90 kN/m 70 kN/m A B -3.0 m

Architectural Drafting and Design (MindTap Course List)
7th Edition
ISBN:9781285165738
Author:Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:Alan Jefferis, David A. Madsen, David P. Madsen
Chapter31: Determining Beam Sizes
Section: Chapter Questions
Problem 31.2Q
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QUESTION I - DOUBLE INTEGRATION METHOD
A consultancy firm is designing a canopy as shown below in Q. I. a, to provide shelter for the
entrance of a building. The roof consists of a plain lightweight concrete cast over a steel decking
and is placed on Universal Beams (UB). The roof is subjected to a live load caused by drifting
snowed which is assumed to be trapezoidal. The idealized beam considering the lightweight
concrete, steel decking and snow are shown in Q. 2. b. The initial beam selected has a moment
of inertia, I = 2841 cm*, and a modulus of elasticity, E = 200 GPa. Design codes specify the
maximum deflection should not exceed A,= L/360 where L is the span of the beam in mm.
Determine whether the maximum deflection of the beam is less than the permissible
deflection. If it is more than the permissible deflection recommend a minimum moment of
inertia in cm' that will meet the design codes specifications.
-Snow load
Lightweight concrete cast over steel decking
-Universal Beam
Q. I. a
90 kN/m
70 kN/m
B
Q. I. b
-3.0 m
Transcribed Image Text:QUESTION I - DOUBLE INTEGRATION METHOD A consultancy firm is designing a canopy as shown below in Q. I. a, to provide shelter for the entrance of a building. The roof consists of a plain lightweight concrete cast over a steel decking and is placed on Universal Beams (UB). The roof is subjected to a live load caused by drifting snowed which is assumed to be trapezoidal. The idealized beam considering the lightweight concrete, steel decking and snow are shown in Q. 2. b. The initial beam selected has a moment of inertia, I = 2841 cm*, and a modulus of elasticity, E = 200 GPa. Design codes specify the maximum deflection should not exceed A,= L/360 where L is the span of the beam in mm. Determine whether the maximum deflection of the beam is less than the permissible deflection. If it is more than the permissible deflection recommend a minimum moment of inertia in cm' that will meet the design codes specifications. -Snow load Lightweight concrete cast over steel decking -Universal Beam Q. I. a 90 kN/m 70 kN/m B Q. I. b -3.0 m
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