The roof is supported by joints that rest on two girders. Each
joint 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 joint has a weight of b
kN. The cinder concrete has a weight of 20 kN/m3 . According to the
standard, the roof will be subjected to a snow loading of 1.2 kN/m2
. The joints have a length of 8 m each. The variables a and b
depend on your student number. Note that all the loads are
transferred to the girder via the joints, see the figures
below.
Using both the general and the simplified Slope
Deflection Method (show them separately) and assuming the
joint loads to be uniformly distributed on each girder, draw the
shear force and bending moment diagrams for the girder. There are
no support settlements. Verify your diagrams with a Space Gass
model where the joint loads are modelled as concentrated loads
spaced at 1 metre from each other on the girder.
𝑎= 70 + 𝑥/3 ;
𝑏 = 2 + 𝑥/30
x = the sum of the last digit of the student numbers in a
group.
Example (show all student numbers in your calculation):
1. A group with student numbers of 2694703, 4324507 and
1845749 has a = 76.33 and b = 2.633
1m 1m 1m 1m 1m 1m 1m 1m A B 'C Hibbeler (2017)
The roof is supported by joints that rest on two girders. Each joint can be considered to be simply supported, and the f
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