M (kN.m) e. A cantilevered beam has of length L = 10 m and is subjected to a vertical load P₁ = 50 kN, an axial load P₂ = 100 kN passing through the neutral axis, a moment M = 200 kN.m, and a uniformly distributed load w = 30 kN/m, as shown. The cross-sectional view and dimensions are illustrated below, with point C representing the centroid of the cross-section. 300 mm W A x D W 2 L (m) P₁ ولا 25 mm Neutral Axis 200 mm P2 Support Material 50 mm M STRESS FORMULATION 25 mm N Normal stress: ON= Beam's cross-section M₂y Bending stress: Τρ Torsional shear stress: T= V, Q Transverse shear stress: T = It Q=YA' or Q= Draw the bending moment diagram for the beam. Show all your work. P₁ A L 42 D L (m) Neutral Axis P₂ M x (m) BEAM SIGN CONVENTION V V Positive internal shear M M Positive internal moment Beam sign convention CROSS-SECTIONAL MOMENTS OF INERTIA ABOUT THE CENTROID y bh³ Quadratic (second) 1,= ly = moment of inertia 12 hb³ 12 πρ 1₂ = ly=4 bh3+hb3 Polar moment of inertia 1x = 12 1x = 177 Σχιλι Centroid location: = Al Parallel axis theorem: ==Σ(1c₁ + A₁ d₁²)
M (kN.m) e. A cantilevered beam has of length L = 10 m and is subjected to a vertical load P₁ = 50 kN, an axial load P₂ = 100 kN passing through the neutral axis, a moment M = 200 kN.m, and a uniformly distributed load w = 30 kN/m, as shown. The cross-sectional view and dimensions are illustrated below, with point C representing the centroid of the cross-section. 300 mm W A x D W 2 L (m) P₁ ولا 25 mm Neutral Axis 200 mm P2 Support Material 50 mm M STRESS FORMULATION 25 mm N Normal stress: ON= Beam's cross-section M₂y Bending stress: Τρ Torsional shear stress: T= V, Q Transverse shear stress: T = It Q=YA' or Q= Draw the bending moment diagram for the beam. Show all your work. P₁ A L 42 D L (m) Neutral Axis P₂ M x (m) BEAM SIGN CONVENTION V V Positive internal shear M M Positive internal moment Beam sign convention CROSS-SECTIONAL MOMENTS OF INERTIA ABOUT THE CENTROID y bh³ Quadratic (second) 1,= ly = moment of inertia 12 hb³ 12 πρ 1₂ = ly=4 bh3+hb3 Polar moment of inertia 1x = 12 1x = 177 Σχιλι Centroid location: = Al Parallel axis theorem: ==Σ(1c₁ + A₁ d₁²)
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter6: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...
Related questions
Question
Transcribed Image Text:M (kN.m)
e.
A cantilevered beam has of length L = 10 m and is subjected to a vertical load P₁ = 50 kN, an axial
load P₂ = 100 kN passing through the neutral axis, a moment M = 200 kN.m, and a uniformly
distributed load w = 30 kN/m, as shown. The cross-sectional view and dimensions are illustrated
below, with point C representing the centroid of the cross-section.
300 mm
W
A
x
D
W
2
L (m)
P₁
ولا
25 mm
Neutral Axis
200 mm
P2
Support Material
50 mm
M
STRESS FORMULATION
25 mm
N
Normal stress:
ON=
Beam's cross-section
M₂y
Bending stress:
Τρ
Torsional shear stress:
T=
V, Q
Transverse shear stress:
T = It
Q=YA'
or
Q=
Draw the bending moment diagram for the beam. Show all your work.
P₁
A
L
42
D
L (m)
Neutral Axis
P₂
M
x (m)
BEAM SIGN CONVENTION
V
V
Positive internal shear
M M
Positive internal moment
Beam sign convention
CROSS-SECTIONAL MOMENTS OF INERTIA ABOUT THE CENTROID
y
bh³
Quadratic (second)
1,=
ly =
moment of inertia
12
hb³
12
πρ
1₂ = ly=4
bh3+hb3
Polar moment of
inertia
1x =
12
1x = 177
Σχιλι
Centroid location:
= Al
Parallel axis theorem:
==Σ(1c₁ + A₁ d₁²)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning
Steel Design (Activate Learning with these NEW ti…
Civil Engineering
ISBN:
9781337094740
Author:
Segui, William T.
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning
Steel Design (Activate Learning with these NEW ti…
Civil Engineering
ISBN:
9781337094740
Author:
Segui, William T.
Publisher:
Cengage Learning
Engineering Fundamentals: An Introduction to Engi…
Civil Engineering
ISBN:
9781305084766
Author:
Saeed Moaveni
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Principles of Geotechnical Engineering (MindTap C…
Civil Engineering
ISBN:
9781305970939
Author:
Braja M. Das, Khaled Sobhan
Publisher:
Cengage Learning