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Question 15 (1 point) A material element is subjected to plane stress conditions. The stresses at...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
A point of the material subjected to plane strain has strains: εx = 120×10-6, εy = 70×10-6 and γxy = 80×10-6. The modulus of elasticity and poisson's ratio of the material is E = 210 GPa and ν = 0.3 respectively. Determine the normal stress along the x axis σx = Answer MPa (rounding to two decimal places).
An aluminium block is subjected to the following stresses in two of the three perpencicular directions: = 46 MPa σ,-24 MPa and an unkno vn stress in the third direction r the Young's modulus or the material is 10 GPa and Poisson's atio is 0 32 and ifit s known that the strain in the z-direction ε is equal lo zero use the generalised Hooke's law to determine the strain the x direction
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10), &c = 330(10) 1) Calculate the strain components Ex, Ey and Yxy at point Q. 2) Calculate the stress components Ox, Oy and Txy at point Q. 3) Determine the principal stresses at point Q, using Mohr's circle. The Young's modulus E = 200 GPa, shear modulus G = 76.9 GPa, Poisson's ratio v= 0.29. 《 s,
A rectangular plate in plane stress is subjected to normal stresses Ox =50 MPa, Oy = 25 MPa, and shear stress Txy = -12.5 MPa. The ratio of the magnitudes of the principal stresses (01/02) is approximately: (A) 3.5 (B) 2 (C) 2.8 (0)4
1.3-4 An element in plane stress is subjected to stresses ?x-105MPa. ?y-75MPa, and T 25 MPa (see the figure for Problem 7.3-|), xy Determine the principal stresses and show them on a sketch of a properly oriented element. Oy ay Tyx
Asap 1. The bracket is made of steel (Young's modulus 200 GPa; Poisson's ratio 0.3). When the force P is applied to the bracket, the gages in the strain rosette at point A have the following readings: E.-60 μ . Ep 135 μ l, and E.-264 μ (a) Determine the shear strain at point A. (b) Determine the orientation of the principal plane, the in-plane principal strains, the maximum in-plane shear strain, and the average in-plane normal strain. Determine the...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...