# List of symbols

Symbol | Name of the symbol | Unit |
---|---|---|

$E$ | modulus of elasticity of the beam material | $\mathrm{MPa}$ |

$I$ | area moment of inertia about the centroidal axis of the beam cross section | $\mathrm{mm^4}$ |

$M$ | bending moment | $\mathrm{Nmm}$ |

$M_A$ | reaction end moment $ M_A $ | $\mathrm{Nmm}$ |

$M_B$ | reaction end moment $ M_B $ | $\mathrm{Nmm}$ |

$M_O$ | applied couple | $\mathrm{Nmm}$ |

$M_{max+}$ | max. moment + | $\mathrm{Nmm}$ |

$M_{max-}$ | max. moment - | $\mathrm{Nmm}$ |

$M_{max}$ | max. moment | $\mathrm{Nmm}$ |

$R_A$ | vertical end reactions $ R_A $ | $\mathrm{N}$ |

$R_B$ | vertical end reactions $ R_B $ | $\mathrm{N}$ |

$T_1$ | temperature on the top surface | $\mathrm{°C}$ |

$T_2$ | temperature on the bottom surface | $\mathrm{°C}$ |

$V$ | transverse shear | $\mathrm{N}$ |

$W$ | load | $\mathrm{N}$ |

$W_a$ | unit load $ W_a $ | $\mathrm{N/mm}$ |

$W_l$ | unit load $ W_l $ | $\mathrm{N/mm}$ |

$a$ | length $ a $ | $\mathrm{mm}$ |

$l$ | length $ l $ | $\mathrm{mm}$ |

$t$ | depth of beam | $\mathrm{mm}$ |

$x$ | distance $ x $ from the left end of the span | $\mathrm{mm}$ |

$y$ | deflection | $\mathrm{mm}$ |

$y_A$ | deflection $ y_A $ | $\mathrm{mm}$ |

$y_B$ | deflection $ y_B $ | $\mathrm{mm}$ |

$y_{max+}$ | max. deflection + | $\mathrm{mm}$ |

$y_{max-}$ | max. deflection - | $\mathrm{mm}$ |

$y_{max}$ | max. deflection | $\mathrm{mm}$ |

$Δ_o$ | lateral displacement | $\mathrm{mm}$ |

$γ$ | temperature coefficient of expansion | $\mathrm{mm/mm/°C}$ |

$θ$ | slope | $\mathrm{rad}$ |

$θ_A$ | angular displacement $ θ_A $ | $\mathrm{rad}$ |

$θ_B$ | angular displacement $ θ_B $ | $\mathrm{rad}$ |

$θ_o$ | angular deformation | $\mathrm{rad}$ |

$θ_{max+}$ | max. angular displacement + | $\mathrm{rad}$ |

$θ_{max-}$ | max. angular displacement - | $\mathrm{rad}$ |

$θ_{max}$ | max. angular displacement | $\mathrm{rad}$ |