High School

The cross-sectional dimensions of a slender column with a stirrup under the effect of compound bending in one direction are 30x40cm, this column has three moments M1=210knm,M2=195knm and the calculation normal force Nd-300knm. Since the moment amplification coefficient of this column is beta (3)=0.955 and the effect calculated for the floor it is in, the longitudinal reinforcement diameter is 30 mm d'=3cm and the material is C25-B420C. a) Determine the column calculation moment b) Draw the cross-section detail by determining the length of the longitudinal reinforcement area, the number of reinforcements, the stirrup diameter and the spacing, by choosing the diameter of the reinforcement to be placed on the column as As-As

Answer :

The column calculation moment can be obtained by applying the moment amplification coefficient to the given moments.

a) The column calculation moment can be determined by applying the moment amplification coefficient to the given moments. The column calculation moment, Mcalc is given by

Mcalc = β * (M1 + M2),

where β is the moment amplification coefficient and M1, and M2 are the given moments. By substituting the values,

Mcalc = 0.955 * (210 kNm + 195 kNm),

we can calculate the column calculation moment.

b) To draw the cross-section detail, we need to determine the length of the longitudinal reinforcement, the number of reinforcements, the stirrup diameter, and the spacing. The longitudinal reinforcement area is determined based on the given normal force, Nd, and reinforcement diameter, d'. The number of reinforcements can be calculated by dividing the total longitudinal reinforcement area by the area of a single reinforcement. The stirrup diameter and spacing can be determined based on design requirements and codes. In the given problem, the cross-sectional dimensions, material properties, and chosen reinforcement diameter (As) are not provided. These factors are essential in determining the specific values for the length of longitudinal reinforcement, number of reinforcements, stirrup diameter, and spacing. Therefore, without these specific values, a detailed cross-section detail cannot be provided. It is recommended to consult design guidelines and codes to determine these parameters based on the specific project requirements.

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