A W 6 x 16 section is to serve as a purlin between roof trusses 7.2 m. on centers. The roof is assumed to support a dead load of 960 N/m² of roof surface including its own weight and a live load of 1000 N/m² of horizontal roof surface projection. The slope of the roof truss is 1 vertical to 2 horizontal and the purlins are to be spaced 1.8 m. on centers. Use A 36 steel with Fy = 248 MPa. Assume all loads pass through the center of gravity of the section. Sag rods are to be placed at the middle thirds between trusses. Properties of W 6 x 16 A = 3058 mm² d = 159.51 mm br = 102.36 mm Sx = 167 x 103 mm³ Sy = 36 x 103 mm³ tw = 6.60 mm tr = 10.29 mm O Determine the bending stress along the x-axis of the W section. ® Determine the bending stress along the y-axis of the W section. Determine the ratio of the actual to the allowable bending stress using intersection equation.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem #2
A W 6 x 16 section is to serve as a purlin between roof trusses 7.2 m. on
centers. The roof is assumed to support a dead load of 960 N/m² of
roof surface including its own weight and a live load of 1000 N/m² of
horizontal roof surface projection. The slope of the roof truss is 1 vertical
to 2 horizontal and the purlins are to be spaced 1.8 m. on centers. Use
A 36 steel with Fy = 248 MPa. Assume all loads pass through the center
of gravity of the section. Sag rods are to be placed at the middle thirds
between trusses.
Properties of W 6 x 16
Sx = 167 x 103 mm3
Sy = 36 x 103 mm³
A = 3058 mm2
d = 159.51 mm
br = 102.36 mm
tr = 10.29 mm
tw = 6.60 mm
O Determine the bending stress along the x-axis of the W section.
® Determine the bending stress along the y-axis of the W section.
® Determine the ratio of the actual to the allowable bending stress
using intersection equation.
Transcribed Image Text:Problem #2 A W 6 x 16 section is to serve as a purlin between roof trusses 7.2 m. on centers. The roof is assumed to support a dead load of 960 N/m² of roof surface including its own weight and a live load of 1000 N/m² of horizontal roof surface projection. The slope of the roof truss is 1 vertical to 2 horizontal and the purlins are to be spaced 1.8 m. on centers. Use A 36 steel with Fy = 248 MPa. Assume all loads pass through the center of gravity of the section. Sag rods are to be placed at the middle thirds between trusses. Properties of W 6 x 16 Sx = 167 x 103 mm3 Sy = 36 x 103 mm³ A = 3058 mm2 d = 159.51 mm br = 102.36 mm tr = 10.29 mm tw = 6.60 mm O Determine the bending stress along the x-axis of the W section. ® Determine the bending stress along the y-axis of the W section. ® Determine the ratio of the actual to the allowable bending stress using intersection equation.
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