Calculate the principal normal stress values, the principal normal stresses and the stresses that will occur on the inclined (C) surface of the stress element whose stress state is given in the figure, using the ANALYTICAL METHOD. Show the stresses you find in the stress element. Calculate the principal normal stresses and their directions and show them by drawing a figure. σx (kg/cm2)=800 σy=870 τ=400 α (degrees)=60
Calculate the principal normal stress values, the principal normal stresses and the stresses that will occur on the inclined (C) surface of the stress element whose stress state is given in the figure, using the ANALYTICAL METHOD. Show the stresses you find in the stress element. Calculate the principal normal stresses and their directions and show them by drawing a figure. σx (kg/cm2)=800 σy=870 τ=400 α (degrees)=60
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Calculate the principal normal stress values, the principal normal stresses and the stresses that will occur on the inclined (C) surface of the stress element whose stress state is given in the figure, using the ANALYTICAL METHOD. Show the stresses you find in the stress element. Calculate the principal normal stresses and their directions and show them by drawing a figure. σx (kg/cm2)=800 σy=870 τ=400 α (degrees)=60
Transcribed Image Text:σ₁ =
n
T₁₁ = Txy
n
01,2
Tan20
cos² α +σ, sin² α-2 sin a cos a
a
xy
cos(2a) +
0x + oy
2
+
20x3
xy
X
-0₂
y
2
X
-sin(2a)
-O
2
y
2
+T₂
xy
2
T kg/cm²/
ox kg/cm².
oy kg/cm²
α
oy kg/cm²
Ox kg/cm²
7 t kg/cm²
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