How to calculate the axial force of each column
Publish: 2021-05-03 02:56:21
1.
Calculation of truss axial force with node method:
two unknown forces can be obtained from a node equation, generally starting from the support node and proceeding in turn. For a node, if the member is removed and replaced by force along the member direction, it can be assumed that it is tensile force (if the force is negative, it means pressure). The equilibrium equations in X and Y directions are listed respectively (the forces are projected into the equilibrium equations in X and Y directions respectively): ∑ x = 0 ∑ y = 0. The specific form may be as follows: f1cosa + f2cosb + acosc = 0, f1sina + f2sinb + asinc = 0, where a represents the known force, F1 F2 is the unknown force. The unknown forces F1 and F2 can be obtained by solving the equations. The positive value is the tensile force and the negative value is the pressure
2. The axial force at the upper end of each column is obtained by adding the shear force at the end of the transverse frame beam, the reaction force at the end of the longitudinal frame beam (calculated according to the simply supported beam) and the axial force from the upper column; The axial force at the lower end of each column is the axial force at the upper end plus the self weight of the column.
3. According to the building height, the section size of beam and column, the thickness of floor and roof panel, wall material and thickness, decoration method and roof live load of factory building, the axial force of center column, side column and corner column is calculated or roughly calculated in combination with the code for design of building structure and code for seismic design of buildings. In fact, it's very fast to calculate with software
when estimating the area of foundation bottom, the factor of foundation buried depth should also be considered
for reference only. I wish you all the best.
when estimating the area of foundation bottom, the factor of foundation buried depth should also be considered
for reference only. I wish you all the best.
4. The axial force at the bottom of the column is the axial force at the top of the column plus the self weight of the column itself, which is only considered when calculating the vertical dead load. When calculating the live load, the axial force at the top and bottom of the column take the same value.
5. You must give the type of material and strength grade of the column, so that I can help you judge. If it is a concrete column, simply according to the axial compression member calculation, the steps are roughly as follows: the axial force of each column is 2000 × one thousand × 10 / 27 = 740N, l0 / b = 4.75 / 0.5 = 9.5, look up the table stability coefficient φ= 98, according to the formula: n ≤ 0.9 φ( fcA+f' yA' s)=0.9 × zero point nine eight × fcA+f' yA' s) According to what you said, the process can only be written here. You must know the number and size of steel bars and the strength grade of concrete. Of course, if I design it, C30 concrete is used, FC = 19.1n/mm
6. If your problem refers to frame column, then:
1. First, calculate the bending moment of the joint, and distribute it to the rod end (including the column end) of each member on the joint to get the bending moment of the column end
2. According to the bending moment at the end of the column, the shear force at the end of the column is assumed to be an unknown number, and the moment balance equation of the member is established to calculate the shear force at the end of the column
3. According to the sum of the beam end shear force from the beams on both sides of the top of the column and the axial force at the bottom of the upper column at the top of the column, the axial force at the upper end of the column is the axial force at the lower end of the column
1. First, calculate the bending moment of the joint, and distribute it to the rod end (including the column end) of each member on the joint to get the bending moment of the column end
2. According to the bending moment at the end of the column, the shear force at the end of the column is assumed to be an unknown number, and the moment balance equation of the member is established to calculate the shear force at the end of the column
3. According to the sum of the beam end shear force from the beams on both sides of the top of the column and the axial force at the bottom of the upper column at the top of the column, the axial force at the upper end of the column is the axial force at the lower end of the column
7. The axial force at the upper end of each column is obtained by adding the shear force at the end of the transverse frame beam, the reaction force at the end of the longitudinal frame beam (calculated according to the simply supported beam) and the axial force from the upper column; The axial force at the lower end of each column is the axial force at the upper end plus the self weight of the column
vertical load is the gravity of various structural members and attachments perpendicular to the ground.
vertical load is the gravity of various structural members and attachments perpendicular to the ground.
8. If your problem refers to frame column, then:
1. First, calculate the bending moment of the joint, and distribute it to the rod end (including the column end) of each member on the joint to get the bending moment of the column end
2. According to the bending moment at the end of the column, the shear force at the end of the column is assumed to be an unknown number, and the moment balance equation of the member is established to calculate the shear force at the end of the column
3. According to the sum of the shear force at the beam end from the beams on both sides of the column top and the axial force at the bottom of the upper column at the column top, it is the axial force at the upper end of the column. The axial force at the upper end of the column plus the self weight of the column is the axial force at the lower end of the column.
1. First, calculate the bending moment of the joint, and distribute it to the rod end (including the column end) of each member on the joint to get the bending moment of the column end
2. According to the bending moment at the end of the column, the shear force at the end of the column is assumed to be an unknown number, and the moment balance equation of the member is established to calculate the shear force at the end of the column
3. According to the sum of the shear force at the beam end from the beams on both sides of the column top and the axial force at the bottom of the upper column at the column top, it is the axial force at the upper end of the column. The axial force at the upper end of the column plus the self weight of the column is the axial force at the lower end of the column.
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