# Calculation of stirrups in reinforced concrete beams simultaneously subjected to UDL and point loads

• Nguyễn Trường Thắng Khoa Xây dựng dân dụng và Công nghiệp, Trường Đại học Xây dựng, 55 đường Giải Phóng, quận Hai Bà Trưng, Hà Nội, Việt Nam

### Abstract

This paper presents the calculation of stirrups (without inclined reinforcing bars) of reinforced concrete (RC) beams subjected to simultaneous actions of uniformly distributed loads (UDL) and point loads using two approaches: (i) Analytical derivation and (ii) Practical analysis using Excel spread sheets. General analysis principles are introduced followed by a worked example. It is shown that: (i) The first approach seems to be complicated but is actually to argue two hyperbolic functions following the term c (which is the projection length on the longitudinal axis of the beam from the support to the end of the inclined crack); and (ii) The second approach is actually an analysis with the advantage of simplification owing to the Excel spread sheets tool which is capable of showing the ultimate acting shear force together with the nominal shear capacity on an arbitrary critical inclined crack of the beam. This paper presents the calculation of stirrups (without inclined reinforcing bars) of reinforced concrete (RC) beams subjected to simultaneous actions of uniformly distributed loads (UDL) and point loads using two approaches: (i) Analytical derivation and (ii) Practical analysis using Excel spread sheets. General analysis principles are introduced followed by a worked example. It is shown that: (i) The first approach seems to be complicated but is actually to argue two hyperbolic functions following the term c (which is the projection length on the longitudinal axis of the beam from the support to the end of the inclined crack); and (ii) The second approach is actually an analysis with the advantage of simplification owing to the Excel spread sheets tool which is capable of showing the ultimate acting shear force together with the nominal shear capacity on an arbitrary critical inclined crack of the beam.

Keywords:

beam; reinforced concrete; shear; stirrups; UDL; point load.