R W Problem Statement: The cantilevered round bar in the figure with diameter d = 25 mm, is made from SAE 1020 CD steel. Dimensions are a = 500 mm, b = 250 mm, c = 125 mm. The coordinates of point A are: x = 0, y = d/2, z = 0; and point D: x = 0, y = 0, z = -d/2. The loads are: F = 0 N, Fy = 0, F₂ = 1400. Do not neglect any stress (due to bending, torque, or shear force) unless the calculation says it is zero.
R W Problem Statement: The cantilevered round bar in the figure with diameter d = 25 mm, is made from SAE 1020 CD steel. Dimensions are a = 500 mm, b = 250 mm, c = 125 mm. The coordinates of point A are: x = 0, y = d/2, z = 0; and point D: x = 0, y = 0, z = -d/2. The loads are: F = 0 N, Fy = 0, F₂ = 1400. Do not neglect any stress (due to bending, torque, or shear force) unless the calculation says it is zero.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![**Problem Statement:**
The cantilevered round bar in the figure with diameter \( d = 25 \, \text{mm} \), is made from SAE 1020 CD steel. Dimensions are \( a = 500 \, \text{mm} \), \( b = 250 \, \text{mm} \), \( c = 125 \, \text{mm} \). The coordinates of point A are: \( x = 0 \), \( y = d/2 \), \( z = 0 \); and point D: \( x = 0 \), \( y = 0 \), \( z = -d/2 \). The loads are: \( F_x = 0 \, \text{N} \), \( F_y = 0 \), \( F_z = 1400 \, \text{N} \). Do not neglect any stress (due to bending, torque, or shear force) unless the calculation says it is zero.
Calculate:
- The bending stress \(\sigma_x^D\) at point D.
- The shear stress \(\tau^A\) at point A.
Answer tolerance = 2 percent. Be sure to include units and the correct sign with your answer.
**Your Answers:**
\[
\sigma_x^D = \, \square
\]
\[
\tau^A = \, \square
\]
**Figure Explanation:**
The diagram depicts a cantilevered round bar anchored into a wall on the left end, with a force applied at the right end. The force \( F_z \) acts downward. The length dimensions from the wall to the force application point are marked as \( a \), \( b \), and \( c \) respectively, describing the segments of the bar. The bar carries a web width \( w \), thickness \( t \), and a point of reference on the round area is labeled \( R \).
The axes system is denoted with \( x \)-axis running along the length of the bar, \( y \)-axis running vertically, and \( z \)-axis extending perpendicularly. The connection point to the wall is labeled as \( O \) with several divisions marked \( A \), \( B \), and \( D \) near the connection.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F841cf6bd-c647-4051-9b1d-594f07acae8c%2F6fb7c2e1-1661-46a6-9565-e742a5a91f42%2F81q7wo_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The cantilevered round bar in the figure with diameter \( d = 25 \, \text{mm} \), is made from SAE 1020 CD steel. Dimensions are \( a = 500 \, \text{mm} \), \( b = 250 \, \text{mm} \), \( c = 125 \, \text{mm} \). The coordinates of point A are: \( x = 0 \), \( y = d/2 \), \( z = 0 \); and point D: \( x = 0 \), \( y = 0 \), \( z = -d/2 \). The loads are: \( F_x = 0 \, \text{N} \), \( F_y = 0 \), \( F_z = 1400 \, \text{N} \). Do not neglect any stress (due to bending, torque, or shear force) unless the calculation says it is zero.
Calculate:
- The bending stress \(\sigma_x^D\) at point D.
- The shear stress \(\tau^A\) at point A.
Answer tolerance = 2 percent. Be sure to include units and the correct sign with your answer.
**Your Answers:**
\[
\sigma_x^D = \, \square
\]
\[
\tau^A = \, \square
\]
**Figure Explanation:**
The diagram depicts a cantilevered round bar anchored into a wall on the left end, with a force applied at the right end. The force \( F_z \) acts downward. The length dimensions from the wall to the force application point are marked as \( a \), \( b \), and \( c \) respectively, describing the segments of the bar. The bar carries a web width \( w \), thickness \( t \), and a point of reference on the round area is labeled \( R \).
The axes system is denoted with \( x \)-axis running along the length of the bar, \( y \)-axis running vertically, and \( z \)-axis extending perpendicularly. The connection point to the wall is labeled as \( O \) with several divisions marked \( A \), \( B \), and \( D \) near the connection.
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