How many Gauss integration points (in one dimension, along s) will be needed to getthe exact stiffness for a four-nodded bar element? Show some details to support youranswer. EA is constant.(-1,0)(1,0)234

1. Understanding the Four-Noded Bar ElementA four-noded bar element in one dimension has nodes at…

Answered: How many Gauss integration points (in…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Civil engineering Finite Elements questions Consider the 2-noded element shown in Fig. 1 that has nodes at x = −1 andx = +1.(a) Write the shape functions N1(x) and N2(x).(b) Show that the shape functions satisfy the Kronecker delta property, i.e., Ni(x) = 1 atnode i and zero at the other node(s).(c) Show that the shape functions satisfy the ”Rigid Body mode(s)” condition, i.e., N1(x)+N2(x) = 1.(d) Show that the shape functions satisfy the ”Constant Strain state(s)” condition, i.e.,N1(x)x1 + N2(x)x2 = x.
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All stress planes pass through the Pole point under the graphical setup of Mohr's Circle. True It depends False
Consider a two-dimensional problem. The stress transformation formulae are then, in full. on on 11 12 31-[ COSA sinė Tσ, σcos - sin 12 0.7 cosσ₁ σ₂ sinė cose Multiply the right hand side out and use the fact that the stress tensor is symmetric (012 = 021 - not true for all tensors). What do you get? Look familiar? on on 21 sin 0
**DFQ** If you know statics, it helps in understanding. A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. Your results will be stated in terms of W, L, EI.You will use Laplace Transforms to solve for the beam deflection expression. Other quantities to be determined from the deflections will use derivatives. Your results will be stated in terms of W, L, EI. (Triangular shaped distributed load) A uniform beam (Constant EI) with Length = L has both ends fixed. Applied loading is a uniformly varying load, zero at the left end, W at the right end. Units of the load are pounds per foot. A) Find the expression for deflection at any point, with x measured from the left end.
Using Mohr's circle, determine the stresses acting on an oriented element An Angle Θ from the x-axis, show those stresses on an element oriented at that Angle Θ Θ = positive (+) when rotated counterclockwise Θ = negative (-) clockwise. Also determine the principal normal stresses and the maximum shear stress, and draw an element with the orientation of these. data to use σx= 33 MPa σy= - 9 MPa τxy= 29 MPa Θ=35°
2. Calculate the Jacobian matrix of the element shown below. (0,4) (0,0) (2,0) (3,2)
Need neat and clean handwritten solution of both the parts with proper explanation..if you are not capable of doing than do not attempt as you will get downvote...
1. Use the Macaulay/singularity functions to obtain a formula for the bending moment M. 2. Use this to get a formula for Elv as a function of x, including two constants of integration Cp and C2 3. Determine the values of C and C and write out Elvin terms of P, L and a. 4. If a = L/3 what is the maximum value of -Eiv/Pa?? Write it as a positive number in the box, to two decimal places. (PLEASE ANSWER ASAP AND CORRECTLY! THANK YOU)
Apply de'Moivre's theorem or otherwise to solve for Zo and C from these expressions given below: ZO-Z/Y and C=Z*Y Where: .Z is a complex number. • Y is also a complex number. • Re (Z0) >0 and Re (C) >0 Find Z0 and C when: Z=1+5j,Y=1-3j
solve this problem on the finite element method;
If you wanted to find the y-centroid of the shape below using the volume element shown, you would need to express the length Lin terms of y. O True O False

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How many Gauss integration points (in one dimension, along s) will be needed to get the exact stiffness for a four-nodded bar element? Show some details to support your answer. EA is constant. (-1,0) (1,0) 2 3 4