3. Consider a frame as shown below. The vertical section AB is 3 m long, and the horizontal section BC is 1.5 m long. The entire frame has a hollow circular cross- section with outer radius 5 cm and inner radius 4.5 cm. The frame is loaded as shown, with a load Py = 2500 N in the-y-direction (see coordinates below) and a load P₂= 2500 N in the -z-direction. B ↑ 3M 1.5~ Pz - » ។ Ľ d N ४ a. Calculate the stress state at the base of the frame (point A) at each of the points indicated on the figure (a, ß, y, 8). You may neglect stresses you deem to be small, but please state such assumptions clearly. b. Using the results from (a), calculate the maximum tensile stress, compressive stress and shear stress at point A. c. Assuming the material used for the frame fails in tension at 400 MPa and in compression at 500 MPa, calculate the value of P, P, at which failure occurs. Where does failure occur? 1111

3. Consider a frame as shown below. The vertical section AB is 3 m long, and the horizontal section BC is 1.5 m long. The entire frame has a hollow circular cross- section with outer radius 5 cm and inner radius 4.5 cm. The frame is loaded as shown, with a load Py = 2500 N in the-y-direction (see coordinates below) and a load P₂= 2500 N in the -z-direction. B ↑ 3M 1.5~ Pz - » ។ Ľ d N ४ a. Calculate the stress state at the base of the frame (point A) at each of the points indicated on the figure (a, ß, y, 8). You may neglect stresses you deem to be small, but please state such assumptions clearly. b. Using the results from (a), calculate the maximum tensile stress, compressive stress and shear stress at point A. c. Assuming the material used for the frame fails in tension at 400 MPa and in compression at 500 MPa, calculate the value of P, P, at which failure occurs. Where does failure occur? 1111

Name: 3. Consider a frame as shown below. The vertical section AB is 3 m lo
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Description: 3. Consider a frame as shown below. The vertical section AB is 3 m long, and thehorizontal section BC is 1.5 m long. The entire frame has a hollow circular cross-section with outer radius 5 cm and inner radius 4.5 cm. The frame is loaded asshown, wi

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

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Question

3. Consider a frame as shown below. The vertical section AB is 3 m long, and the
horizontal section BC is 1.5 m long. The entire frame has a hollow circular cross-
section with outer radius 5 cm and inner radius 4.5 cm. The frame is loaded as
shown, with a load Py = 2500 N in the -y-direction (see coordinates below) and a
load P, 2500 N in the -z-direction.
=\
B
↑
Зм
1.5~
Pz
-
♡
४
P.
a. Calculate the stress state at the base of the frame (point A) at each of the points
indicated on the figure (a, ß, y, 8). You may neglect stresses you deem to be
small, but please state such assumptions clearly.
b. Using the results from (a), calculate the maximum tensile stress, compressive
stress and shear stress at point A.
c. Assuming the material used for the frame fails in tension at 400 MPa and in
compression at 500 MPa, calculate the value of P, P, at which failure occurs.
Where does failure occur?
HE

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