A W12x161 is used as a column to support an axial load of 1784 kN and moments about the x-axis equal to 180 kN-m, and moment about the y-axis of 60 kN-m. The column section has an unsupported height of 3.6m consisting of A36 steel with Fy = 248 Mpa which is braced against sidesway. There are no transverse loads and Kx = 1.0 and Ky = 1.0. The Column is bent in reverse curvature about both axes with equal end moments Propeties of W12x161 30580.6 mm Area depth width of flange thickness of flange 352.55 mm 317.88 mm 37.74 mm web thickness 22.99 mm Sx 3638x10' 1273x10' Sy Rx 144.78 mm Ry 81.28 mm 1. Compute the allowable axial stress if only axial stress occurs 2. Compute the allowable bending stress about the x-axis 3. Compute the allowable bending stress about the y-axis 4. Compute the interaction values for axial and bending stresses

A W12x161 is used as a column to support an axial load of 1784 kN and moments about the x-axis equal to 180 kN-m, and moment about the y-axis of 60 kN-m. The column section has an unsupported height of 3.6m consisting of A36 steel with Fy = 248 Mpa which is braced against sidesway. There are no transverse loads and Kx = 1.0 and Ky = 1.0. The Column is bent in reverse curvature about both axes with equal end moments Propeties of W12x161 30580.6 mm Area depth width of flange thickness of flange 352.55 mm 317.88 mm 37.74 mm web thickness 22.99 mm Sx 3638x10' 1273x10' Sy Rx 144.78 mm Ry 81.28 mm 1. Compute the allowable axial stress if only axial stress occurs 2. Compute the allowable bending stress about the x-axis 3. Compute the allowable bending stress about the y-axis 4. Compute the interaction values for axial and bending stresses

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A W12x161 is used as a column to support an axial load of 1784 kN and moments
about the x-axis equal to 180 kN-m, and moment about the y-axis of 60 kN-m.
The column section has an unsupported height of 3.6m consisting of A36 steel
with Fy = 248 Mpa which is braced against sidesway. There are no transverse
loads and Kx = 1.0 and Ky = 1.0. The Column is bent in reverse curvature about
both axes with equal end moments
Propeties of W12x161
30580.6 mm
Area
depth
352.55 mm
width of flange
317.88 mm
thickness of flange
37.74 mm
web thickness
22.99 mm
3638x10
1273x10
Sx
Sy
Rx
144.78 mm
Ry
81.28 mm
1. Compute the allowable axial stress if only axial stress occurs
2. Compute the allowable bending stress about the x-axis
3. Compute the allowable bending stress about the y-axis
4. Compute the interaction values for axial and bending stresses

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Step 3 : Allowable axial stress (Fa)

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Step 4 : Allowable bending stress about x axis (Fbx)

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Step 5 : Allowable bending stress about y axis (Fby)

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Step 6 : Euler stresses (Fex and Fey)

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Step 7 : Magnification factors(Cm)

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Step 8 : Bending stresses (fbx and fby)

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Step 9 : Interaction values

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