One of the steel girders of a crane bridge has a ectangular box section 750mm deep and 375mm wide verall. The flange plates of the box are 30mm thick and he web plates are 15mm thick. The effective span is 12m nd the ends of the girders are simply supported but revented from rotating about the longitudinal axis. The girder carries three wheels spaced 1.5m apart which

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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One of the steel girders of a crane bridge has a
rectangular box section 750mm deep and 375mm wide
overall. The flange plates of the box are 30mm thick and
the web plates are 15mm thick. The effective span is 12m
and the ends of the girders are simply supported but
prevented from rotating about the longitudinal axis.
The girder carries three wheels spaced 1.5m apart which
can move along the length of the girder within the limits
shown in Figure 1. Each wheel transmits a vertical force of
240 kN and a horizontal transverse force of 80 kN, both
applied at a point 530mm vertically above the centroid of
the section.
(a) Calculate the maximum shear stress that occurs due to
torsion alone, and also the maximum possible angle of
twist.
(b) Determine the maximum shear stress in the web of the
box due to the combined effects of torsion and beam
shear force.
For the box section Ixx is 373,730 cm4 and lyy is 93,430
cm4. For steel G is 80 kN/mm2.
0.5m
0.5m
W WW
1.5m 1.5m
530mm
12m
W-240 kN
H-80 kN
Figure 1
Transcribed Image Text:One of the steel girders of a crane bridge has a rectangular box section 750mm deep and 375mm wide overall. The flange plates of the box are 30mm thick and the web plates are 15mm thick. The effective span is 12m and the ends of the girders are simply supported but prevented from rotating about the longitudinal axis. The girder carries three wheels spaced 1.5m apart which can move along the length of the girder within the limits shown in Figure 1. Each wheel transmits a vertical force of 240 kN and a horizontal transverse force of 80 kN, both applied at a point 530mm vertically above the centroid of the section. (a) Calculate the maximum shear stress that occurs due to torsion alone, and also the maximum possible angle of twist. (b) Determine the maximum shear stress in the web of the box due to the combined effects of torsion and beam shear force. For the box section Ixx is 373,730 cm4 and lyy is 93,430 cm4. For steel G is 80 kN/mm2. 0.5m 0.5m W WW 1.5m 1.5m 530mm 12m W-240 kN H-80 kN Figure 1
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