For the overhanging rolled steel beam with an American standard flange cross- section, identify which of the two standard S-shapes you would recommend by comparing the maximum normal stress, given each shape's elastic section modulus. 30 kips I Shape s (in³) B C D S3 x 5.7 S4 x 9.5 1.67 3.38 24 ft 3 ft 6 ft

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
Refer to the table of equations upon answering the problem.
For the overhanging rolled steel beam with an American standard flange cross-
section, identify which of the two standard S-shapes you would recommend by
comparing the maximum normal stress, given each shape's elastic section modulus.
30 kips
I
Shape
s (in³)
A
в с
D
S3 × 5.7
S4 × 9.5
1.67
3.38
24 ft
3 ft 6 ft
Transcribed Image Text:For the overhanging rolled steel beam with an American standard flange cross- section, identify which of the two standard S-shapes you would recommend by comparing the maximum normal stress, given each shape's elastic section modulus. 30 kips I Shape s (in³) A в с D S3 × 5.7 S4 × 9.5 1.67 3.38 24 ft 3 ft 6 ft
TABLE OF EQUATIONS
Normal Stress
Bearing Stress
Oh =
td
A
Shear Stress (Single)
Shear Stress (Double)
P
P
= 1
2A
Tangential Stress (Cylindrical)
PD
O, =
2t
Longitudinal Stress (Cylindrical)
PD
4t
Stress on Spherical Vessels
PD
の、=
Hooke's Law
o = Ee
4t
Deformation
Axial Strain
PL
8 =
AE
E =
Generalized Hooke's Law
Ox
Ex =
Oy
E
E
Dilatation
Oy
Ey
-- v
E
Oz
e = €x + €y + €z
E
E
-- v-
Ez =
E
Shear Strain
Shear Modulus
E
G =
2(1+ v)
Thermal Deformation
Thermal Strain
δ, - α(ΔΤ)L
ET = aAT
Shear Stress due to Torsion
Shear Stress at any Point
Tc
max =
T=-Tmax
Polar Moment of Inertia of Circle
Minimum Shear Stress (Hollow)
C1
Tmax
C2
J =
Tmin
Polar Moment of Inertia of Hollow Circle
Angle of Twist
TL
J =
JG
Shear Stress due to Torsion (Non-Circular Tubes)
Power
T
P = Tw
2tA
Angle of Twist (Non-Circular Tubes)
ds
Bending Stress
TL
O, =
Om
4A²G.
Maximum Bending Stress
Mc
Elastic Section Modulus
Om =T
Transcribed Image Text:TABLE OF EQUATIONS Normal Stress Bearing Stress Oh = td A Shear Stress (Single) Shear Stress (Double) P P = 1 2A Tangential Stress (Cylindrical) PD O, = 2t Longitudinal Stress (Cylindrical) PD 4t Stress on Spherical Vessels PD の、= Hooke's Law o = Ee 4t Deformation Axial Strain PL 8 = AE E = Generalized Hooke's Law Ox Ex = Oy E E Dilatation Oy Ey -- v E Oz e = €x + €y + €z E E -- v- Ez = E Shear Strain Shear Modulus E G = 2(1+ v) Thermal Deformation Thermal Strain δ, - α(ΔΤ)L ET = aAT Shear Stress due to Torsion Shear Stress at any Point Tc max = T=-Tmax Polar Moment of Inertia of Circle Minimum Shear Stress (Hollow) C1 Tmax C2 J = Tmin Polar Moment of Inertia of Hollow Circle Angle of Twist TL J = JG Shear Stress due to Torsion (Non-Circular Tubes) Power T P = Tw 2tA Angle of Twist (Non-Circular Tubes) ds Bending Stress TL O, = Om 4A²G. Maximum Bending Stress Mc Elastic Section Modulus Om =T
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Types of Properties of Engineering Materials
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY