PSI - Issue 66

Albena Doicheva et al. / Procedia Structural Integrity 66 (2024) 433–448 Author name / Structural Integrity Procedia 00 (2025) 000–000

435

3

Fig. 1. Joint shear force in the interior RC beam–column connection.

The determination of T and T ′ presents a difficulty, and acceptance is suggested

′

M

M

′ =

and

(2)

T

T

=

b

b

j

j

b

b

where b M and b M ′ are the moments at the column face, and b j and b j ′ are the lengths of the bending moment arms at the column face. Then equation (1) is rewritten as equation (3)

b ′ ′ = + − = + − . b M M V T T V V

(3)

j

C

C

j

j

b

b

The forces in the top and bottom reinforcement should be equal to each other, according to the proposed acceptance. However, these forces are not equal, as was shown in Doicheva (2023a), Doicheva (2023b) and Doicheva (2024a). In this article, the following tasks are set: 1. to determine the expressions for the forces from Figure 1, at the column face, when the cantilever beam is loaded with a uniformly distributed load; 2. to compare the obtained results with the

results from Equations (3) and Eurocode 8. 3. Mathematical model of cantilever beam

A cantilever beam is considered, Fig 2. It is supported on one side by column. The beam is statically indeterminate. The beam under the conditions of special bending with tension/compretion and Bernoulli-Euler hypothesis is considered.

a)

b)

Figure 2. Supports of cantilever beam to column; a) symmetrical cross-section; b) asymmetrical cross-section