A bridge girder AB on a simple span of length L = 21 m supports a distributed load of maximum intensity q at mid-span an
Posted: Thu May 05, 2022 5:40 pm
A bridge girder AB on a simple span of length
L = 21 m
supports a distributed load of maximum intensity q at mid-span and minimum intensity
q/2
at supports A and B that includes the weight of the girder (see figure).
L = 21 m
Two diagrams of a bridge girder are shown.
In the first diagram, the bridge girder and supports are viewed from the side, with the full length L = 21 m of the girder spanning from pin support A on the left to roller support B on the right. A distributed load is represented by many arrows above the girder pointing vertically down toward the girder. The greatest load is at the center of the girder and labeled q. The least load is found at either end of the girder and labeled q⁄2. The load increases linearly from either end of the girder to the center of the girder.
In the second diagram, the cross section of a wide flange beam is shown. The beam has a shape similar to a capital I, with a narrow vertical web and wide horizontal flanges above and below the web. The horizontal width of each flange is 450 mm, and the vertical thickness of each flange is 32 mm. The horizontal width of the web is 16 mm, and the vertical height of the web, from the point where it meets the top face of the bottom flange to the point where it meets the bottom face of the top flange, is 1800 mm.
The girder is constructed of three plates welded to form the cross section shown. Determine the maximum permissible load q (in kN/m) based upon the following.
(a)
solely based on an allowable bending stress
𝜎allow = 110 MPa
82.0615
Correct: Your answer is correct.
kN/m
(b)
solely based on an allowable shear stress
𝜏allow = 50 MPa HELP FOR LETTER C
c.) Accounting for both an allowable and bending stress, and allowable shear stress.
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L = 21 m
supports a distributed load of maximum intensity q at mid-span and minimum intensity
q/2
at supports A and B that includes the weight of the girder (see figure).
L = 21 m
Two diagrams of a bridge girder are shown.
In the first diagram, the bridge girder and supports are viewed from the side, with the full length L = 21 m of the girder spanning from pin support A on the left to roller support B on the right. A distributed load is represented by many arrows above the girder pointing vertically down toward the girder. The greatest load is at the center of the girder and labeled q. The least load is found at either end of the girder and labeled q⁄2. The load increases linearly from either end of the girder to the center of the girder.
In the second diagram, the cross section of a wide flange beam is shown. The beam has a shape similar to a capital I, with a narrow vertical web and wide horizontal flanges above and below the web. The horizontal width of each flange is 450 mm, and the vertical thickness of each flange is 32 mm. The horizontal width of the web is 16 mm, and the vertical height of the web, from the point where it meets the top face of the bottom flange to the point where it meets the bottom face of the top flange, is 1800 mm.
The girder is constructed of three plates welded to form the cross section shown. Determine the maximum permissible load q (in kN/m) based upon the following.
(a)
solely based on an allowable bending stress
𝜎allow = 110 MPa
82.0615
Correct: Your answer is correct.
kN/m
(b)
solely based on an allowable shear stress
𝜏allow = 50 MPa HELP FOR LETTER C
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