# The normal and shear stresses

#### Zouatine

Homework Statement
Calcul of stresses
Homework Equations
1- σ'x=σx*cos(β)^2+σy*sin(β)^2+2*τxy*cos(β)*sin(β)

2- σ'y=σx*sin(β)^2+σy*cos(β)^2-2*τxy*cos(β)*sin(β)

3- τxy'=-σx*sin(β)*cos(β)+σy*sin(β)*cos(β)+τxy*(cos(β)^2-sin(β)^2)
Hi! i have this exercise and solution :

Exercise:
steel plate given in figure (a) is joined by an inclined butt weld ,the plate is subjected to tensile stresses in both x and y directions, σ(x)=54 N/mm^2 and σ(y)=38 N/mm^2 ,
1) Determine the normal and shear stresses of the butt weld.

this is transformation matrices :

2)second question :
in which direction the stress normal will be maximum ?

My problem: is τxy ( why in first we made it 0 in transformation matrice (and why it's 0) and in second question it's calculed .

Related Introductory Physics Homework Help News on Phys.org

"The normal and shear stresses"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving