# Analysis of Short Cantilevers

* Objective: *Check of the analysis of short cantilevers

* Task: *Verify the correctness of the analysis of short cantilevers

* References: *Guide on designing of concrete and reinforced concrete structures made of heavy-weight or lightweight concrete (no prestressing) (to SNiP 2.03.01-84), 1989, p. 105-106.

**Initial data file:**

Example 49.SAV

report – Arbat 49.doc.

* Compliance with the codes: *SNiP 2.03.01-84*.

**Initial data:**

b = 400 mm |
Width of the cantilever |

h = 700 mm |
Height of the cantilever |

l = 350 mm_{1} |
Cantilever overhang length |

l = 300 mm_{sup,f} |
Length of the bearing area along the cantilever |

A = 1140 mm_{s}^{2} (3Ø22) |
Cross-sectional area of longitudinal reinforcement |

A_{sw}_{ }= 157 mm^{2} (1Ø10) |
Cross-sectional area of transverse reinforcement |

N = 700 kN |
Vertical load on the cantilever |

Concrete class |
В25 |

**ARBAT initial data:**

Importance factor γ_{n} = 1

Hinge bearing of the girder on the column cantilever |
h = 700 mm |

Width of the column (cantilever) b = 400 mm

Length of the girder bearing area L_{2} = 300 mm

Concrete cover a_{1} = 19 mm

Width of the girder b_{1} = 400 mm

Load on the column cantilever Q_{c} = 700 kN

Longitudinal reinforcement of the cantilever A-III 3Ø22

Transverse reinforcement of the cantilever A-III Ø10, spacing of stirrups 150 mm

**Concrete:**

Concrete type: Heavy-weight

Concrete class: B25

Service factor for concrete |
||
---|---|---|

γ |
allowance for the sustained loads |
0.9 |

**Comparison of solutions:**

Check |
Providing strength in an oblique compressed strip between a load and a support |

Guide |
700/717 = 0,976 |

ARBAT |
0,973 |

Deviation, % |
0,3 % |

Check |
Load-bearing capacity of the longitudinal reinforcement |

Guide |
1002/1140 = 0,879 |

ARBAT |
0,879 |

Deviation, % |
0 % |