See figures attached for reference and solve carefully/ellaborately, include the units and draw the diagram. Your works will be appreciated much, Thanks! A rectangular steel bar 0.5 inch thickness by 1.5 inches width and 220 ft long is subjected to a 6000 lbs tensile load acting along its width. Find the deformation along its length and thickness if poison’s ratio is 0.27

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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B. See figures attached for reference and solve carefully/ellaborately, include the units and draw the diagram. Your works will be appreciated much, Thanks! A rectangular steel bar 0.5 inch thickness by 1.5 inches width and 220 ft long is subjected to a 6000 lbs tensile load acting along its width. Find the deformation along its length and thickness if poison’s ratio is 0.27
STRAIN AND ELONGATION:
elongation due to
original length
L =
L.
torce
grea
F
A
FL
有Y
FL
AE
THERMAL ELO NGATION ; STRESSES :
Where :
→ at T temperature
K = coeficient of thermal
For steel :
→ at T2-Temperature
- o in
k = 6.5 x 10 in- 'F,
K= 11.3 x 10 m-'c
E = 30 x 10 psi
FL
Y= KL (T2-T ) = AE
%3D
= KE
where :
VARIABLE STRESS :
Factor of Safety
Yield Stress
Encluronce Strength
FS
Sa
Sn
s.
Sm
FS
Sy
%3D
So =
Mean stress Sm :
Smin
Snax =
maximum Strs
Smax +
Sm
Smin =
minimum stress
Variable component Stress Sa:
Smax - Smin
Sa
Transcribed Image Text:STRAIN AND ELONGATION: elongation due to original length L = L. torce grea F A FL 有Y FL AE THERMAL ELO NGATION ; STRESSES : Where : → at T temperature K = coeficient of thermal For steel : → at T2-Temperature - o in k = 6.5 x 10 in- 'F, K= 11.3 x 10 m-'c E = 30 x 10 psi FL Y= KL (T2-T ) = AE %3D = KE where : VARIABLE STRESS : Factor of Safety Yield Stress Encluronce Strength FS Sa Sn s. Sm FS Sy %3D So = Mean stress Sm : Smin Snax = maximum Strs Smax + Sm Smin = minimum stress Variable component Stress Sa: Smax - Smin Sa
POISSONS RATIO (U) oru : is the ratio of lateral unit deformation to axjal unit deformatic
2G
F
Lateral Strain
Longitudinal Stroin
* along Y dais
Fx <
u%=
Zy
Fを
W
F along Xaxis
Fy
where :
F along Z axis
G
= shear modulus ofrigidity
For (steel :
%3D
Σ
II. 5 » 10"
to 12 10° PSI
G = 80 Gpa to 80 Gpa
We-W
xー
Wi
thickness
%3D
width
L2-Li
W%3D
Eyー
LI
length
T2-T
Ti
Z = Strain
Transcribed Image Text:POISSONS RATIO (U) oru : is the ratio of lateral unit deformation to axjal unit deformatic 2G F Lateral Strain Longitudinal Stroin * along Y dais Fx < u%= Zy Fを W F along Xaxis Fy where : F along Z axis G = shear modulus ofrigidity For (steel : %3D Σ II. 5 » 10" to 12 10° PSI G = 80 Gpa to 80 Gpa We-W xー Wi thickness %3D width L2-Li W%3D Eyー LI length T2-T Ti Z = Strain
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