Part B - The internal reaction at BAssume that the axial member is in equilibrium and the applied forces are an unknown load F₁. F = 5 kN. F₂ = 3 kN, and F₁ = 2 kN.Calculate the internal resultant normal force at section B.Express your answers to three significant figures in kN.▸ View Available Hint(s)PB =SubmitΨΕ ΑΣΦΠPart C - The internal reaction at DPD =SubmitD] ΑΣΦΩΤvecAssume that the axial member is in equilibrium and the applied forces are an unknown load F₁, F₂=5 kN. F₂ = 3 kN. and F₁ = 2 kN.Calculate the internal resultant normal force at section D.Express your answers to three significant figures in kN.▸ View Available Hint(s)Part D - The average normal stressµAvecValueP* ??UnitsKN2?Suppose the axial member has a circular cross section with a diameter of d = 16 cm at section B and a diameter of dp = 8 cm at section D.What is the average normal stress in the section with the maximum magnitude stress?Express your answer to three significant figures with the appropriate units.► View Available Hint(s)kN Learning Goal:To identify situations that can be modeled as an axially loaded bar and calculate the corresponding average normal stress.In many applications, a solid bar is used to support a force along its length. This type of bar is called an axially loaded bar. When the bar isprismatic, homogenous, and isotropic and the applied load acts through the centroid of the cross section, the regions of the bar that are not near theapplied loads will deform uniformly. Many common engineering materials, such as steel, aluminum, and other metals can be treated ashomogenous and isotropic. Other materials like wood and composites are not necessarily homogenous or isotropic. In those cases, the deformationmay not be uniform and more detailed methods of analysis are required. A section is "near" an applied load when it is closer to the load than thelargest dimension of the cross section of the member.-F3For the following questions, consider the metal axial member shown in the figure below. Assume that applied loads are such that they act axially atthe centroid of the cross section (i.e., the total axial load acting at the centroid at on the leftmost flange would be 2F, and the total axial load actingat the centroid at section C would be 2F3).F₂F₁F₂ABCF3D EF

Part B - The internal reaction at B Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁₂. = 5 kN. F₂=3 kN. and F₁ = 2 kN. Calculate the internal resultant normal force at section B. Express your answers to three significant figures in kN. ▸ View Available Hint(s) PB = Submit ΔΙΑΣΦΩΤ Part C - The internal reaction at D PD= vec Submit Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁. F₂=5 kN. F₂ = 3 kN. and F₁ = 2 kN. Calculate the internal resultant normal force at section D. Express your answers to three significant figures in kN. ▸ View Available Hint(s) |VD ΑΣΦΠ Voc Part D-The average normal stress KN ? 2 KN Suppose the axial member has a circular cross section with a diameter of d = 16 cm at section B and a diameter of dp = 8 cm at section D. What is the average normal stress in the section with the maximum magnitude stress? Express your answer to three significant figures with the appropriate units. ► View Available Hint(s)

Part B - The internal reaction at B Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁₂. = 5 kN. F₂=3 kN. and F₁ = 2 kN. Calculate the internal resultant normal force at section B. Express your answers to three significant figures in kN. ▸ View Available Hint(s) PB = Submit ΔΙΑΣΦΩΤ Part C - The internal reaction at D PD= vec Submit Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁. F₂=5 kN. F₂ = 3 kN. and F₁ = 2 kN. Calculate the internal resultant normal force at section D. Express your answers to three significant figures in kN. ▸ View Available Hint(s) |VD ΑΣΦΠ Voc Part D-The average normal stress KN ? 2 KN Suppose the axial member has a circular cross section with a diameter of d = 16 cm at section B and a diameter of dp = 8 cm at section D. What is the average normal stress in the section with the maximum magnitude stress? Express your answer to three significant figures with the appropriate units. ► View Available Hint(s)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Part B - The internal reaction at B
Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁. F = 5 kN. F₂ = 3 kN, and F₁ = 2 kN.
Calculate the internal resultant normal force at section B.
Express your answers to three significant figures in kN.
▸ View Available Hint(s)
PB =
Submit
ΨΕ ΑΣΦΠ
Part C - The internal reaction at D
PD =
Submit
D] ΑΣΦΩΤ
vec
Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁, F₂=5 kN. F₂ = 3 kN. and F₁ = 2 kN.
Calculate the internal resultant normal force at section D.
Express your answers to three significant figures in kN.
▸ View Available Hint(s)
Part D - The average normal stress
µA
vec
Value
P
* ?
?
Units
KN
2
?
Suppose the axial member has a circular cross section with a diameter of d = 16 cm at section B and a diameter of dp = 8 cm at section D.
What is the average normal stress in the section with the maximum magnitude stress?
Express your answer to three significant figures with the appropriate units.
► View Available Hint(s)
kN

Learning Goal:
To identify situations that can be modeled as an axially loaded bar and calculate the corresponding average normal stress.
In many applications, a solid bar is used to support a force along its length. This type of bar is called an axially loaded bar. When the bar is
prismatic, homogenous, and isotropic and the applied load acts through the centroid of the cross section, the regions of the bar that are not near the
applied loads will deform uniformly. Many common engineering materials, such as steel, aluminum, and other metals can be treated as
homogenous and isotropic. Other materials like wood and composites are not necessarily homogenous or isotropic. In those cases, the deformation
may not be uniform and more detailed methods of analysis are required. A section is "near" an applied load when it is closer to the load than the
largest dimension of the cross section of the member.
-F3
For the following questions, consider the metal axial member shown in the figure below. Assume that applied loads are such that they act axially at
the centroid of the cross section (i.e., the total axial load acting at the centroid at on the leftmost flange would be 2F, and the total axial load acting
at the centroid at section C would be 2F3).
F₂
F₁
F₂
A
B
C
F3
D E
F

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