to obtain the most unfavorable internal force of the control section of bent column under various loads, which can be used as the basis for column design; At the same time, the most unfavorable internal force of the column bottom section is also the basis of the design foundation, and the bending moment diagram, axial diagram and shear force diagram of the bent column are drawn
extended data
principle: under the action of dead load and live load, the midspan can be approximately replaced by the midspan. Under the representative value of gravity load and horizontal earthquake, the maximum bending moment in the span is calculated by analytical method: first determine the position of the maximum bending moment in the span, and then calculate the bending moment at the position
after the internal forces of the frame under various loading conditions are obtained, the internal forces are combined according to the most unfavorable and possible principle. When considering the favorable effect of redistribution of plastic internal force, the internal force under vertical load should be increased before internal force combination. The combination of dead load and live load controlled by variable load effect and the combination controlled by permanent load effect are considered respectively, and the internal force of the two combinations is compared, and the most unfavorable one is selected. Because the internal force value of the control section of the component should be taken from the edge of the support, the internal force value of each control section (at the edge of the support) should be calculated before the combination
If the bearing section of the beam may have positive bending moment and the mid span section may have negative bending moment e to the action of load, the combination of the bearing section positive bending moment and the mid span section negative bending moment should also be carried out
Generally, two most unfavorable internal forces should be considered in the bearing section ofbeam: one is the most unfavorable negative bending moment of the bearing section, and the other is the most unfavorable shear force of the bearing section. The former most unfavorable internal force is used to design the normal section of the bearing section, and the latter most unfavorable internal force is used to design the inclined section of the bearing section, so as to ensure that the bearing section has sufficient bearing capacity. Generally, the most unfavorable positive moment of the midspan section is considered
extended data:
precautions:
1. Bending moment diagram of bent column is obtained by bent analysis of various vertical loads and horizontal loads, and superposition of the most unfavorable combination of several important sections, which is used to calculate design column and reinforcement
Vertical load: reaction force of roof truss support (permanent and variable load), dead weight of crane beam, variable load transmitted by wheel pressure of crane through crane beam, etc; Horizontal load: wind load, trolley braking lateral force of bridge crane, etc3. Important sections: column base section of top elevation of foundation, column section above and below bracket, column section of top elevation of crane beam, etc
The load acting on the structure is first transferred from the one-way plate to the secondary beam, then from the secondary beam to the main beam, and finally from the main beam to the column and wall. In order to rece the span of the integral one-way slab beam structure, the secondary beam should be set. In order to rece the span of the secondary beam, the main beam should be set. In order to rece the span of the main beam, the column or wall should be setthis method is not very "practical" unless it is calculated by program
empirically, the most unfavorable combination of internal forces of columns often occurs in the group of maximum bending moment, maximum axial force (including minimum axial force, or tensile force), and maximum shear force. Therefore, the three combinations are selected for reinforcement, and then it is considered that all stress combinations can be satisfied. This is empirical, and the real "worst" may be missed. But the real most unfavorable, may also occur in the actual use of the probability is very small, the structure is generally safe.
the combination of civil buildings mainly includes dead load, live load, wind load and seismic action, while the combination of instrial buildings mainly includes dead load, live load, wind load, seismic action, snow load, crane load and ash load
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