Development of the applied approach to analysis of beam-columns

摘要

The known approximate formula for calculating bending moment in statically determinate elastic rod under bending and compression is generalized to the case of a statically indeterminate one loaded with a compressive force distributed along its length. The accuracy of the proposed formula corresponds with the accuracy of engineering calculations. Presented examples show that for the statically determinate rod of constant cross-section compressed by the load amounting to 90% of a critical one the moment error is about 3%; if the rod is statically indeterminate it is about 6%.