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QUESTION 2 21 Finite elements can appear in many forms such as two-dimensional and three- dimensional domains Give two...
Q1 An elastic cantilever beam of varying cross section, as shown in Figure Q1(a), is subjected...
Q1 An elastic cantilever beam of varying cross section, as shown in Figure Q1(a), is subjected to an increase in temperature of 60°C in an unnatural environment. The equation governing the displacement of the elastic column and the finite element stiffness matrix are respectively given as -O and ΑΕ) - where A is the cross sectional area of the beam, E is the Young's modulus of the beam material, u is the displacement and / is the finite element length....
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffnes...
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cro...
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cross-section; b) the maximum value of torsional shear stress (in N/mm2) present at any point within c) (6 marks) (6 marks) the beam, and state clearly where this occurs; the vertical deflection (in mm) of the centroid of the cross-section at the free end of the beam; (6 marks) d) the total vertical deflection (in mm) of the point A located at the outside edge of...
need to solve the mathematical model to prove that we can get the equations i Q1...
need to solve the mathematical model to prove
that we can get the equations i Q1 a methematically
please use only the weighted resedual and gerkins
methods to prove it
1. A metal bar of length, L = 100 mm, and a constant cross-sectional area of A = 10 mm? is shown in figure Q1. The bar material has an elastic modulus, E = 200,000 N/mm2 with an applied load P at one end. The governing equation for elastostatic problems...
Compute the stiffness matrices of elements 1 and 2 of the two-triangle element model of the rectangular plate in plane stress shown below.
: Compute the stiffness matrices of elements 1 and 2 of the two-triangle element model of the rectangular plate in plane stress shown below. Then use them to compute the global stiffness matrix of the rectangular plate. Where b = 40 in., h = 20 in., thickness = 1 in., Poisson's ration=0.3, and E = 30 x 10 psi. 4 3 0 h 2 b
I have a question during my Tensile Test of Sturctural Steel. Ive collected all the data, can you calculate the Elastic...
I have a question during my Tensile Test of Sturctural
Steel.
Ive collected all the data, can you calculate the Elastic
Modulus and referring to the stress strain curve of your samples ,
discuss and compare the results, specify the similarities and
differences if there is any and provide possible reasons.
Thanks
Date of Lab Mark (for tutor only) 1. General information of the sample: Web sample or flange sample? web Specimen dimension (Before Testing) Width, mm Gauge length, mm...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure,...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure, the following strains were established from the measurements taken:£x = 75x10", Eyy =-115x10-6 = 210 10-6 and Yxy yy (i) Determine the corresponding normal stresses Ox and and shear stress txy. For mild steel, use Young's modulus E= 205 GPa , Poisson's ratio v=0.3 and shear modulus G = 78.8 GPa. [6 marks] (ii) Using the values obtained in (i), determine the principal stresses...
need solution for milestones A Q1 Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
Question 1 An end capped cylindrical pressure vessel with internal pressure p = fully supported at...
Question 1 An end capped cylindrical pressure vessel with internal pressure p = fully supported at one end, is also subjected to a force F= 10 kN in the y direction at the other end as shown. The internal diameter of the pressure vessel is d= 160 mm and its thickness is t= 10 mm 3 MPa, assumed to be Determine the magnitudes of the stress components in x, y and z coordinates at points H and K and sketch...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in a rotating-cantilever beam fatigue test. If you need to choose one of these metals so that you can essentially design a part made of that metal, and subject the part to a repetitive stress-amplitude without ever failing due to fatigue, which one would you choose. (See the attached figure) Q-2. What is the fatigue strength for the 1045 steel alloy, if you expect to...
Q1 An elastic cantilever beam of varying cross section, as shown in Figure Q1(a), is subjected to an increase in temperature of 60°C in an unnatural environment. The equation governing the displacement of the elastic column and the finite element stiffness matrix are respectively given as -O and ΑΕ) - where A is the cross sectional area of the beam, E is the Young's modulus of the beam material, u is the displacement and / is the finite element length....
Figure 3b() shows a step beam with different moment of inertia in member 1 and 2. Assemble the structure stiffness matrix, Ke. Then, calculate the reactions at both supports by using matrik stifness method. Assuming the elastic modulus of beam, E 200 GPa. 150 kN 3 5m 2 10 m 1 = 500 x 106 mm4 I = 250 x 106 mm 4 Rajah 3b(@)/Figure 3b() Given: Stiffness relations for a beam element 12 6 12 6 z12 12 6...
Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cross-section; b) the maximum value of torsional shear stress (in N/mm2) present at any point within c) (6 marks) (6 marks) the beam, and state clearly where this occurs; the vertical deflection (in mm) of the centroid of the cross-section at the free end of the beam; (6 marks) d) the total vertical deflection (in mm) of the point A located at the outside edge of...
need to solve the mathematical model to prove
that we can get the equations i Q1 a methematically
please use only the weighted resedual and gerkins
methods to prove it
1. A metal bar of length, L = 100 mm, and a constant cross-sectional area of A = 10 mm? is shown in figure Q1. The bar material has an elastic modulus, E = 200,000 N/mm2 with an applied load P at one end. The governing equation for elastostatic problems...
I have a question during my Tensile Test of Sturctural
Steel.
Ive collected all the data, can you calculate the Elastic
Modulus and referring to the stress strain curve of your samples ,
discuss and compare the results, specify the similarities and
differences if there is any and provide possible reasons.
Thanks
Date of Lab Mark (for tutor only) 1. General information of the sample: Web sample or flange sample? web Specimen dimension (Before Testing) Width, mm Gauge length, mm...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure, the following strains were established from the measurements taken:£x = 75x10", Eyy =-115x10-6 = 210 10-6 and Yxy yy (i) Determine the corresponding normal stresses Ox and and shear stress txy. For mild steel, use Young's modulus E= 205 GPa , Poisson's ratio v=0.3 and shear modulus G = 78.8 GPa. [6 marks] (ii) Using the values obtained in (i), determine the principal stresses...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
Question 1 An end capped cylindrical pressure vessel with internal pressure p = fully supported at one end, is also subjected to a force F= 10 kN in the y direction at the other end as shown. The internal diameter of the pressure vessel is d= 160 mm and its thickness is t= 10 mm 3 MPa, assumed to be Determine the magnitudes of the stress components in x, y and z coordinates at points H and K and sketch...
Q-1. You are testing a circular beam of two metals, 1045 steel and 2014-T6 aluminum, in a rotating-cantilever beam fatigue test. If you need to choose one of these metals so that you can essentially design a part made of that metal, and subject the part to a repetitive stress-amplitude without ever failing due to fatigue, which one would you choose. (See the attached figure) Q-2. What is the fatigue strength for the 1045 steel alloy, if you expect to...
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Please help me with FLOWCHART and UML diagram for class,
thank you!
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