2.22 Given o xx = 20 MPa, o y = -10 MPa, and oxy =-20 MPa, find the principal stresses and principal strains with LEHI behavior and E = 16 GPa and v = 0.325.
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- Consider the state of stress as shown in figure. What will be the principal stresses? 02= 16Mpa oy= – 48 M pa, Try = 60 Mpa T 48 Mpa + 16 Mpa 60 MpaProblems: Stress (ksi) 53.2 1. Determine the ductility (u) of the material based on the stress- strain diagram (problem S5.1). 43.6 37.1 0.0013 0.0063 0.163 0.247 Strain (in/in)Q 2: The state of stress at a point is characterized by the components: Ox Txy Txz [12 3 Tyx Oy Tyz = 4 [Tzx Tzy Oz 0 10. Find the values of the principal stresses and their directions?
- 1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600In terms of oxx , O yy and the material properties having a plane strain state; write the expression of the o zz Assuming there is no z-shear strain?3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 m
- Q.3: A steel rod with a cross sectional area of 150 mm² is stretched between two fixed points. The tensile load at 20°C is 5000 N. a) What will be the stress at -20°C. b) At what temperature will the stress be zero? Assume a-11.7 μm/m . °C and E= 200 GPa?2. For the state of stress shown, determine the range of value of for which the normal is equal to or less than 100 MPa and 50 MPa. stress x' + 90 MPa 60 MPa =In the marine crane link CD is has a uniform cross section of 50 x 150 mm and a modulus of 200 GPa. Determine the axial stress and change in length of link CD. Reference: Beer, et.al., 7th Edition Mechanics of Materials 35 m 15 m C D -15 m A -25 m. B 3 m 80 Mg
- A steel rod with a cross sectional area of 120〖mm〗^2 is stretched between two fixed points. The tensile load at 20°C is 4200N. What will be the stress at-25°C? α=11.7x〖10〗^(-6)/°C and E = 200GPa. See figure 06Take o,= 120 kPa and o, = 630 kPa Determine the equivalent state of stress on an element at the same point that represents the maximum in-plane shear stress at the point. (Figure 1) Figure K 1 of 1 Oy 400 kPa Part A Find the value of Tmax in-plane- Express your answer to three significant figures and include the appropriate units. µA Tmax in plane = Value Units Submit Request Answer Part B Find the value of oavg Express your answer to three significant figures and include the appropriate units.Q: A piece of material is subjected to tensile stress of 70 N/mm² in one direction and a compressive stress of 50 N/mm² in a direction at right angles to the previous one. Find fully the stresses on a plane the normal of which makes an angle of 40 degree with the 70 N/mm2 stress.