Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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The following picture represents a bridge comprised by a continuous horizontal beam AB that has been stiffened by means of a set of pin joined bars.
The structure is loaded on the right half of the beam by a distributed load of value w. Please notice that the only element that withstands bending moments
the beam AB
All bars and beams sections are square solid 0,2m*0,1m, made of wood E=10 GPa, and max tension/compression=45 MPa.
At the end you are requested to upload thesheet with all your calculations together with the ID
Consider: a=5m, b=2m, w=300Kg/m
Please answer to the following questions
a. Order of Hyperstaticity DoH=
b. Draw the Bending moment diagram in the beam AB highlighting value at the middle BM=
c. Calculate Tension Compression loads in all the bars: Register here numerical value of load in the vertical bar Ncd=
d. Assess potential buckling in the bars]
e. Horizontal displacement of point B deltab=
f. Vertical displacement of points C and D deltac=
g. Assess detail location of the whole structure that would fail first (and mode of failure) in case load w increases, assuming that all joints work perfectly
N
deltad={deltad
W
A
В
a
a
b
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Transcribed Image Text:The following picture represents a bridge comprised by a continuous horizontal beam AB that has been stiffened by means of a set of pin joined bars. The structure is loaded on the right half of the beam by a distributed load of value w. Please notice that the only element that withstands bending moments the beam AB All bars and beams sections are square solid 0,2m*0,1m, made of wood E=10 GPa, and max tension/compression=45 MPa. At the end you are requested to upload thesheet with all your calculations together with the ID Consider: a=5m, b=2m, w=300Kg/m Please answer to the following questions a. Order of Hyperstaticity DoH= b. Draw the Bending moment diagram in the beam AB highlighting value at the middle BM= c. Calculate Tension Compression loads in all the bars: Register here numerical value of load in the vertical bar Ncd= d. Assess potential buckling in the bars] e. Horizontal displacement of point B deltab= f. Vertical displacement of points C and D deltac= g. Assess detail location of the whole structure that would fail first (and mode of failure) in case load w increases, assuming that all joints work perfectly N deltad={deltad W A В a a b
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