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4. The formula for axial displacement of a bar we developed for trusses EA is only...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
To solve for forces in statically indeterminate bars with axial loads.
To solve for forces in statically indeterminate bars with axial loads.When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (i.e.) continuity of displacements and relationships between displacements and loads).For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the...
Using the following example to come up with a formula for displacement for a sphere instead...
Using the following example to come up with a formula for
displacement for a sphere instead of a cone.
I am having a hard time coming up with an expression for A(y)
(circle in red). Can someone please show with steps how to come up
with an expression for A(y) so that I can solve for displacement
similar to the provided example. Thank you
-0.3 m A member is made of a material that has a specific weight of y...
A long steel bar (length L-100 m, elastic modulus E = 2x 1011 N/m2, density ρ...
A long steel bar (length L-100 m, elastic modulus E = 2x 1011 N/m2, density ρ 7850 kgm3) of unit cross section is held at one end while hanging freely inside a deep pit and you are asked to estimate the longitudinal stress and displacement along the length of the bar Assuming linear elastic behavior, the internal elastic energy U of the hanging bar is given by the expression where z is the distance from the top of the pit...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
roblem 5: When can we neglect axial conduction? Consider steady, fully developed, laminar flow inside a...
roblem 5: When can we neglect axial conduction? Consider steady, fully developed, laminar flow inside a round tube, with the energy equation: The two terms on the right hand side represent conduction effects in the radial and axial directions, respectively. In convection analysis we usually neglect the axial conduction term, resulting in Eq. 8.48. Let's investigate the suitability of this approximation, by comparing the relative magnitudes of those two terms for a tube flow with constant wall temperature The full...
PLEASE SHOW ALL WORK. THANKS. III, SIMPLE HARMONIC HECK (30 pts: 10 pts each piece), The...
PLEASE SHOW ALL WORK. THANKS.
III, SIMPLE HARMONIC HECK (30 pts: 10 pts each piece), The statements immediately to follow (even when long and complicated) are considered in this context) GIVEN You may assume and rely on them for the problem/proof to follow a bit further down. Note: In some cases, "GIVEN' might mean 'self-evident' or 'obvious', but in other cases, it might not. GIVEN might not mean "obvious"; it can simply mean 'somehow established prior to this discussion'. GIVEN...
4. Matlab Solvers: A Case Study in Mechanics Suppose we have two objects orbiting in space,...
4. Matlab Solvers: A Case Study in Mechanics Suppose we have two objects orbiting in space, with masses 1 - and , rotating around each other. For example, think of the earth and the moon, where the moon moves around the earth at distance 1. (Of course, here both the masses and the distance are normalized.) A third object, which is relatively much smaller and does not affect the motion of the first two, is also orbiting in space. Think...
MATLAB Create a function that provides a definite integration using Simpson's Rule Problem Summar This example demo...
MATLAB Create a function that provides a definite integration
using Simpson's Rule
Problem Summar This example demonstrates using instructor-provided and randomized inputs to assess a function problem. Custom numerical tolerances are used to assess the output. Simpson's Rule approximates the definite integral of a function f(x) on the interval a,a according to the following formula + f (ati) This approximation is in general more accurate than the trapezoidal rule, which itself is more accurate than the leftright-hand rules. The increased...
please answer all prelab questions, 1-4. This is the prelab manual, just in case you need...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
2) (30 points) The 2-segment bar shown below is loaded by an axial force f(x) and is fixed at both ends. Develop the finite element model of the bar using two linear elements. Note that the 3 nodes are shown and labeled. Use the following data: Ej = E2 = 200 GPa Aj = 0.01 m² A2 = 0.005 m² Li = L2 = 1 m f(x) = 3e7.x N/m HX f(x) - - 1 E1, A1,47 - - 2...
Using the following example to come up with a formula for
displacement for a sphere instead of a cone.
I am having a hard time coming up with an expression for A(y)
(circle in red). Can someone please show with steps how to come up
with an expression for A(y) so that I can solve for displacement
similar to the provided example. Thank you
-0.3 m A member is made of a material that has a specific weight of y...
A long steel bar (length L-100 m, elastic modulus E = 2x 1011 N/m2, density ρ 7850 kgm3) of unit cross section is held at one end while hanging freely inside a deep pit and you are asked to estimate the longitudinal stress and displacement along the length of the bar Assuming linear elastic behavior, the internal elastic energy U of the hanging bar is given by the expression where z is the distance from the top of the pit...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
roblem 5: When can we neglect axial conduction? Consider steady, fully developed, laminar flow inside a round tube, with the energy equation: The two terms on the right hand side represent conduction effects in the radial and axial directions, respectively. In convection analysis we usually neglect the axial conduction term, resulting in Eq. 8.48. Let's investigate the suitability of this approximation, by comparing the relative magnitudes of those two terms for a tube flow with constant wall temperature The full...
PLEASE SHOW ALL WORK. THANKS.
III, SIMPLE HARMONIC HECK (30 pts: 10 pts each piece), The statements immediately to follow (even when long and complicated) are considered in this context) GIVEN You may assume and rely on them for the problem/proof to follow a bit further down. Note: In some cases, "GIVEN' might mean 'self-evident' or 'obvious', but in other cases, it might not. GIVEN might not mean "obvious"; it can simply mean 'somehow established prior to this discussion'. GIVEN...
4. Matlab Solvers: A Case Study in Mechanics Suppose we have two objects orbiting in space, with masses 1 - and , rotating around each other. For example, think of the earth and the moon, where the moon moves around the earth at distance 1. (Of course, here both the masses and the distance are normalized.) A third object, which is relatively much smaller and does not affect the motion of the first two, is also orbiting in space. Think...
MATLAB Create a function that provides a definite integration
using Simpson's Rule
Problem Summar This example demonstrates using instructor-provided and randomized inputs to assess a function problem. Custom numerical tolerances are used to assess the output. Simpson's Rule approximates the definite integral of a function f(x) on the interval a,a according to the following formula + f (ati) This approximation is in general more accurate than the trapezoidal rule, which itself is more accurate than the leftright-hand rules. The increased...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
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