In Figure Q4a, AC is a beam is supported at A and C with a uniformly distributed load of 40 kN/m between A and B. The distance A to B is d₁ with a length of 12.00 m; the distance B to C is d₂ with a length of 6.00 m. The point M is located at the mid-point of the beam AC. A UDL C d1 M B d2 Figure Q4a a) Draw and label the shear force diagram (SFD) for the beam shown in Figure Q4a. Label the values for shear force and bending moment at points A, B, C and at the mid-point M. [7 marks] b) Draw and label the bending moment diagram (BMD) for the beam shown in Figure Q4a and clearly indicate the type of bending that occurs between AB and between BC. On your diagram, clearly show the value of the maximum bending moment and where it occurs along the beam terms of the distance from A. In addition, label the values for bending moment at points A, B, C and at the mid-point M. [8 marks] c) The diameter (d) of a solid rod (i.e., with a circular cross-section) is 14 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young's Modulus for the material (E) is 375 GPa. When the rod is placed under tension it experiences deformation and a stress (σ) of 850 MPa. Calculate the following: (i) Strain energy (U) to 2 decimal places in Joules. (ii) Strain energy per unit volume (U/V) in J/m³.to 2 decimal places. The change in length AL to 2 decimal places in mm. (!!!) (iv) The strain (ε) due to deformation to 2 significant figures. [10 marks]
In Figure Q4a, AC is a beam is supported at A and C with a uniformly distributed load of 40 kN/m between A and B. The distance A to B is d₁ with a length of 12.00 m; the distance B to C is d₂ with a length of 6.00 m. The point M is located at the mid-point of the beam AC. A UDL C d1 M B d2 Figure Q4a a) Draw and label the shear force diagram (SFD) for the beam shown in Figure Q4a. Label the values for shear force and bending moment at points A, B, C and at the mid-point M. [7 marks] b) Draw and label the bending moment diagram (BMD) for the beam shown in Figure Q4a and clearly indicate the type of bending that occurs between AB and between BC. On your diagram, clearly show the value of the maximum bending moment and where it occurs along the beam terms of the distance from A. In addition, label the values for bending moment at points A, B, C and at the mid-point M. [8 marks] c) The diameter (d) of a solid rod (i.e., with a circular cross-section) is 14 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young's Modulus for the material (E) is 375 GPa. When the rod is placed under tension it experiences deformation and a stress (σ) of 850 MPa. Calculate the following: (i) Strain energy (U) to 2 decimal places in Joules. (ii) Strain energy per unit volume (U/V) in J/m³.to 2 decimal places. The change in length AL to 2 decimal places in mm. (!!!) (iv) The strain (ε) due to deformation to 2 significant figures. [10 marks]
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
Related questions
Question
![In Figure Q4a, AC is a beam is supported at A and C with a uniformly distributed load of
40 kN/m between A and B. The distance A to B is d₁ with a length of 12.00 m; the distance
B to C is d₂ with a length of 6.00 m. The point M is located at the mid-point of the beam
AC.
A
UDL
C
d1
M
B
d2
Figure Q4a
a) Draw and label the shear force diagram (SFD) for the beam shown in Figure Q4a.
Label the values for shear force and bending moment at points A, B, C and at the
mid-point M.
[7 marks]
b) Draw and label the bending moment diagram (BMD) for the beam shown in
Figure Q4a and clearly indicate the type of bending that occurs between AB and
between BC. On your diagram, clearly show the value of the maximum bending
moment and where it occurs along the beam terms of the distance from A. In
addition, label the values for bending moment at points A, B, C and at the mid-point
M.
[8 marks]
c) The diameter (d) of a solid rod (i.e., with a circular cross-section) is 14 mm and is
made from a homogeneous material. The length (L) of the rod is 1.75 m and
Young's Modulus for the material (E) is 375 GPa. When the rod is placed under
tension it experiences deformation and a stress (σ) of 850 MPa. Calculate the
following:
(i) Strain energy (U) to 2 decimal places in Joules.
(ii) Strain energy per unit volume (U/V) in J/m³.to 2 decimal places.
The change in length AL to 2 decimal places in mm.
(!!!)
(iv)
The strain (ε) due to deformation to 2 significant figures.
[10 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7469f9ac-83f6-47dc-a9d2-1375fe0a48ab%2Fe3a89823-cce5-408c-b9a3-3a4b8294cc22%2Ft0olrgc_processed.png&w=3840&q=75)
Transcribed Image Text:In Figure Q4a, AC is a beam is supported at A and C with a uniformly distributed load of
40 kN/m between A and B. The distance A to B is d₁ with a length of 12.00 m; the distance
B to C is d₂ with a length of 6.00 m. The point M is located at the mid-point of the beam
AC.
A
UDL
C
d1
M
B
d2
Figure Q4a
a) Draw and label the shear force diagram (SFD) for the beam shown in Figure Q4a.
Label the values for shear force and bending moment at points A, B, C and at the
mid-point M.
[7 marks]
b) Draw and label the bending moment diagram (BMD) for the beam shown in
Figure Q4a and clearly indicate the type of bending that occurs between AB and
between BC. On your diagram, clearly show the value of the maximum bending
moment and where it occurs along the beam terms of the distance from A. In
addition, label the values for bending moment at points A, B, C and at the mid-point
M.
[8 marks]
c) The diameter (d) of a solid rod (i.e., with a circular cross-section) is 14 mm and is
made from a homogeneous material. The length (L) of the rod is 1.75 m and
Young's Modulus for the material (E) is 375 GPa. When the rod is placed under
tension it experiences deformation and a stress (σ) of 850 MPa. Calculate the
following:
(i) Strain energy (U) to 2 decimal places in Joules.
(ii) Strain energy per unit volume (U/V) in J/m³.to 2 decimal places.
The change in length AL to 2 decimal places in mm.
(!!!)
(iv)
The strain (ε) due to deformation to 2 significant figures.
[10 marks]
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 11 images
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY