4. If the state of strain in a body is given by 100-100 0 E=|-100-200 01×10-6...
The state of strain at the point on the bracket has components ϵ
x= -130(10-6), ϵ y= 280(10-6), and
γ x y= 75(10-6).
Determine the principal stress, σ 1 in MPa at the point.
Determine the principal stress, σ 2 in MPa at the point.
Assume E = 200 GPa, and ν= 0.3.
1 х
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
4 Stress Tensor 1. Given: T=14 1 01 MPa. 0 0 1 (a) find the stress vector on the plane whose normal is in the direction of +ý (b) Find the normal stress on the same plane. (c) Find the magnitude of the tangential stress on the same plane. (d) Find the three principal directions of stress. Hint: the determinant of a 3 x3 11 a12 13 det a a2 a23a11 (a22033-a3223) a12 a1a33-a31a23)+a13(a2132-a31022) 031 a32 33 Given the following...
Please show all work
#1. Given a body in a state of plane stress with no body forces where 0x = x’y and 0,= v^3y find in #2. What must be the value of the constant C in the expression for Oy for a state of plane stress to exist in a body with zero body forces and the stress components as defined below with oo a constant:
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
1. A state of strain (Ex) on a surface of material with modulus of elasticity E-30x10* psi is given as if the possion's ratio for material is given by s 0.3, and shear stress at the same section is given as 20 Kpsi, find normal stress, and Lateral Stress σ , and from these values and shear stress find principal stresses and maximum shear stress at the section and their directiohal angles. {knowing σ «E ε and ơy--μο, )
1....
15. The state of strain at the point on the bracket has components Ex= 200(10), Ey = -300(10), Xxy = 400(106). Determine the equivalent in-plane strains on an element oriented at an angle of 30 degrees counterclockwise from the original position by using a) b) the strain transformation equations and Mohr's circle.
Copper Borosilicate Glass 250 250 200 200 - 150 150 Stress (MPa) Stress (MPa) 100 100 50 50 0.2 0.5 0.6 -4 5-10 0.001 Elongation (or Strain) 0.1 0.3 0.4 Elongation (or Strain) a) Copper Stress-Strain Curve 1 b) Borosilicate Glass Stress-Strain Curve Al = a Lo AT F - σΑ 6 AL AL lo A ssume that the pipe Length lo=1m, the material is cu, the change in temperature is 40°C with the pipe remain elastic? what are the...
DI Question 6 2 pts Consider the following Truth table 000 0| 0 000 11 00 10| 0 00 1 11 0100|1 01 0 11 0 01 1 0 | 0 01 1 1| 0 100 0 | 0 100 1| 1 10 1010 10 1 1| 1 11 001 O 11 0 1 1 0 Fill the following K-map 01 2 Select ▼ | [Select] 01 sect] | ▼ | [Select] ▼ | [Select] [Select] f11 15 | ▼...