The rectangular bar shown below is 1.5 meters long, and is pulled in tension by an 80kN force. The materials elastic modulus (E) is 10000MPA, and the Poisson's ratio is 0.2. Assume the yield stress of the steel is 50MPA. a. Determine the change in length of the bar. b. Determine the axial stress in the bar. c. Calculate the axial strain and the lateral strain for the bar. d. The bars cross sectional dimensions was 50mmx100mm before the 80kN load was applied. What are the new cross sectional dimensions after the load is applied? e. What is the factor of safety for the bar? P=80 kN 50 mm 1.5 m P= 80 kN 100 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Textbook: Strength of Materials

 

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Formula Sheet
Centre of Gravity and Moment of Inertia
ΣΑ
ΣΑ
EA,
ΣΑ
I, = I, + Ad² I¸ =E(!.)+ E(Ad²)
1, = E(!.)+
y
Axial Stress and Internal Forces
ΣΕ, -0 Σ , =0 ΣΜ=0
o = P/ A
T =V | A
S.F. = o alow /o.
allow
actual
Strain
PL
8 =
AE
· E \ateral
V =
E =
E =
L
E axial
Transcribed Image Text:Formula Sheet Centre of Gravity and Moment of Inertia ΣΑ ΣΑ EA, ΣΑ I, = I, + Ad² I¸ =E(!.)+ E(Ad²) 1, = E(!.)+ y Axial Stress and Internal Forces ΣΕ, -0 Σ , =0 ΣΜ=0 o = P/ A T =V | A S.F. = o alow /o. allow actual Strain PL 8 = AE · E \ateral V = E = E = L E axial
The rectangular bar shown below is 1.5 meters long, and is pulled in tension by an 80kN
force. The materials elastic modulus (E) is 10000MPA, and the Poisson's ratio is 0.2.
Assume the yield stress of the steel is 50MPA.
a. Determine the change in length of the bar.
b. Determine the axial stress in the bar.
c. Calculate the axial strain and the lateral strain for the bar.
d. The bars cross sectional dimensions was 50mmx100mm before the 80kN load
was applied. What are the new cross sectional dimensions after the load is
applied?
e. What is the factor of safety for the bar?
P= 80 kN
50 mm
1.5m
P= 80 kN
100 mm
Transcribed Image Text:The rectangular bar shown below is 1.5 meters long, and is pulled in tension by an 80kN force. The materials elastic modulus (E) is 10000MPA, and the Poisson's ratio is 0.2. Assume the yield stress of the steel is 50MPA. a. Determine the change in length of the bar. b. Determine the axial stress in the bar. c. Calculate the axial strain and the lateral strain for the bar. d. The bars cross sectional dimensions was 50mmx100mm before the 80kN load was applied. What are the new cross sectional dimensions after the load is applied? e. What is the factor of safety for the bar? P= 80 kN 50 mm 1.5m P= 80 kN 100 mm
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