One of the basic assumptions in Greenwood-Williamson model is thatasperity summits have a constant radius. Consider that asperity summitshave variable radius and the radius (R) depends on the height of asperity(z) as given by: R(z)-Ro exp(-kz). With this, derive the expressions for loadand contact area for elastic-plastic contact of two Gaussian rough surfaces.

The Greenwood-Williamson model is a mathematical model used to describe the contact between two…

Answered: One of the basic assumptions in…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q 5(b) Given the Cauchy strain tensor below where 1 = 1.6, calculate the following: (i) First strain invariant (ii) Second strain invariant (iii) Third strain invariant. C =
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
The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a homogeneous material. The length (L) of the rod is 1.75 m and Young’s Modulus for the material (E) is 250 GPa. When the rod is placed under tension it experiences deformation and a stress (?) of 650 MPa. Calculate the following:(1) Strain energy (U) to 2 decimal places in Joules.(2) Strain energy per unit volume (U/V) in J/m3(3) The change in length ∆L to 2 decimal places in mm.(4) The strain (?) due to deformation to 2 significant figures. (show all work)
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Two spheres are pressed against each other by an external force. The diameter of the spheres are 20 nm and 30 nm. The elastic constants are Esphere, 1 Esphere,2 =150 GPa and Poison ratio are Vsphere-1 Vs 2= 0.3. Determine the geometrical factor using sphere-2 DMT model.
A normal-weight concrete masonry unit is 40cm by 20cm by 15cm thk. A wall made up of this material, fully grouted and plastered, is supported by a beam. The wall dimension is (H x L) 3m by 5m. The plaster thickness on both wall faces is 15mm. The density of the unit is 21.2 kN/m³, while the density of the grout is 22 kN/m³. Determine the conservative superimposed dead load on the beam in kN/m. Use two decimal places.
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