Derive the equation of the resonance frequency of the uniform cantilever beam shown below by using method of conservation ofenergy. [Solution tips: Umax, maximum strain energy is equal to max. kinetic energy of vibrating body.] M(x)* T. y'm dx U = max EI 112

Q: 1. Given stress on an element as shown. a) Using both Analytical method and Graphical method…

A: a) Analytical Method i) σ1 , σ3 σx = - 75 MPa σy = 40 MPa τxy = 20 MPa σ1,3=σx + σy2 ± (σx - σy2)2 +…

Q: A truss is subjected to different force combinations as shown in the figure below. The…

A: Here we need to find deformation in both the direction i.e. in x and y directions of point C. For…

Q: 3. The plane stress is shown on the element. Use Mohr's circle. 1) Determine the principal stresses…

A:

Q: 1. The state of plane stress at a point is represented on the element shown in the figure below.…

A: Given data  Normal stresses Angle of transformation

Q: The value of W that results in the collapse of the beam shown in the adjoining figure and having a…

A:

Q: A beam fixed at both the ends is subjected to a uniformly distributed load '' on its right half…

A: Beam: Fixed at both ends.Load: Uniformly distributed load (UDL) on the right half of the…

Q: Transformations (strain) Q43 A strain guage rosette is placed on the outside surface of a loaded…

A: Given data  εx = 578 microstrain  ( at θ = 0°) εy = 947 microstrain ( at θ = 90° )  εx' = 57…

Q: Q-2-dimensional fluid elements is subjected to hydrostatic pressure 20 MPa. The maximum shear stress…

A: 2-dimensional fluid elements- Hydrostatic pressure P=20 MPa, Maximum shear stress=?

Q: The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation…

A: displacement amplitude u0 or (X0) = 15 cm and u1 or (X1)  = 0.06 cmAt frequency at w = wn and w =…

Q: 1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the…

A: Solution: Spring force is given by; →F=-kx          ⋯⋯⋯⋯⋯⋯(1)   -kx=ma         ⋯⋯⋯⋯⋯⋯(2)   ma+kx=0…

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.