Construction
The sketch shows a garage that has a construction with roof barriers and a glulam girder. A
steel beam is loosely mounted above the gate. Under the glulam girder, there is a column that
comes down the middle of the steel girder.
• The garage is located 50 meters above sea level in Harstad.
• The wind load is 0.4 kN / m2
• Roofing can be set to 0.6 kN / m2
• The roof angle is 30 ⁰ (roof extension 30 cm horizontally)
• The span of glulam beams is 6 m.
• The span of steel beams is 3.8 m.
a) Find the characteristic snow load on the roof.
b) Sums wind load, snow load and load from roofing. State this in kN / m2
c) Calculate an evenly distributed load over the span of the glulam girder in service limit
(characteristic load)
d) Calculate the point load acting in the middle of the beam in service limit (characteristic
load)
e) Find the shear force and torque of the steel beam in the ultimate limit state
Steel structures
See http://www.staticstools.eu/en for steel profile properties.
The owner of the garage has obtained a steel beam of dimension HEA 180. S355. Show with
calculation whether the beam holds in fracture and the service limit condition. The deflection
requirement is set to l / 200.
Concrete structures
In the figure above, a cast plate is freely supported on walls in Leca. Given payload p = 3.5
kN / m2. Fixed furnishings above deck (own load) = 0.5 kN / m2. Net weight concrete = 25
kN / m3. Normal control. Indoors, dry atmosphere. Steel quality B500C. Set the thickness of
the tire to 18 cm. Use Ø12 as reinforcement dimension. Set the exposure class to XC1 50
years. Concrete B30
A). Show when calculating what type of slab this is?
B). What is the smallest cover on construction according to the exposure class?
C). Determine all reinforcement in the deck based on NS-EN 1992 which is necessary.
Include all calculations. Show with simple sketch reinforcement placement and applied
reinforcement dimension.
Concrete and steel structures
In the figure above you see a part of the construction. A cast-in-place concrete slab with
external dimensions 2.5 m * 5 m, and with a thickness of 200 mm. This is located on a wall
and a HEA beam. The beam is supported by 2 pcs. square columns. The buckling length of
these is 3 m. Up on the plate there will be a payload of 2.0 kN / m2. The spans of the
construction are set to 2.4 m and 4.9 mix and y-direction. Construction is inside the house and
should last for 50 year. It is placed in exposure class XC1. Use concrete B 20.
1a) What is the minimum cover for exposure class XC1 and 50 years with deviations?
b) Calculate what type of plate this is (2%)
c) Dimensions the plate, select a reinforcement dimension, and find the reinforcement area
(main reinforcement and distribution reinforcement). Include everything that comes with,
booklet, smallest, largest reinforcement area, smallest center distance and so on.
2 a) Dimensions of the HEA beam and columns after the fracture limit. The quality is S 355.
b) Calculate the deflection on the beam you have chosen in a.
c) Is it within or outside the requirement of l / 200? (l = length of beam)
Construction theory
A). The force F = 20 kN forms the angle v = 300 with the horizontal. Decompose the force in
X and Y direction.
B). Find the bearing forces in point A and point B, when the car’s weight is 15 kN.
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