A steel column is pin connected at the top and bottom which is laterally braced and subjected to transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel section has the following properties: A = 13000 mm² r = 94 mm Ix = 300 x 106 mm4 Sx = 1200 x 103 mm³ L = 3.6 m Yield stress Fy = 248 MPa Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148 MPa Members subjected to both axial compression and bending stresses shall be proportioned to satisfy the following requirements: Pr 8(Mrx Mry + 9 Mex Mey + Pe Determine the axial compressive stress if axial load only existed. 75.82 MPa 61.54 MPa 33.96 MPa 16.25 MPa Determine the bending stress if bending moment alone existed. 76.25 MPa 58.33 MPa ≤ 1.0 13.33 MPa 16.59 MPa Determine the value of both axial and bending moment interaction value, considering the amplification due to second order moment. 0.90 0.98 0.70 O 0.85

A steel column is pin connected at the top and bottom which is laterally braced and subjected to transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel section has the following properties: A = 13000 mm² r = 94 mm Ix = 300 x 106 mm4 Sx = 1200 x 103 mm³ L = 3.6 m Yield stress Fy = 248 MPa Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148 MPa Members subjected to both axial compression and bending stresses shall be proportioned to satisfy the following requirements: Pr 8(Mrx Mry + 9 Mex Mey + Pe Determine the axial compressive stress if axial load only existed. 75.82 MPa 61.54 MPa 33.96 MPa 16.25 MPa Determine the bending stress if bending moment alone existed. 76.25 MPa 58.33 MPa ≤ 1.0 13.33 MPa 16.59 MPa Determine the value of both axial and bending moment interaction value, considering the amplification due to second order moment. 0.90 0.98 0.70 O 0.85

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.2.1P

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Properties of materials

A property of a material describes its characteristics and distinguishes it from the others. The material properties are described it in terms of its hardness, color, appearances, and so on. The material properties generally depend on the type of material, or whether it is a metal or an alloy. There are different kinds of material properties such as mechanical properties, thermal properties, physical properties, and chemical properties. Chemical properties describe the material in terms of a chemical change. The mechanical properties come into existence when the material is acted upon by an external load. Thermal properties are associated with the temperature of the material and specific heat.

Question

A steel column is pin connected at the top and bottom which is laterally braced and subjected to
transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel
section has the following properties:
A = 13000 mm²
r = 94 mm
Ix = 300 x 106 mm4
Sx = 1200 x 103 mm³
L = 3.6 m
Yield stress Fy = 248 MPa
Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa
Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148
MPa
Members subjected to both axial compression and bending stresses shall be proportioned to satisfy
the following requirements:
Mry
+
9 Mex Mey
Determine the axial compressive stress if axial load only existed.
Pr 8 Mrx
+
Pe
75.82 MPa
61.54 MPa
33.96 MPa
16.25 MPa
Determine the bending stress if bending moment alone existed.
76.25 MPa
O58.33 MPa
13.33 MPa
≤ 1.0
16.59 MPa
Determine the value of both axial and bending moment interaction value, considering the
amplification due to second order moment.
O 0.90
0.98
0.70
0.85

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