Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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State of stress at a point is shown in figure. If the normal stress at inclined plane marked in the figure is 100 MPa tensile, the value of 'sigma' is
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- Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 280 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y Answer: (a) Ox = i ! psi Oy= i ! psi %3D Txy = psi (b) Op1 = i psi Op2 = i psi Tmax in-plane psiarrow_forwardPart B - The internal reaction at B Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁. F = 5 kN. F₂ = 3 kN, and F₁ = 2 kN. Calculate the internal resultant normal force at section B. Express your answers to three significant figures in kN. ▸ View Available Hint(s) PB = Submit ΨΕ ΑΣΦΠ Part C - The internal reaction at D PD = Submit D] ΑΣΦΩΤ vec Assume that the axial member is in equilibrium and the applied forces are an unknown load F₁, F₂=5 kN. F₂ = 3 kN. and F₁ = 2 kN. Calculate the internal resultant normal force at section D. Express your answers to three significant figures in kN. ▸ View Available Hint(s) Part D - The average normal stress µA vec Value P * ? ? Units KN 2 ? Suppose the axial member has a circular cross section with a diameter of d = 16 cm at section B and a diameter of dp = 8 cm at section D. What is the average normal stress in the section with the maximum magnitude stress? Express your answer to three significant figures…arrow_forwardState of plane stress questionarrow_forward
- Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 540 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i Oy= i Txy = (b) Op1 = Op2 i Tmax in-plane y C psi psi psi X psi psi psi σarrow_forwardA rectangular thin plate with Young's modulus 200 GPa and Poisson's ratio 0.30 is subjected to uniform stress distribution at its edges as shown. However it is stated that the dimension b of the plate does not change under the action of stress components , and om Considering microstrains (in 106), the change in the length of dimension a (in mm) is (rounded off to three decimal places) b- 100 mm O= 200 MPa Oyy = 200 mmarrow_forwardA thin rectangular plate ABCD is deformed into a parallelogram as shown in the figure below. The width of the plate is w = 1200 mm, and the height of the plate is h = 2000 mm. The shear strain at A is known to be +3650 µrad. Assume a = 1.8 mm. Calculate the magnitude of dimension b in the figure. D Answer: b= i W B a mm Xarrow_forward
- Question 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mmarrow_forward20 and σ are the principal stresses at a point in a strained material. Poisson ratio for the material is 0.25. Modulus of elasticity of the material is 2.20. Total strain energy stored per unit volume of the material is ko. Then the value of k is (Round off to two decimal places.)arrow_forwardMohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 220 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i Oy = Txy = i i (b) Op1 = i op2 = i max in-plane y i C psi psi psi X psi psi psi σarrow_forward
- Please solve correctlyarrow_forwardSolve Clearly!!!!z,arrow_forwardThin square plate PQRS is symmetrically deformed into the shape shown by the dashed lines in the figure.[a = 200 mm, b = 202.1 mm, c = 198.9 mm] For the deformed plate, determine the normal strain of diagonal PR? In micro £ For the deformed plate, determine the shear strain xy at corner P?in micro radarrow_forward
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