A beam is held by 3 bars of the same material/Elastic Modulus, length and same cross-sectional area of 400 mm². Hint: 1. Will need to use similar triangles. d5 D F₁ F2 E d1 d2 d3 d4 F Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value F1 40 kN d₁ 3 3 3 3 F2 80 kN 1 m d2 3 m 2 m 22 2 m d5 4 m a. Determine the magnitude of the normal force in bar AD, NAD. b. Determine the magnitude of the normal force in bar BE, NBE. c. Determine the magnitude of the normal force in bar CF, NCF. d. Determine the magnitude of the normal stress in bar AD, σAD. e. Determine the magnitude of the normal stress in bar BE, σBE. f. Determine the magnitude of the normal stress in bar CF, σCF. Round your final answers to 3 significant digits/figures. NAD = KN NBE = KN NCF = KN σAD= MPa σBE = MPa

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
Question
A beam is held by 3 bars of the same material/Elastic Modulus, length and same cross-sectional area of 400
mm².
Hint:
1. Will need to use similar triangles.
d5
D
F₁
F2
E
d1
d2
d3
d4
F
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
F1
40 kN
d₁
3 3 3 3
F2
80 kN
1 m
d2
3 m
2 m
22
2 m
d5
4 m
a. Determine the magnitude of the normal force in bar AD, NAD.
b. Determine the magnitude of the normal force in bar BE, NBE.
c. Determine the magnitude of the normal force in bar CF, NCF.
d. Determine the magnitude of the normal stress in bar AD, σAD.
e. Determine the magnitude of the normal stress in bar BE, σBE.
f. Determine the magnitude of the normal stress in bar CF, σCF.
Round your final answers to 3 significant digits/figures.
NAD =
KN
NBE =
KN
NCF =
KN
σAD=
MPa
σBE =
MPa
Transcribed Image Text:A beam is held by 3 bars of the same material/Elastic Modulus, length and same cross-sectional area of 400 mm². Hint: 1. Will need to use similar triangles. d5 D F₁ F2 E d1 d2 d3 d4 F Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value F1 40 kN d₁ 3 3 3 3 F2 80 kN 1 m d2 3 m 2 m 22 2 m d5 4 m a. Determine the magnitude of the normal force in bar AD, NAD. b. Determine the magnitude of the normal force in bar BE, NBE. c. Determine the magnitude of the normal force in bar CF, NCF. d. Determine the magnitude of the normal stress in bar AD, σAD. e. Determine the magnitude of the normal stress in bar BE, σBE. f. Determine the magnitude of the normal stress in bar CF, σCF. Round your final answers to 3 significant digits/figures. NAD = KN NBE = KN NCF = KN σAD= MPa σBE = MPa
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