Derive the stiffness matrix for a spring.

Please show the work to understand the process. AI generated steps have been wrong.

Consider the following spring system. Assume down is the positive direction. Write the stiffness matrix A 188 Displacement www my SE (₂ • Compute the displacements caused by the external forces f with spring constants e E

How does one compute the deflection of a helical spring? Please write typed. Handwriting is difficult to understand and I have to repeat the question.

4. The space needle observation tower can be considered as a cantilever beam that is fixed at the ground (Figure 3). Find an idealized spring-mass system equation of the observation tower and determine the natural frequency. [Hints: For the study of transverse vibration, the top mass can be considered a point mass, and the supporting structure (beam) can be approximated as a spring to obtain the single-degree-of-freedom model. The transverse deflection of the beam, due to a load F is given by FL/3EI] Figure 3. Space Needle observation tower in Seattle, Washington.

Calculate the equivalent spring equation and linear spring. Theory of vibration

Use answer from first part without spring to build onto next part, thanks.

7. A spring is attached to the floor. When a 125 g mass is placed on top of the spring it compresses by 0.26 m. What is the spring constant of this spring?

2- Derive the rule-of-mixtures expression for the composite extensional modulus E₁ assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E¹. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf + vm + vi = 1 H |w²||wm|

Answered: T Blackboard @ Texas X Bb MasteringEngineering - Spring 2 × E MasteringEngineering Mastering x > (195) Find the resultant force acti X O (195) Morgan Wallen - Cover i session.masteringengineering.com/myct/itemView?assignmentProblemID=12360390 ABP G I Review Suppose that h = 4 m. (Figure 1) Part C Determine the coordinate direction angle B of the resultant force of the two forces acting on the sign at point A. Express your answer using three significant figures. B = 90 Submit Previous Answers v Correct Part D Figure 1 of 1 Determine the coordinate direction angle y of the resultant force of the two forces acting on the sign at point A. 2 m Express your answer using three significant figures. E 2 m B Hν ΑΣφ ? vec F = 350 N Fc= 400 NA F = 400 N 2 m Submit Request Answer 3 m Provide Feedback Next > 11:50 PM O Type here to search 2/7/2021