Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
F2 F2 Fig. Q1.a. Complete 3D view Fig. Q1.b. Front view Fig. Q1.c. Cross section Point P is on the inclined plane (i.e., shaded plane) and on the front surface of the beam, which is subjected to external force F. (Fig. Q1.a.). The shaded plane is inclined by angle 0 with respect to negative Z axis (Fig. Q1.b.). The point P is in-plane stress state - stresses in X axis are zero - since point P is on the beam surface. At the point P, a normal vector of the cross-section, of which angle with Z axis is zero, is in parallel with Z axis. The cross-section dimension is shown in Fig. Q1.c. Assumption: Disregard Poisson's effect. Given: F= 50 N; h = 220 mm; w = 900 mm 1. Draw a 2D Mohr's circle (M.C.) - present explicitly radius, center, and principal stresses in the M.C. - by considering only stress components in Y-Z space at point P in Fig. Q1.b. 2. For a case when 0 is 35°, please calculate a normal stress and a shear stress, which occur the shaded plane, at point P. Also, draw the stress states with a square element that has sides in parallel with the inclined plane (Fig. Q1.b.) when 0 is 35° 3. Calculate maximum shear stress at point P using the M.C. drawn in 1); and find an angle 0 of the inclined plane (Fig. Q1.b.) where maximum shear stress occurs

F2 F2 Fig. Q1.a. Complete 3D view Fig. Q1.b. Front view Fig. Q1.c. Cross section Point P is on the inclined plane (i.e., shaded plane) and on the front surface of the beam, which is subjected to external force F. (Fig. Q1.a.). The shaded plane is inclined by angle 0 with respect to negative Z axis (Fig. Q1.b.). The point P is in-plane stress state - stresses in X axis are zero - since point P is on the beam surface. At the point P, a normal vector of the cross-section, of which angle with Z axis is zero, is in parallel with Z axis. The cross-section dimension is shown in Fig. Q1.c. Assumption: Disregard Poisson's effect. Given: F= 50 N; h = 220 mm; w = 900 mm 1. Draw a 2D Mohr's circle (M.C.) - present explicitly radius, center, and principal stresses in the M.C. - by considering only stress components in Y-Z space at point P in Fig. Q1.b. 2. For a case when 0 is 35°, please calculate a normal stress and a shear stress, which occur the shaded plane, at point P. Also, draw the stress states with a square element that has sides in parallel with the inclined plane (Fig. Q1.b.) when 0 is 35° 3. Calculate maximum shear stress at point P using the M.C. drawn in 1); and find an angle 0 of the inclined plane (Fig. Q1.b.) where maximum shear stress occurs

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question
F2 F2 Fig. Q1.a. Complete 3D view Fig. Q1.b. Front view Fig. Q1.c. Cross section Point P is on the inclined plane (i.e., shaded plane) and on the front surface of the beam, which is subjected to external force F: (Fig. Q1.a.). The shaded plane is inclined by angle e with respect to negative Z axis (Fig. Q1.b.). The point P is in-plane stress state – stresses in X axis are zero - since point P is on the beam surface. At the point P, a normal vector of the cross-section, of which angle with Z axis is zero, is in parallel with Z axis. The cross-section dimension is shown in Fig. Q1.c. Assumption: Disregard Poisson's effect. Given: F = 50 N; h = 220 mm; w = 900 mm 1. Draw a 2D Mohr's circle (M.C.) – present explicitly radius, center, and principal stresses in the M.C. - by considering only stress components in Y-Z space at point P in Fig. Q1.b. - 2. For a case when 0 is 35°, please calculate a normal stress and a shear stress, which occur on the shaded plane, at point P. Also, draw the stress states with a square element that has sides in parallel with the inclined plane (Fig. Q1.b.) when e is 35° 3. Calculate maximum shear stress at point P using the M.C. drawn in 1); and find an angle 0 of the inclined plane (Fig. Q1.b.) where maximum shear stress occurs
Transcribed Image Text:F2 F2 Fig. Q1.a. Complete 3D view Fig. Q1.b. Front view Fig. Q1.c. Cross section Point P is on the inclined plane (i.e., shaded plane) and on the front surface of the beam, which is subjected to external force F: (Fig. Q1.a.). The shaded plane is inclined by angle e with respect to negative Z axis (Fig. Q1.b.). The point P is in-plane stress state – stresses in X axis are zero - since point P is on the beam surface. At the point P, a normal vector of the cross-section, of which angle with Z axis is zero, is in parallel with Z axis. The cross-section dimension is shown in Fig. Q1.c. Assumption: Disregard Poisson's effect. Given: F = 50 N; h = 220 mm; w = 900 mm 1. Draw a 2D Mohr's circle (M.C.) – present explicitly radius, center, and principal stresses in the M.C. - by considering only stress components in Y-Z space at point P in Fig. Q1.b. - 2. For a case when 0 is 35°, please calculate a normal stress and a shear stress, which occur on the shaded plane, at point P. Also, draw the stress states with a square element that has sides in parallel with the inclined plane (Fig. Q1.b.) when e is 35° 3. Calculate maximum shear stress at point P using the M.C. drawn in 1); and find an angle 0 of the inclined plane (Fig. Q1.b.) where maximum shear stress occurs
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Radiation
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
SEE MORE TEXTBOOKS