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- Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial stress and is subjected to stresses a = -48 MPa and ay = 19 MPa, as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at a counterclockwise angle ?? = 25° from the x axis. (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
- -4. - An element in plane stress is subjected to stresses ??x= 105 MPa, ??y= 75 MPa, and sxy= 25 MPa (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
- A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure). The angle between the inclined bars and the horizontal is a = 52°. The axial strain in the middle bar is measured as 0.036. Determine the tensile stress in the outer bars if they are constructed of a copper alloy having the following stress-strain relationship:A simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
- A simply supported wood beam is subjected to point load P at mid-span. The stresses on element C are known to be ??x=-92 psi and txy= -7 psi. Find the principal stresses on the element and show them on a sketch of a properly oriented clement.An clement in plane stress is subjected to stresses a, and (see figure). Using Mohr’s circle, determine the stresses acting on an element oriented at an angle 0 from the x axis. Show these stresses on a sketch of an clement oriented at the angle 0. Now. The angle 0 is positive when count erclockwisc and negative when clockwise.An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial .is in the and is subjected to stresses a, = 6250 psi and a. = -1750 psi, as shown in the figure. Using Mohr s circle, determine the following: (a) The stresses acting on an element oriented at a counterclockwise angle ? = 550 from the x axis. (b) The maximum shear stresses and associated norm al stresses. Show all results on sketches of properly oriented elements.