A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight h that are constant along the length of the beam L. The beam material's Young's modulus is Q. AY A |- B X Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate o the value of the reaction forces at points A and B o the absolute value of the reaction bending moment at point A

The motor compartment rail must meet the package constraints imposed by the suspension and powertrain. These constraints often force nonsymmetrical loading and section shape. For the illustrations shown in a and b determine the deflection at the tip of the beam and maximum direct stress and location for a 2000-N load. 40 x 80 x 1.5 mm 1 m Engine (a) Load application at centroid 2 |15° Section rotated 15°. Load application point through centroid of section (b) Engine

Problem 1: (Please solve parts A and B of problem) A) A uniformly distributed load is subjected on the clamped-clamped beam and it is supported by a spring in the middle of the beam. Using Castigliano’s theorem, find the deflection in the spring. (Please use only Castigliano’s theorem to solve this part)   B) Remove the spring in part A and use the Rayleigh-Ritz method to solve for the deflection at the middle of the beam. Assume that v(x) = C (1- Cos((2Pi*x)/L)) (Please use only Rayleigh-Ritz method for this part)

A) Calculate the stress in each link when a force of 600 lbs is applied to the rigid element AF, employing manual calculations and finite element methods. B) Determine the corresponding deflection at point A, manually applying the finite element penalty method to model and solve the constraints effectively. Available Data: The links BC and DE are made of steel. Each link has dimensions of 1/2 inch in width and 1/4 inch in thickness. Modulus of elasticity (E): 29 x 10^6 psi. Instructions: For this problem, manual calculation is crucial. Utilize the finite element method with the penalty approach to handle boundary conditions and constraints effectively. This method involves incorporating penalty factors into the system equations to enforce the constraints strictly.

Please help with this questions parts A and B. :))

Please use sigularity function to estimate the maximum deflection at the point of applying load P

A D В C__0 L L· For the following beam, a) Use the method of superposition to determine the reactions at the supports B and C. (El is constant) b) Find the rotation at D. L=1.25mm W=2.5kN/m

In the position shown in figure shown, the block of mass 100 kg just contacts the free end of the spring with constant k-6000N/m (a) If the block is released instantaneously with zero initial velocity, find the m lection of the spring (b) Find the max deflection, if the block is very gradually lowered onto spring. 100kg Free end ANS: a.)|| m b.) m (two decimal places)

Determine the reactions present at the pin A and roller B required for equilibrium of the beam. (Final Answers – signs depend on FBD: Ay = 2230 N, Ax = 0, B = 2170N

Pin-joint construction supports point loads as shown below: P Al ΕΙ C B 2/3 L 1/3 L a) Find the equation for the deflection of the bar at point B! b) Determine the equation for the moment that occurs at point A!