Question: a. Assemble the stiffness matrix for the assemblage shown in Figure P3-19 by super-imposing the stiffness matrices of the springs. Here k is the stiffness

a. Assemble the stiffness matrix for the assemblage shown in Figure P3-19 by super-imposing the stiffness matrices of the springs. Here k is the stiffness of each spring.

b. Find the x and y components of deflection of node 1.

Figure P3-19

45 45 10 lb

Step by Step Solution

★★★★★

3.50 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a For element 13 q 180 o For element 14 ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1414-P-T-H-T(1289).docx

120 KBs Word File

Students Have Also Explored These Related Thermodynamics Questions!

Determine the stiffness matrix for the bar element with end nodes and mid length node shown in Figure P3-13. Let axial displacement u = Î±1 + Î±2x + Î±3x2....

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-

2 . 5 For the spring assemblage shown in Figure P 2 - 5 , obtain the global stiffness matrix by the direct stiffness method. Let k ( 1 ) = 2 0 0 N m m , k ( 2 ) = 4 0 0 N m m , k ( 3 ) = 6 0 0 N m m...

2.1 a. Obtain the global stiffness matrix [K] of the assemblage shown in Figure P2-1 by superimposing the stiffness matrices of the individual springs. Here k, k2, and k3 are the stiffnesses of the...

a. Obtain the global stiffness matrix [K] of the assemblage shown in Figure P2-1 by superimposing the stiffness matrices of the individual springs. Here k1, k2, and k3 are the stiffnesses of the...

Develop the global stiffness matrix K for uespring assemblage shown below using the fundamental concept of Nodal Force Equilibrium. Show your solution in detail along with neat sketch of the FBD of...

Problem 1: For the following problem, treat k_(1),k_(2),k_(3),F_(3),F_(4) as knowns. You must express EACH finding using the combination of k_(1),k_(2),k_(3),F_(3),F_(4) , not u_(i) or f_(i) ....

a. Compute the total stiffness matrix [K] of the assemblage shown in Figure P3-1 by superimposing the stiffness matrices of the individual bars. Note that [K] should be in terms of A1, A2, A3, E1,...

Given a one - dimensional elasticity problem a s shown i n Figure 5 . 2 0 . The bar i s constrained a t both ends esktop / Gradschool % 2 0 Textbooks / A % 2 0 First % 2 0 Course % 2 0 in % 2 0...

Select three table values from Table 14 - 1 and verify them using the formula FV = (1+ R}N 1 R

In each transaction below, assume that just prior to the disposal of the asset the depreciation has been brought up to date such that the amount of accumulated depreciation is accurate at the point...

Using the alternative Form of the Derivative In Exercises 6 9 7 6 , use the alternative form of the derivative to find the derivative at x = c , if it exists. 6 9 . f ( x ) = x 3 + 2 x 2 + 1 , c = 2...

7.32 For the normal distribution described in Exercise 7.12, what tax preparation fee would have been exceeded by 90% of the tax preparation customers?

The cooling system of a truck engine contains 20.0 L of water. (1 L of water has a mass of 1 kg.) (a) If the engine is run until 845 kJ of heat is added, what is the change in temperature of the...

A 2.50-lb piece of steel is dropped into 11.0 lb of water at 75.0F. The final temperature is 84.0F. What was the initial temperature of the steel?

Mary mixes 5.00 lb of water at 200F with 7.00 lb of water at 65.0F. Find the final temperature of the mixture.

Global Corp expects sales to grow by 9% next year. Assume that Global pays out 50% of its net income. Using the percent of sales method and the data provided forecast the stockholders equity. Income...

Help me with Part 3 and Part 4 The Data Collection: On May 18'\Part 2. (5 points) Model Evaluation. a. The model that uses all of the explanatory variables to predict monthly rents is the \"full...

Universal Travel, Inc. tom prestados $494,000 el 1 de noviembre de 2021 y firm un pagar a doce meses con un inters del 6%. El capital y los intereses son pagaderos en su totalidad al vencimiento el...