A plane element in a body is subjected to a normal tensile stress in the x-direction of 84000 kPa, as well as shear stresses of 28000 kPa, as shown. What are the principal stresses? y 84 000 kPa 28 000 kPa 28 000 kPa X 84 000 kPa
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- The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 19N/mm2, find the maximum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2Q 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?A prismatic bar has a cross-section of 25 mm x 50 mm and a length of 2 m. If the bar is subjected to an axial tensile force of 90 kN, the bar is elongated by 1.5 mm. What is the tensile stress? (a) 3.6 N/mm² (c) 36 N/mm2 (b) 7.2 N/mm² (d) 72 N/mm²
- The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 17N/mm2, find the maximum shear stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2The major and minor principal strains in a 2D stressed element are 70μ and -25µ respectively. If the normal strain at a plane is given as 15µ, then what will be the normal strain on a plane perpendicular to it? A B d C D 40μ 30μ 25μ 20μAn element has a tensile stress of 600 N/mm2 and a compressive stress of 400 N/mm2 acting on two mutually perpendicular planes and two equal shear stresses of 100 N/mm2 on these planes as shown in figure. (by Mohr's circle аpproach) 400N/mm 100N/mm 600N/mm 600N/mm? 100N/mm 400N/mm (a) Find the principal stresses and maximum shear stress.
- A point in a strained material is subjected to the stresses as shown in figure. The normal stress acting on a plane inclined at 30° anticlockwise from the vertical plane is N/mm² (round off to one decimal place). 30° 80 N/mm² 50 N/mm² 50 N/mm² 30% 80 N/mm² LA steel section having a cross section of 20 mm x 30 mm is subjected to an axial force of 240 kN. The steel section has produces a strain of 0.002. If it has a value of Poisson's ratio of 0.30. Which of the following gives the bulk modulus of the steel section. a. 133333 MPa b. 166667 MPa c. 111111 MPa d. 144444 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)
- 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 MpaA steel rod with a cross-sectional area of 0.25in2 is stretched between two fixed points. The tensile force in the rod at 70°F is 1200lb. If a = 6.5x10-6/°F and E = 29x106 psi, What will be the stress at 0°F? At what temperature will the stress be zero? A bronze bar 3m long with a cross-sectional area of 320mm2 is placed between two rigid walls. At ta temperature of -20°c, the gap A = 25mm. Find the temperature at which the compressive stress of the bar will be 35 MPa. Use a = 18x10-6 m/ (m. °C) and E = 80GPA.At a point in a machine component that is subjected to plane stress, the normal and shear stresses are 0 = 100MPa, oy = 35 MPa, and Txy = 70MPa, acting in the directions shown in the figure. Oy Txy Ox