A bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45° A Step -1 The given load case can be represented by a statically equivalent system of the following loads Select one: O 1. A tensile force placed at the centroid with intensity equals to 0.354 P; a bending moment about zaxis, M₂ = (P×D× 0.708); a bending moment about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 2. A tensile force placed at the centroid with intensity equals to 0.354P; a bending moment about z axis, M₂ = (PxDx 0.354); a bending moment about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. O 3. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (Px D× 0.708); a bending moment about y axis, My= (Px D× 0.708); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 4. A tensile force placed at the centroid with intensity equals to P; a bending moment about zaxis, M₂ = (PxDx 0.177); a bending moment about y axis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 5. A tensile force placed at the centroid with intensity equals to P; a bending moment about zaxis, M₂ = (PxDx 0.354); a bending moment about yaxis, My= (Px D× 0.354); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. O 6. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (PxDx 0.708); a bending moment about x axis, Mx= (PxDx 0.354); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 7. A tensile force placed at the centroid with intensity equals to 0.708P; a bending moment about zaxis, M₂ = (PxDx 0.354); a bending moment about xaxis, Mx=(Px D×0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 8. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (PxDx 0.708); a bending moment about yaxis, My= (Px D× 0.354); and self-weight of the vertical beam producing maximum tensile stress at the free end.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.10.3P: A flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The...
Question
A bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure
Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y.
Find the magnitude and location of the maximum normal stress in the bar.
Figure Q2 a
Figure Q2 b
45°
A
Step -1
The given load case can be represented by a statically equivalent system of the following loads
Select one:
O 1. A tensile force placed at the centroid with intensity equals to 0.354 P; a bending moment about zaxis, M₂ = (P×D× 0.708); a bending moment
about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
○ 2. A tensile force placed at the centroid with intensity equals to 0.354P; a bending moment about z axis, M₂ = (PxDx 0.354); a bending moment
about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
O 3. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (Px D× 0.708); a bending moment
about y axis, My= (Px D× 0.708); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
○ 4. A tensile force placed at the centroid with intensity equals to P; a bending moment about zaxis, M₂ = (PxDx 0.177); a bending moment
about y axis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
○ 5. A tensile force placed at the centroid with intensity equals to P; a bending moment about zaxis, M₂ = (PxDx 0.354); a bending moment
about yaxis, My= (Px D× 0.354); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
O 6. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (PxDx 0.708); a bending moment
about x axis, Mx= (PxDx 0.354); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
○ 7. A tensile force placed at the centroid with intensity equals to 0.708P; a bending moment about zaxis, M₂ = (PxDx 0.354); a bending moment about
xaxis, Mx=(Px D×0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end.
○ 8. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (PxDx 0.708); a bending moment
about yaxis, My= (Px D× 0.354); and self-weight of the vertical beam producing maximum tensile stress at the free end.
Transcribed Image Text:A bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45° A Step -1 The given load case can be represented by a statically equivalent system of the following loads Select one: O 1. A tensile force placed at the centroid with intensity equals to 0.354 P; a bending moment about zaxis, M₂ = (P×D× 0.708); a bending moment about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 2. A tensile force placed at the centroid with intensity equals to 0.354P; a bending moment about z axis, M₂ = (PxDx 0.354); a bending moment about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. O 3. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (Px D× 0.708); a bending moment about y axis, My= (Px D× 0.708); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 4. A tensile force placed at the centroid with intensity equals to P; a bending moment about zaxis, M₂ = (PxDx 0.177); a bending moment about y axis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 5. A tensile force placed at the centroid with intensity equals to P; a bending moment about zaxis, M₂ = (PxDx 0.354); a bending moment about yaxis, My= (Px D× 0.354); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. O 6. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (PxDx 0.708); a bending moment about x axis, Mx= (PxDx 0.354); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 7. A tensile force placed at the centroid with intensity equals to 0.708P; a bending moment about zaxis, M₂ = (PxDx 0.354); a bending moment about xaxis, Mx=(Px D×0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 8. A tensile force placed at the centroid with intensity equals to P ; a bending moment about zaxis, M₂ = (PxDx 0.708); a bending moment about yaxis, My= (Px D× 0.354); and self-weight of the vertical beam producing maximum tensile stress at the free end.
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