This document has all the correct answers for the 2nd assignment for materials for 7PPX0 course - Dimensioning of structure. This assignment is good for exam preparation as well.
HOMEWORK ASSIGNMENT MATERIALS 2- DoS - 7PPX0 - 2023-2024
Timber structures
1. Peter is building an expansion adjacent to his house. Because he wants to use it as an office the room will be
heated with use of the central heating. The flat roof of the expansion will be made with sawn timber beams with
dimension 38 x 184 mm, strength class C18 and is loaded with an equally distributed load (see picture).
The center to center distance is 600 mm. There is no gravel used on top of the roofing.
The load duration class of the variable load is: ‘medium-long’.
The loads and safety factors (Consequence Class 1) are:
Gk 0.50 kN/m2 (including dead load of the beam), g 1.08
Qk 1.00 kN/m2 (including dead load of the beam), q 1.35 , Load type ‘category H’
Determine the Unity Check for the bending stresses.
A) 0.69
B) 0.78
C) 1.00
D) 1.29
2. Determine the shear stress for the beam in question 1. What is the Unity Check for the shear stresses ?
A) f v , d 2.09 N/mm2, UC =0.19
B) f v , d 2.35 N/mm2, UC =0.21
C) v , d 0.44 N/mm2, UC =0.21
D) v , d 0.73 N/mm2, UC =0.35
3. Determine the final deflection u fin for the beam in question 1 and 2. The maximum deflection is:
wmax 0.004 L . Determine the Unity Check.
A) u fin 22.2 mm, UC 1.54
B) u fin 14.6 mm, UC 1.02
C) u fin 14.4 mm, UC 1.00
D) u fin 13.3 mm, UC 0.92
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, 4. A structure with a beam resting on a column is designed. The direction of the grain per element is given in the
figure. The engineer is calculating the stresses in detail 1. Due to the distribution of stresses, Eurcode 5 allows
to raise the surface with 30 mm per side for calculating the pressure perpendicular to the grain. What does this
mean for the calculation?
A) The pressure perpendicular to the grain in the beam and the pressure parallel to the grain at the
contact surface of the column can both be normative.
B) The pressure perpendicular to the grain in the beam is normative relative to the pressure parallel to
the grain at the contact surface of the column.
C) The pressure parallel to the grain in the column is normative relative to the pressure perpendicular to
the grain at the contact surface of the column.
D) To answer this question the center to center distance of the columns and the strength class is
needed.
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