A state of stress is specified in the figure shown. Determine the principal stress oy (MPa) if P =-27 mPa and v = 20 mPa P
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- A state of stress is specified in the figure shown. Determine the principal stress oy (mPa) if P =-20 mPa and y = 15 mPa P V1) The state of plane stress at a point is shown on the element in Figure. Determine the maximum in-plane shear stress at this point. B 50 MPa ox Ox= -80 MPa = +50 MPa Oy Txy = -25 MPa 80 MPa 80 MPa A 25 MPa Ľ 50 MPa2. 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 =
- A state of stress is specified in the figure shown below. Determine the Normal stress o (mPa) on the Principal Plane if P1 = -63 mPa; P2 = -80 mPa and v= 54 mPa Py PxThe stresses at a point in a bar are o1 = 28N/mm2 (tensile) and o2=12N/mm2 (compressive) as shown in Figure (a) Determine the normal, tangential and resultant stress in magnitude and direction on a plane inclined at 55° to the axis of the major stress. (b) Determine the maximum intensity of shear stress in the material at the point. (c) Also, solve the same problem using Mohr's circle method and compare the results. O2 Axis of Major Stress 55°A thin rectangular polymer plate PQRS of width b = 361 mmand height = 193 mm is shown in the figure. The plate is deformed so that corner Q is displaced upward by c = 3.1 mm and corner R is displaced leftward by the same amount. Determine the shear strain at corner P after deformation. a Y = b S a urad
- A state of stress is specified in the figure shown below. Determine the Normal stress oy (mPa) on the Principal Plane if P1 = -9mPa; P2 = 47mPa and v= 25mPa P1 P2Consider 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 MpaThe state of stress at a certain point in a stressed body is as shown in the figure. Normal stress in x-direction is 80 MPa (Tensile) and in y-direction is 40 MPa (Compressive). The radius of the Mohr's circle for this state of stress will be O, = 40 MPa O, = 80 MPa + Ox = 80 MPa Oy = 40 MPa (а) 60 MPа (b) 40 MPa (c) 20 MPa (d) 10 MPa
- Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on the horizontal and vertical planes at the point are shown in the figure. Note that the given stress values are absolute values and stress sign should be determined based on the figure. [o 107 MPa, o = 172 MPa, t= 149 MPa] Oy Try Determine the principal normal stress a A8T 7 MMPA steel wire (E = 200 GPa) of diameter d = 1.0 mm is bent around a pulley of radius Ro= 400 mm (see figure below). Ro a. What is the maximum stress in the wire? b. Does the stress increase or decrease if the radius of the pulley is increased?Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume'stress magnitudes of 5,-80 MPa, S - 220 MPa. Sy For the given state of stress at a point in a structural member, determine the center Cand the radius R of Mohr's circle. Answers: C- MPa, R- i MPa. Save for Later Part 3 Determine the principal stresses (api > Op2 ) for this state of stress. Answers: Opl = MPa, o,2 = MPa Save for Later Part 4 For this Mohr's circle, determine the magnitude of the central angle between: (a) pointxand the point representing the principal stress opl- (b) point x and the point representing the principal stress Op2. (a) Angle - i (b) Angle - i