Learning Goal: A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm , web thickness tw = 8 mm , and flange thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN, and bending moment M = 4.8 kN m as shown (Figure 2). To calculate the normal and shear stresses at a point on the cross section of a column. The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic, Part A - Normal stress Calculate the normal stress at the point due to the internal normal force on the section. Express your answer with appropriate units to three significant figures. > View Available Hint(s) HA ? Onormal = Value Units Figure 1 of 2 Submit Part B - Shear stress Calculate the magnitude of the shear stress at the point due to the internal shear on the section. Express your answer with appropriate units to three significant figures. > View Available Hint(s) HA ? Value Units

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.9.17P: A sign of weight W is supported at its base by four bolls anchored in a concrete footing. Wind...
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Learning Goal:
A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm, web thickness tw = 8 mm , and flange
thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile
To calculate the normal and shear stresses at a point
on the cross section of a column.
normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN, and bending moment M = 4.8 kN • m as shown (Figure 2).
The state of stress at a point is a description of the
normal and shear stresses at that point. The normal
stresses are generally due to both internal normal
force and internal bending moment. The net result can
be obtained using the principle of superposition as
long as the deflections remain small and the response
is elastic.
Part A - Normal stress
Calculate the normal stress at the point due to the internal normal force on the section.
Express your answer with appropriate units to three significant figures.
> View Available Hint(s)
HA
?
Onormal =
Value
Units
Figure
< 1 of 2
Submit
y
Part B - Shear stress
Calculate the magnitude of the shear stress at the point due to the internal shear on the section.
Express your answer with appropriate units to three significant figures.
• View Available Hint(s)
HA
?
Value
Units
ェニ
Transcribed Image Text:Learning Goal: A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm, web thickness tw = 8 mm , and flange thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile To calculate the normal and shear stresses at a point on the cross section of a column. normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN, and bending moment M = 4.8 kN • m as shown (Figure 2). The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic. Part A - Normal stress Calculate the normal stress at the point due to the internal normal force on the section. Express your answer with appropriate units to three significant figures. > View Available Hint(s) HA ? Onormal = Value Units Figure < 1 of 2 Submit y Part B - Shear stress Calculate the magnitude of the shear stress at the point due to the internal shear on the section. Express your answer with appropriate units to three significant figures. • View Available Hint(s) HA ? Value Units ェニ
Learning Goal:
Part B - Shear stress
To calculate the normal and shear stresses at a point
on the cross section of a column.
Calculate the magnitude of the shear stress at the point due to the internal shear on the section.
The state of stress at a point is a description of the
normal and shear stresses at that point. The normal
stresses are generally due to both internal normal
force and internal bending moment. The net result can
be obtained using the principle of superposition as
long as the deflections remain small and the response
is elastic.
Express your answer with appropriate units to three significant figures.
• View Available Hint(s)
?
T =
Value
Units
Submit
Figure
1 of 2
Part C- Combined normal stress
y
Calculate the combined normal stress at the point due to internal normal force and the internal bending moment on the section.
Express your answer with appropriate units to three significant figures.
ts
• View Available Hint(s)
µA
Value
Units
O =
Submit
Transcribed Image Text:Learning Goal: Part B - Shear stress To calculate the normal and shear stresses at a point on the cross section of a column. Calculate the magnitude of the shear stress at the point due to the internal shear on the section. The state of stress at a point is a description of the normal and shear stresses at that point. The normal stresses are generally due to both internal normal force and internal bending moment. The net result can be obtained using the principle of superposition as long as the deflections remain small and the response is elastic. Express your answer with appropriate units to three significant figures. • View Available Hint(s) ? T = Value Units Submit Figure 1 of 2 Part C- Combined normal stress y Calculate the combined normal stress at the point due to internal normal force and the internal bending moment on the section. Express your answer with appropriate units to three significant figures. ts • View Available Hint(s) µA Value Units O = Submit
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