250 x 37 rolled-steel channel sections as shown below. The ste itudinally along the length of the beam every 120 mm.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

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A beam is fabricated by connecting two steel plates to two C250 x 37 rolled-steel channel sections as shown below. The steel plate has a width b = 360 mm and thickness t = 12 mm. The
connection is made using 15 mm diameter bolts spaced longitudinally along the length of the beam every 120 mm.
Plate: b x t
C250 X 37
The properties of a C250 x 37 section are given as: Izz = 37.9x100 mm¹; Area = 4750 mm²; Height = 254 mm. The built-up beam section is arranged such that the centroid of the entire
section corresponds to the shear centres of the two channel sections.
The beam section carries a shear force demand of 100 kN acting downwards.
Determine the force carried by each bolt for the given geometry and loading. Report your answer in units of kN with one decimal place of accuracy.
Fbolt=
kN
Determine the average shear stress acting in each bolt for the given geometry and loading. Report you answer in units of MPa with one decimal place of accuracy.
Tavg=
MPa
Transcribed Image Text:A beam is fabricated by connecting two steel plates to two C250 x 37 rolled-steel channel sections as shown below. The steel plate has a width b = 360 mm and thickness t = 12 mm. The connection is made using 15 mm diameter bolts spaced longitudinally along the length of the beam every 120 mm. Plate: b x t C250 X 37 The properties of a C250 x 37 section are given as: Izz = 37.9x100 mm¹; Area = 4750 mm²; Height = 254 mm. The built-up beam section is arranged such that the centroid of the entire section corresponds to the shear centres of the two channel sections. The beam section carries a shear force demand of 100 kN acting downwards. Determine the force carried by each bolt for the given geometry and loading. Report your answer in units of kN with one decimal place of accuracy. Fbolt= kN Determine the average shear stress acting in each bolt for the given geometry and loading. Report you answer in units of MPa with one decimal place of accuracy. Tavg= MPa
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