N A F q C B D X 2a a a The figure above shows a static indeterminate beam ABCD. The beam has a fixed joint bearing in A and a sliding bearing in B and C. Note that the beam is continuous at point B and that the joint in the bearing is below the beam. The beam is subjected to an evenly distributed load q between A and C, while there is a point load F at point D. The beam is made of steel with an E-module E = 210 000 MPa and has a cross section with a second area moment ly = 12x106 mm4. The value of the evenly distributed load q and the length a are determined from: 9 ID+25 20 kN/m ID+40 a= m 50 ID=40 a) Determine how much the maximum force can be when the bearing in point B can withstand a maximum vertical force of 50 kN (Bz< 50 kN). Write your candidate number on all the sheets you upload. b) Now set the force F to the value you found in question a) and decide how big the deflection of the beam will be in point D, under the point load F. Write your candidate number on all the sheets you upload. (If you did not find the magnitude of the force F in a) you can assume F = (70-3D) KN, that although this is not the exact value of F.)
N A F q C B D X 2a a a The figure above shows a static indeterminate beam ABCD. The beam has a fixed joint bearing in A and a sliding bearing in B and C. Note that the beam is continuous at point B and that the joint in the bearing is below the beam. The beam is subjected to an evenly distributed load q between A and C, while there is a point load F at point D. The beam is made of steel with an E-module E = 210 000 MPa and has a cross section with a second area moment ly = 12x106 mm4. The value of the evenly distributed load q and the length a are determined from: 9 ID+25 20 kN/m ID+40 a= m 50 ID=40 a) Determine how much the maximum force can be when the bearing in point B can withstand a maximum vertical force of 50 kN (Bz< 50 kN). Write your candidate number on all the sheets you upload. b) Now set the force F to the value you found in question a) and decide how big the deflection of the beam will be in point D, under the point load F. Write your candidate number on all the sheets you upload. (If you did not find the magnitude of the force F in a) you can assume F = (70-3D) KN, that although this is not the exact value of F.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Task 12
Z
A
C
B
2a
a
a
The figure above shows a static indeterminate beam ABCD. The beam has a fixed joint bearing in A
and a sliding bearing in B and C. Note that the beam is continuous at point B and that the joint in the
bearing is below the beam. The beam is subjected to an evenly distributed load q between A and C,
while there is a point load F at point D. The beam is made of steel with an E-module E = 210 000 MPa
and has a cross section with a second area moment ly = 12x106 mm4. The value of the evenly
distributed load q and the length a are determined from:
9=
ID+25
20
kN/m
ID+40
a=
m
50
ID=40
a) Determine how much the maximum force can be when the bearing in point B can withstand
a maximum vertical force of 50 kN (Bz< 50 kN). Write your candidate number on all the
sheets you upload.
b) Now set the force F to the value you found in question a) and decide how big the deflection
of the beam will be in point D, under the point load F. Write your candidate number on all
the sheets you upload. (If you did not find the magnitude of the force F in a) you can assume
F
= (70-
-
3.D) KN.
that
5
although this is not the exact value of F.)
=
O
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