A steel column carries moment Mx = 11kN.m and My = 16.5 kN.m and an axial load of 220 KN. The steel section has the following properties: A = 7420 mm² ry = 50.4 mm Sx = 693x10³ mm³ Sy = 186x10³ mm³ K = 1.0 L = 6 m Fy = 400 MPa E = 200000 MPa Tx = 108 mm Cm = 0.85 Axial compressive stress that would be permitted if axial force alone existed Fa = 72.54 MPa. Compressive bending stress that would be permitted if bending moment along the x-axis alone existed Fbx = 240MPa (0.60 Fy). Compressive bending stress that would be permitted if bending moment along the y-axis alone existed Fby = 300MPa (0.75 Fy). 1. Which of the following gives the axis compressive stress if axial load only existed. a. 30.45 MPa b. 27.82 MPa c. 28.46 MPa d. 29.65 MPa 2. Which of the following gives the bending stress if bending moment alone existed. a. 105 .48MPa b. 106.73 MPa c. 104.58 MPa d. 102.37 MPa 3. Using the Interaction formula which of the following gives the value of both axial and bending moment interaction value. a. 0895 b. 0.931 c. 0.911 d. 0.962
A steel column carries moment Mx = 11kN.m and My = 16.5 kN.m and an axial load of 220 KN. The steel section has the following properties: A = 7420 mm² ry = 50.4 mm Sx = 693x10³ mm³ Sy = 186x10³ mm³ K = 1.0 L = 6 m Fy = 400 MPa E = 200000 MPa Tx = 108 mm Cm = 0.85 Axial compressive stress that would be permitted if axial force alone existed Fa = 72.54 MPa. Compressive bending stress that would be permitted if bending moment along the x-axis alone existed Fbx = 240MPa (0.60 Fy). Compressive bending stress that would be permitted if bending moment along the y-axis alone existed Fby = 300MPa (0.75 Fy). 1. Which of the following gives the axis compressive stress if axial load only existed. a. 30.45 MPa b. 27.82 MPa c. 28.46 MPa d. 29.65 MPa 2. Which of the following gives the bending stress if bending moment alone existed. a. 105 .48MPa b. 106.73 MPa c. 104.58 MPa d. 102.37 MPa 3. Using the Interaction formula which of the following gives the value of both axial and bending moment interaction value. a. 0895 b. 0.931 c. 0.911 d. 0.962
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A steel column carries moment Mx = 11kN.m and My = 16.5 kN.m and an axial load of 220 KN.
The steel section has the following properties:
A = 7420 mm²
ry = 50.4 mm
Sx = 693x10³ mm³
Sy = 186x10³ mm³
K = 1.0
L = 6 m
Fy = 400 MPa
E = 200000 MPa
Tx = 108 mm
Cm = 0.85
Axial compressive stress that would be permitted if axial force alone existed Fa = 72.54 MPa. Compressive bending stress that would be permitted if bending moment along the x-axis alone existed Fbx = 240MPa (0.60 Fy). Compressive bending stress that would be permitted if bending moment along the y-axis alone existed Fby = 300MPa (0.75 Fy).
The steel section has the following properties:
A = 7420 mm²
ry = 50.4 mm
Sx = 693x10³ mm³
Sy = 186x10³ mm³
K = 1.0
L = 6 m
Fy = 400 MPa
E = 200000 MPa
Tx = 108 mm
Cm = 0.85
Axial compressive stress that would be permitted if axial force alone existed Fa = 72.54 MPa. Compressive bending stress that would be permitted if bending moment along the x-axis alone existed Fbx = 240MPa (0.60 Fy). Compressive bending stress that would be permitted if bending moment along the y-axis alone existed Fby = 300MPa (0.75 Fy).
1. Which of the following gives the axis compressive stress if axial load only existed.
a. 30.45 MPa
b. 27.82 MPa
c. 28.46 MPa
d. 29.65 MPa
2. Which of the following gives the bending stress if bending moment alone existed.
a. 105 .48MPa
b. 106.73 MPa
c. 104.58 MPa
d. 102.37 MPa
3. Using the Interaction formula which of the following gives the value of both axial and bending moment interaction value.
a. 0895
b. 0.931
c. 0.911
d. 0.962
Transcribed Image Text:Members subjected to both axial compression and bending stresses shall be
proportioned to satisfy the following requirements:
Cmfbx
fa
(1-
Cmfb,
fa
Fb,
fa
= 1.0
Fa
Fbx (1-
Fex
Fe,
where: Fe, =
12E
23
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