The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm tw = 12 mm d = 110 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3028 mm². • The moment of inertia of the entire beam cross section about the z centroidal axis is Iz=320410000 mm4. If the beam will be subjected to a shear force of V = 110 kN, determine the shear stress at point K, located at yk = 70 mm below the z centroidal axis. H H Ун Ук Answer: TK = K MPa Z K tw h
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm tw = 12 mm d = 110 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3028 mm². • The moment of inertia of the entire beam cross section about the z centroidal axis is Iz=320410000 mm4. If the beam will be subjected to a shear force of V = 110 kN, determine the shear stress at point K, located at yk = 70 mm below the z centroidal axis. H H Ун Ук Answer: TK = K MPa Z K tw h
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will
consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are:
h= 430 mm
tw= 12 mm
d= 110 mm
t= 9.6 mm
Additionallv:
• The area of each pipe is A = 3028 mm2.
• The moment of inertia of the entire beam cross section about the z centroidal axis is I>= 320410000 mm4.
If the beam will be subiected to a shear force of V = 110 kN, determine the shear stress at point K, located at yK
= 70 mm below the z centroidal axis.
Transcribed Image Text:The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will
consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are:
h = 430 mm
tw = 12 mm
d = 110 mm
t = 9.6 mm
Additionally:
• The area of each pipe is A = 3028 mm².
• The moment of inertia of the entire beam cross section about the z centroidal axis is lz = 320410000 mm 4.
If the beam will be subjected to a shear force of V = 110 kN, determine the shear stress at point K, located at yk
= 70 mm below the z centroidal axis.
d
H
K
Answer:
TK =
MPa
Z
Ун
Ук
H
K
tw
h
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