a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [0] = 440 MPa; the Young's modulus E = 209 GPa. L=3 m and the coordinates of Point H are x= 0 mm, y = -75 mm, z= 0 mm. y b) L q L B X 20mm 10mm H 20mm -220mm b 180mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) The von Mises equivalent stresses at point H can be calculated as MPa c) The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as

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

Can you help me with these questions please 

Question 3
A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under
a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the
span. The yield strength of the steel is [o] = 440 MPa; the Young's modulus E = 209 GPa. L=3m
and the coordinates of Point H are x= 0 mm, y = -75 mm, Z= 0 mm.
y
9
Įi
b)
L
L
B
X
Deflection -
20mm
Rotation -
10mm H
20mm
a)
The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca
criterion)
The von Mises equivalent stresses at point H can be calculated as
180mm
-220mm
b
The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises
criterion) can be calculated as
MPa
d)
By use of the virtual work method, determine the rotation and deflection at the end B.
mm (Downward deflection is negative)
x 10-3 radians (Positive rotation is in the anticlockwise direction)
Transcribed Image Text:Question 3 A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [o] = 440 MPa; the Young's modulus E = 209 GPa. L=3m and the coordinates of Point H are x= 0 mm, y = -75 mm, Z= 0 mm. y 9 Įi b) L L B X Deflection - 20mm Rotation - 10mm H 20mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) The von Mises equivalent stresses at point H can be calculated as 180mm -220mm b The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as MPa d) By use of the virtual work method, determine the rotation and deflection at the end B. mm (Downward deflection is negative) x 10-3 radians (Positive rotation is in the anticlockwise direction)
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Axial Load
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
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