Question $1($CLO $1$ and $2)$

a$)$ The top girder of the portal frame shown below in Figure $1$ is subjected to uniformly distributed loading $(k\frac{N}{m})$ due to dead, live and snow loading $(w_{OL},wL{L}_L,$ and $($:$w{s}_s\}.$ In addition, the top girder supports a concentrated dead load $(kN),$ Pou which acts at the girder midspan $($L$/2$ from end B$).$ Bending moment diagrams are provided for portal frames subjected to a vertical concentrated load and a uniformly distributed load $($Figure $2).$ Use the principle of superposition to draw the critical $($qualitative$)$ factored bending moment diagrams for all applicable NBCC $2020$ Ultimate Limit State load combinations $($neglect the $0\mathrm{.}9$D cases which account for overturning effects$).$

Figure $1.$ Typical portal frame $($Question $1)$

Department of Clvil Engineering

Page $1$ of $4$

York University

Introduction to Structural Design LE$/$CIVL$3230($W$2024)$

Assignment #$2$: Limit States Design; Dead, Live and Snow$/$Rain Loading

benaing moment alagram, $M(x)$ Square portal frame subjected to UDL $($assuming $El$ is the same for all members$)$

Bending moment diagram, $M(x)$

Square portal frame subjected to concentrated load, $P$ at midspan $($assuming $El$ is the same for all members$)$

Bending moment diagrams drawn on tension$-$side of members.