Question: Figure 2 shows a uniform 3-node straight bar element having length L, cross-sectional area A, and mass density p. Total element mass is therefore

Figure 2 shows a uniform 3-node straight bar element having length L, cross-sectional area A, and mass density p. Total element mass is therefore

Figure 2 shows a uniform 3-node straight bar element having length L, cross-sectional area A, and mass density p. Total element mass is therefore m= pAL. Derive the consistent mass matrix corresponding to the nodal degrees of freedom {d}. u X,U U 15 L Figure 2 Uz U {d} = {U 113

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Caspian Sea Drinks is considering buying the J-Mix 2000. It will allow them to make and sell more product. The machine cost $1.81 million and create incremental cash flows of $565,250.00 each year...

A candidate drug requires an $18 million investment for phase II clinical trials. If the trials are successful (44% probability), the company will learn the drug's scope of use and update its...

1. A random sample of n = 850 college students was surveyed, and 114 students in the sample indicated that they plan to spend part of their Spring Break working on course assignments. This means the...

A copper-zinc alloy has the following properties: Grain diameter (mm) Strength (MPa) 0.015 .................................. 170 MPa 0.025 .................................. 158 MPa 0.035...

Look at Figure 23.9, which shows the possible future payoffs in June 2016 from a particular package of investments in Alphabet options. This package of investments is called a "butterfly" by option...

Write a program that reads in two floating-point numbers and tests whether they are the same up to two decimal places. Here are two sample runs. Enter two floating-point numbers: 2.0 1.99998 They are...

What is the likelihood function for a logistic regression model?

Kase Company can invest in each of three cheese-making projects: C1, C2, and C3. Each project requires an initial investment of $190,000 and would yield the following annual cash flows. (1) Assuming...

The Bartonia Company manufactures grommets in Georgia and sell them directly to industrial customers in Georgia, Florida, and South Carolina. The companys profit for last year was $20,000,000. The...

An earthwork contractor is considering to purchase a new excavator which will cost $130,000 including tax and transportation expenses. Answer the following questions about depreciation. Note: GDS...

3. Chelsea Clinic's projected budget information for 2020 is listed below. plant and equipment) $500,000.00 Based on this information, calculate the total variable costs

a). The following information was extracted from the stores ledger of Alpha Limited during the month of March 2022 Opening inventory 4000 units valued at shs. 160,000 Receipts March 5 5,000 units @...

What values can be held related to leadership and what informs them?

iid Estimating variance for normal data. Suppose that we observe data X1, ..., Xn N(0, v) we know the mean is 0, but we don't know the variance v. (We are writing variance = v, instead of , to make...

Four small spheres, each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by light rods a)Find the moment of inertia of the system about...

In the class, we leamt the capital recovery factor (CRF) that is given as i(1+i)n (1+i)n - 1 where i the interest rate and n is the number of annuities received. CRF 4a) (10pts) Given i, find the...

Case Study Synopsis: The Millbridge Recreation Department has come under intense scrutiny. First, there were concerns because revenues for the year fell short of predictions. Then town residents...

Let (x) = x 2 - 9, g(x) = 2x, and h(x) = x - 3. Find each of the following. (((--) 2

A steel wire AB is stretched between rigid supports (see figure). The initial prestress in the wire is 42 MPa when the temperature is 20°C. (a) What is the stress Ï in the wire when the...

(x = - 29.5 MPa, (y = 29.5 MPa, Txy = 27 MPa Using Mohr's circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches...

Solve the preceding problem if the diameter is 500 mm, the pressure is 18 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2.5, the modulus...

What are the circumstances under which a subsidiary could, and perhaps should, be excluded from consolidation?

Palmerstown Company established a subsidiary in a foreign country on January 1, Year 1, by investing 8,000,000 pounds when the exchange rate was $1.00/pound. Palmerstown negotiated a bank loan of...

What are the major differences in the calculation of income between the historical cost (HC) model and the current cost (CC) model of accounting?