Homework Answers
Add Answer to:
1). It is found that the displacements in a component are described by x} + v(x*...
The displacement field in a steel machine component (Young’s modulus, E = 210 GPa and Poisson’s...
The displacement field in a steel machine component (Young’s modulus, E = 210 GPa and Poisson’s ratio, ? = 0.33) is given (in metres) by the following expressions: ux = c(x2 + ?) + 2c uy = 2cx2 − cy uz = c? + 5c? where c = 10−4. For a point (x, y, z) positioned at (1, 1, 1) calculate a) The strain components; [4 marks] b) The stress components and sketch a stress element showing how they act;...
3). The stress tensor at a critical point of a structure from an FEA is (120...
3). The stress tensor at a critical point of a structure from an FEA is (120 0 0 0 = 0 -500 0 MPa 0 0 -300 What is the maximum shear stress value at that point? Assume that the structure is made from a brittle grey cast iron. Experimental tests found that the tensile strength for the material is 152 MPa and the compressive strength is 572 MPa. Applying Mohr's criterion for brittle materials, will the structure be safe?...
Q1. [15 Marks] The stress field in a thin flat structural member can be described by...
Q1. [15 Marks] The stress field in a thin flat structural member can be described by the following equations: Ox 20x + 30xy2 + 20y Oy = 30x2 – 50xy + 20 Txy = 20x – 100y? 02 = Txz = Tyz = 0 where (x, y, z) are in metres and the stress components are in MPa. a) Determine the body forces required to support the structural member in equilibrium; [2 marks] b) Draw a 2D stress element at...
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 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...
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...
Given v (678) = U (,1;8%)*(x",0)de where U (,t;a") = ( 217 )* <im(8=e")°/2nt and 1...
Given v (678) = U (,1;8%)*(x",0)de where U (,t;a") = ( 217 )* <im(8=e")°/2nt and 1 V (X",0) = - wie poz' /ħe-x'2/242 (TA)1/4 e’Poz' /H Using Gaussian integrals, show that 1 1/2 -2ħt) 1+ m2 1 6 1410) Lada cara no 15. (24) (-P0t/m)2 Ų (x, t) = eimr/2ht , "ofcas. 771/2 m
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic...
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic elastic bar element can be written as follows: ū(x) = [N]{u} where, [N] = [N1 N2 N3] and {u} u2 13 1 and Ni L2 L2 [N] and {u} are known as interpolation function matrix and nodal displacement, respectively. (272 – 3L + L´), N= = (22- La), Ns = 12 (2=– LE) Derive the expression for element stiffness matrix, (Kelem) and element force...
Problem 1 (50 points) A countershaft carrying two V-belt pulleys is shown in the figure. Pulley...
Problem 1 (50 points) A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. 230 mm F: 30-mm dia. 280 mm 300 mm 250-mm dia. 400-mm dia 1000 N 150 N...
3). The stress tensor at a critical point of a structure from an FEA is (120 0 0 0 = 0 -500 0 MPa 0 0 -300 What is the maximum shear stress value at that point? Assume that the structure is made from a brittle grey cast iron. Experimental tests found that the tensile strength for the material is 152 MPa and the compressive strength is 572 MPa. Applying Mohr's criterion for brittle materials, will the structure be safe?...
Q1. [15 Marks] The stress field in a thin flat structural member can be described by the following equations: Ox 20x + 30xy2 + 20y Oy = 30x2 – 50xy + 20 Txy = 20x – 100y? 02 = Txz = Tyz = 0 where (x, y, z) are in metres and the stress components are in MPa. a) Determine the body forces required to support the structural member in equilibrium; [2 marks] b) Draw a 2D stress element at...
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 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...
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...
Given v (678) = U (,1;8%)*(x",0)de where U (,t;a") = ( 217 )* <im(8=e")°/2nt and 1 V (X",0) = - wie poz' /ħe-x'2/242 (TA)1/4 e’Poz' /H Using Gaussian integrals, show that 1 1/2 -2ħt) 1+ m2 1 6 1410) Lada cara no 15. (24) (-P0t/m)2 Ų (x, t) = eimr/2ht , "ofcas. 771/2 m
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic elastic bar element can be written as follows: ū(x) = [N]{u} where, [N] = [N1 N2 N3] and {u} u2 13 1 and Ni L2 L2 [N] and {u} are known as interpolation function matrix and nodal displacement, respectively. (272 – 3L + L´), N= = (22- La), Ns = 12 (2=– LE) Derive the expression for element stiffness matrix, (Kelem) and element force...
Problem 1 (50 points) A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. 230 mm F: 30-mm dia. 280 mm 300 mm 250-mm dia. 400-mm dia 1000 N 150 N...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago