Derive the stiffness matrix for a beam element with a nodal linkagethat is, the shear is 0

Question:

Derive the stiffness matrix for a beam element with a nodal linkage€”that is, the shear is 0 at node i, but the usual shear and moment resistance are present at node j (see following figure).

m; m, L. f, = 0

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course in the Finite Element Method

ISBN: 978-0495668251

5th edition

Authors: Daryl L. Logan

See More Books

Question Posted: Sep 14, 2018 11:16 AM

See More Questions

Derive the stiffness matrix for the non-prismatic bar shown in Figure P3-53 using the principle of minimum potential energy. Let E be constant. Figure P3-53 A(x) = A, + Ao %3D
Derive the stiffness matrix for the nonprismatic torsion bar shown in Figure P5-46. The radius of the shaft is given by r = r0 + (x /L)r0, where r0 is the radius at x = 0. ro I 7- L-
Resistor type elements are often used in electrical circuits. Consider the typical resistor element shown in Figure P2-23 with nodes 1 and 2. One form of Ohm's law says that the potential voltage...
Define change management and its significance in organizations. Discuss the challenges faced during the process of organizational change and strategies to overcome resistance.
For more than 20 years, the Fed has used the federal funds rate as its monetary policy target. Why doesn't the Fed target the money supply at the same time?
Outdoor Life manufactures snowboards. Its cost of making 2,000 bindings is as follows: Direct materials ..............$ 17,550 Direct labor ..............3,400 Variable overhead............ 2,040...
A mixture of $\mathrm{H}_{2}$ and $\mathrm{D}_{2}$ is contained in two bulbs connected by a porous plug. The bulbs are maintained at different temperatures of 200 and $600 \mathrm{~K}$. The...
Sea Star Company manufactures diving masks with a variable cost of $12.50. The masks sell for $ 17.00. Budgeted fixed manufacturing overhead for the most recent year was $396,000. Actual production...
Write a Java application that will request a user to enter a sentence, after which it will perform the following operations on the sentence: . Firstly, it will split the sentence into individual...
100 trials are run for a Poisson process. If the probability of a success is 0.02, what are the mean number of successes and the standard deviation? What is the probability distribution for the...
A superheterodyne receiver uses an IF frequency of 455 kHz. The receiver is tuned to a transmitter having a carrier frequency of 1100 kHz. Give two permissible frequencies of the local oscillator and...
A mixer is used in a short-wave superheterodyne receiver. The receiver is designed to receive transmitted signals between 10 and 30 MHz. High-side tuning is to be used. Determine an acceptable IF...
For the circuit in Fig. 7.88, if v = 10e 4t V and i = 0.2e 4t A, t > 0 (a) Find R and C. (b) Determine the time constant. (c) Calculate the initial energy in the capacitor. (d) -Obtain the time it...
Name the move or moves that will return the Rubik's cube to standard position after making the move shown in Problems 38-51. $F B^{-1}$
Find the number of different arrangements for the Instant Insanity blocks.
Instant Insanity has 331,776 possibilities (not all different). If you could make one different move per second, how long do you think it would take you to go through all these arrangements? Estimate...
Does the move $L^{-1} R^{-1}$ reverse the move $L R$ ? Would it also reverse the move $R L$ ? Why or why not?
Create a grayscale image consisting of an 8 8 grid with a vertical black line in the first column. Compress into JPEG format and decompress. How far off are the resultant bytes at the default...
ANOVA for difference in means for 100 people separated into six groups with F-statistic = 2.51 A test statistic for one of the tests in this unit is given, along with information about sample size(s)...
Figure displays a 12.0 V battery 3 four uncharged capacitors of capacitances C1 = 4.00F, C2 = 6.00F, and C3 = 3.00F. The switch is thrown to the left side until capacitor 1 is fully charged. Then the...
Consider the following displacement function for the two-noded bar element: u = + bx2 Is this a valid displacement function? Discuss why or why not.
For each of the bar elements shown in Figure P3-15, evaluate the global x - y stiffness matrix. Figure P3-15 (a) (b)
For the bar elements shown in Figure P3-16, the global displacement have been determined to be u1 = 0.5 in., v1 = 0.0, u2 = 0.25 in., and v2 = 0.75 in. Determine the local x' displacements at each...
Suppose the correlation between the stock euro returns of Siemens and the USD/EUR exchange rate is 0.2. The standard deviation of the USD/EUR is 10% and the standard deviation of Siemens's stock euro...
list and describe the three key client-related factors that the advisor is required to consider when developing a "suitable" investment portfolio for their client. Please cite resources used
Year 1 2 3 Amount ($) 2000 3000 4000 An investment made today will pays you the above cash flows at the end of each year. If your required rate of return is 5% annual interest, how much will you pay...

Derive the stiffness matrix for a beam element with a nodal linkagethat is, the shear is 0

Question:

m; m, L. f, = 0

Step by Step Answer:

From equation EI cons...View the full answer

A First Course in the Finite Element Method

Students also viewed these Physics questions