Consider the given state of stress. Take X = 12 MPa and Y= 55 MPa. Y + X 60 MPa Determine the maximum in-plane shearing stress using Mohr's circle. The maximum in-plane shearing stress is MPa.
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- -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. aConstruct a Mohr's circle for the following point stresses: ox = 60MPa, oy = 10MPa and Txy = +20MPa, and hence determine the stress components and planes in which the shear stress is a maximum.1. Find the average normal stress. 2. Find the maximum in-plane shear stress.
- A member is subjected to a major stress of 110 MPa (tensile), minor stress of 40 MPa (tensile) along with a counter clockwise shear stress of 30 MPa. Calculate the Normal stress, tangential stress, Resultant stress and its inclination on plane make 20 to major stress. Validate your analytical results by drawing Mohr’s circle. i) Normal Stress (unit is MPa) = (ii) Tangential Stress (unit is MPa) = ) Resultant Stress (unit is MPa) Resultant inclination (unit in degree) =Two forces are applied on the beam shown below. (a) Determine the normal and shear stresses at point B on the shown cross-section. (b) Show the state of stress at the point B on a volume element. 400 lb B 1 in. 2 in. 500 Ib 2 in 10 in. 1.5 in. 1.5 in. Show your steps and highlight the following answers please I =Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.
- 3. (a) Using Stress transformation equations, determine the principal planes, the principal stresses, the maximum in-plane shear stress and the corresponding normal stress. (b) Solve part (a) using Mohr's circle. 100 MPa 75 MPa 150 MPaThis problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F= 0.55 kN, P = 4 kN, and T = 25 N·m. Given: Sy= 280 MPa. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 15-mm D. -100 mm- PConsider the general case of plane stress as shown. Write a computer program that will show a plot of the three Mohr’s circles for the element, and will also determine the maximum in-plane shear stress and the absolute maximumshear stress.
- Q: If a point is subjected to the state of stress shown in fig. bellow. Determine: 1-The principal stresses and the maximum shearing stress. 2- The normal and shearing stresses on the planes whose normal are at 25o and 1150 with the X axis. Show the results on Mohr's circle and complete sketches of differential elements. e 7:32 / Y 80mpa 50mpa to A 50mp 40mpa e 7:32Show complete solution. Include necessary figures. At a point, the major principal stress is 80 psi compression and the minor principal stress is 20 psi compression.A. Draw the Mohr's Circle for this stress combinationB. What is the maximum shear stress acting at the point and what value of normal stress acts on this same plane?C. Determine the value of the normal and shear stress acting on a plane that is 60 degrees from the minor principal plane.The state of plane stress shown occurs at a critical point of a metal machine component. As a result of several tensile tests, it has been found that the tensile yield strength is Fy for the grade of metal used. Determine the ratio of OT/ OH shown in the figure, using the maximum-shearing-stress criterion (Tresca Hexagon). (Using Mohr circle method to calculate principle and average stresses) OX TXy Mpa Mpa Mpa MPa ob σy тху 90 -60 45 310 dy OX x Sx=Sx Sy=sy txy=txy Fy=Yield Strength Answer