2. For the state of stress shown, determine the range of value of for which the normal stress is equal to or less than 100 MPa and 50 MPa. x'
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- 1) 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 MPaThe 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 state of stress is specified in the figure shown. Determine the principal stress oy (mPa) if P =-20 mPa and y = 15 mPa P V
- 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 PxConsider 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 - iPart A The stress at a point is shown on the element. Suppose that o, = 105 MPа, т - 158 MPа Determine the principal stress. (Figure 1) Enter your answers numerically using three significant figures separated by commas. VG AEo t vec ? Omax, Oint, Omin = MPа Submit Request Answer Part B Determine the absolute maximum shear stress. Express your answer with three significant figures and use the appropriate units. HA O ) ? Figure 1 of 1 > Value Units Timax in-plane = Submit Request Answer Provide Feedback
- At a point in a component, the state of stress is shown on the element below. Assume that the stress magnitudes are s, = 7232 psi and Sy = 4790 psi. The stresses act in the directions indicated in the figure. Determine the magnitude of the absolute maximum shear stress that acts at the point. Oy Os ↑ Answer: psi Tmax =A thin polymer plate PQR is deformed so that corner Q is displaced downward 0.9 mm to new position Q', as shown in. Determine the shear strain at Q' associated with the two edges (PQ and QR). Assume a = 150 mm, b = 216 mm, c = 180 mm, and A = 0.9 mm. a b P R C Answer: Shear strain y = Q i A X urad.2D stress at a point is given by a matrix 100 301 = [1 30 20 shear stress in MPa is Oxx Txy Tyx Oyy The maximum MPa
- Find the value of normal stress if force applied is 2 N and cross sectional area 2 mm2A 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 urad1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600