Problem 2 An A36 channel section is used as a purlin in a roof system with spacing of trusses at 4.5 m. apart. Purlins are to be placed at the joints and at the midpoints of each top chord member. Sag rods are placed at the center of each purlin. The total gravity load consists of a dead load of 1.2 kPa of roof surface (including wt. of roofing and purlins) and a live load of 1.4 kPa of the roof surface. Assume the steel section and that all loads are applied at the top flange of the purlins. Use LRFD Method. Properties of channel section Sx = 221.28 x 103 mm3 Sy = 19.01 x 103 mm3 Zx = 258.92 x 103 mm3 wwmm Zy = 38.51 x 103 mm3 Lp = 0.90 Lr = 3.34 m Cb = 1.30 www Fy = 248 MPa mh U = 1.2DL + 1.6LL S S 8 S 9 m. S 9 m. 3 m. a. Determine the flexural strength of the purlins about the x-axis. b. Determine the flexural strength of the purlins about the y-axis. c. Determine the ratio of the actual load moment to the design flexural strength of the purlin using interaction equation.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 2
An A36 channel section is used as a purlin in a roof system with spacing of trusses at 4.5 m. apart. Purlins are to
be placed at the joints and at the midpoints of each top chord member. Sag rods are placed at the center of
each purlin. The total gravity load consists of a dead load of 1.2 kPa of roof surface (including wt. of roofing and
purlins) and a live load of 1.4 kPa of the roof surface. Assume the steel section and that all loads are applied at
the top flange of the purlins. Use LRFD Method.
Properties of channel section
Sx = 221.28 x 103 mm3
Sy = 19.01 x 103 mm3
Zx = 258.92 x 103 mm3
Zy = 38.51 x 103 mm3
Lp = 0.90
Lr = 3.34 m
Cb = 1.30
S
S
3 m.
S
Fy = 248 MPa
U = 1.2DL + 1.6LL
a. Determine the flexural strength of
the purlins about the x-axis.
b. Determine the flexural strength of the purlins about the y-axis.
c. Determine the ratio of the actual load moment to the design flexural strength of the purlin using interaction
equation.
9 m.
9 m.
Transcribed Image Text:Problem 2 An A36 channel section is used as a purlin in a roof system with spacing of trusses at 4.5 m. apart. Purlins are to be placed at the joints and at the midpoints of each top chord member. Sag rods are placed at the center of each purlin. The total gravity load consists of a dead load of 1.2 kPa of roof surface (including wt. of roofing and purlins) and a live load of 1.4 kPa of the roof surface. Assume the steel section and that all loads are applied at the top flange of the purlins. Use LRFD Method. Properties of channel section Sx = 221.28 x 103 mm3 Sy = 19.01 x 103 mm3 Zx = 258.92 x 103 mm3 Zy = 38.51 x 103 mm3 Lp = 0.90 Lr = 3.34 m Cb = 1.30 S S 3 m. S Fy = 248 MPa U = 1.2DL + 1.6LL a. Determine the flexural strength of the purlins about the x-axis. b. Determine the flexural strength of the purlins about the y-axis. c. Determine the ratio of the actual load moment to the design flexural strength of the purlin using interaction equation. 9 m. 9 m.
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