CIVL$352$ S$124$ STRUCTURES $1$

Project Assignment $2$: Slope Deflection Method

The roof is supported by joists that rest on two girders. Each joist can be considered to be

simply supported, and the front girder can be considered to be attached to the three columns by

a pin at A and rollers at $B$ and $C.$ Assume the roof will be made from $a$ mm$-$thick cinder

concrete slab, and each joist has a weight of $bkN.$ The cinder concrete has a weight of $20$

$k\frac{N}{m^3}.$ According to the standard, the roof will be subjected to a snow loading of $1\mathrm{.}2k\frac{N}{m^2}.$

The joists have a length of $8m$ each. The variables a and $b$ depend on your student number.

Note that all the loads are transferred to the girder via the joists, see the figures below. Ignore

load factors in vour calcolations

Using both the general and the simplified Slope Deflection Methods $($show them separately$)$

and assuming the joist loads to be uniformly distributed on each girder, draw the shear force

and bending moment diagrams for the girder. There are no support settlements, and the frame

is braced against sidesway with diagonal cross$-$bracing as shown in the photograph.

Verify your diagrams with a Space Gass model where the joist loads are modelled as

concentrated loads spaced at $1$ metre from each other on the girder. Identify and discuss the

differences between your diagrams and those given by Space Gass.

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$a=70+\frac{x}{3}$;$b=2+\frac{x}{30}$

$x=12$