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Stress Analysis of a Wide-Flange Column: A Step-by-Step Exercise, Exercises of Statics

static study questions hibbeler

Typology: Exercises

2021/2022

Uploaded on 05/31/2022

xivavoas
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Question:
figure 1
figure 2
A column with a wide-flange section has a flange width
b
=175mm, height
h
=175mm, web
thickness
tw
=7.5mm, and flange thickness
tf
=11mm(Figure 1). Calculate the stresses at a
point50mmabove the neutral axis if the section supports a tensile normal force
N
=2kNat
the centroid, shear force
V
=6kN, and bending moment
M
=4.4kNmas shown(Figure 2).
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.
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
Part C -Combined normal stress
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.
pf3
pf4

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Question:

figure 1

figure 2

A column with a wide-flange section has a flange width b = 175 mm , height h = 175 mm , web

thickness tw = 7.5 mm , and flange thickness tf = 11 mm (Figure 1). Calculate the stresses at a

point 50 mm above the neutral axis if the section supports a tensile normal force N = 2 kN at

the centroid, shear force V = 6 kN , and bending moment M = 4.4 kN⋅m as shown (Figure 2).

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.

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

Part C - Combined normal stress

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.

Answer: