The state of plane strain on an element has components of Ez = 500 (10-6), y = 300(10-6), and Yzy-200(10-6). (Figure 1) Figure Edy dy Yxyf dx €₂dx 1 of 1 > Part A Determine the equivalent state of strain on an element at the same point oriented 45° clockwise with respect to the original element Enter your answers to three significant figures separated by commas. Ez, Ey, Yz'y = 97| ΑΣΦ.11 | vec Submit Request Answer Provide Feedback ? Next >

Please show each and every step in detail. Dont miss any steps and highlight the final answer. Thanks!

Problem 2. A block of cast iron was wrapped in the thin aluminum foil as shown on the figure. At room temperature there is no stress on the foil. The whole system is then immersed in liquid nitrogen at -196°C. Find the stress on the aluminum foil. Is the foil going to deform permanently? Is it going to break? Stress [MPa] 350 300 250 200 150 100 50 0 0 alu alloy 5083-H34 0.005 0.01 0.015 0.02 Strain Aluminum foil 5 µm thick, this is a continuous strip with the ends welded together Cast iron 20 mm thick a aluminum = 2.4 105 K-¹, Stress MPa 400 300 200 100 a iron 1.2 105 K-1 ↑ 11 0 0 0.05 0.1 0.15 0.2 0.25 Strain Fig. 2. Stress-strain diagrams for aluminum. Left: Low strain region. Right: Full strain range. Hint: you can get the Young's modulus, proportions limit (elastic limit), and break point from the graphs.

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You need the shear modulus for a particular material in order to calculate shear strain for a known applied shear shear stress. You can't find shear modulus for the material, but you can find elastic modulus (200 GPa) and Poisson's ratio (0.3). Which of the following could you use as the shear modulus for your calculations? 200 GPa O 60 GPa O 77 GPa O 154 GPa

! How to compute the strain displacement matrix for each element?

Question 1 The wedge shaped bar shown in Figure Q1 is to be analysed using a single one dimensional quadratic element as shown. The bar has a rectangular cross section with a constant width and a linearly varying depth. 500 k = 10E 2 100 3 Figure Q1. +1] a) Calculate the strain shape function matrix, [B], for the element. b) Using the strain shape function matrix derived in (a), show that the stiffness matrix for the element is given by the equation: I 255+ ALL DIMENSIONS IN mm (3-5) d h 100- with units of N/mm Where: E = Young's modulus of the material 10 c) Show how the strain shape function matrix may be used to determine the stress from the nodal displacement for this type of element. Do not attempt to calculate the stress. LEGION Question 2 Figure Q2 shows a two-dimensional quadratic element that has been distorted such that one Q Search

Q1

1.40 Given a major principal strain of 600µ and strain invariants I, = 400µ and I, = - 4800µ, find the remaining principal strains. Find, in magnitude and direction, the octahedral normal and shear strains. Answer: (1u = 1 x 10 ) 200p.- 400u. 133µ, 822u

Please answer in proper units