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- -18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa-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.-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
- At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the stresses arc known to be x = —4300 psi, a = 1700 psi, and r = 3100 psi (the sign convention for these stresses is shown in Fig, 7-1). A stress clement located at the same point in the structure (but oriented at a counterclockwise angle 0, with respect to the _y axis) is subjected to the stresses shown in the figure {b, r», and 2100 psi). Assuming that the angle 8Xis between zero and 90°, calculate the normal stress trA, the shear stress ta, and the angle BvAt a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clementThe stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
- For the stresses of plane stress state is ?? = −8 ??? , ?? = 7 ??? and??? = −6 ???Draw a Mohr’s circle diagram.Draw stress element for the given stressesFind the principal normal and shear stresses, and determine the anglefrom the x axis to ?1Draw the stress element for the principle stress.Using stress transformation, find the principle stresses and the angle of ?1Determine the stress transformation for the angle ∅ = 25° #Answer all in detailIn a plane stress condition, the components of stress at a point are sigma_{x}= 20MPa , sigma_{y} = 80MPa , Ty = 40 MPa . What is the maximum shear stress (in MPa) at the point?Please give detailed explanation. see photo for expected answer. For the following data, using the stress-transformation equations. (a) find the principal stresses and show their sense on properly oriented elements; (b) find the maximum (principal) shear stresses with the associated normal stresses and show the results on properly oriented elements; and (c) check theinvariance of the normal stresses for solutions in (a) and (b). Please give detailed explanation. See photo for expected answer.
- Answer with proper explanation. A rectangular element is a strained body is sub jected to tensile stresses of 250 N/mm² and 180N/ mm² on mutually perpendicular planes together with a shear stress of 80N/mm². Determine: (i) Principal stresses (ii) Principal planes (iii) Maximum shear stress andFor the following state of stress, (a) using the general equation of transformation of stress, find normal and shear stress, (b) find the principle stresses and show their sense in properly oriented element and (c) find the maximum shear stresses with the associated normal stresses and show the results on a properly oriented element.Using Mohr's circle on each case, determine a)The principal stresses and maximun shear stress. Show all results on sketches of properly oriented elements b)Is there the invariance of normal stresses in each case?