The horizantal cantilever rigid beam AB has no mass and it is supported by an elastic rod at point C. The modulus of elasticity of the BC rod is E=200 GPa with cross-sectional area of A=200 mm2 . Calculate the magnitude of the distributed load q acting on the system so that the BC rod can be elongated by 2 mm.

A vertical load P is applied at the center B of the upper section of a homogeneous frustum of a circular cone of length L, minimum radius rB, and maximum radius rA, as shown in the figure below. It is made of a material with a modulus of elasticity E. Neglect the effect of its weight. Use the following values: rA = 2 in, rB = 0.5 in, L = 3 ft, E = 30 (103 ) ksi, and P = 1800 lbf. Discretize the original geometry into three equal-length finite elements and (a) Compute all the nodal displacements. (b) Compute all the element axial stresses. (c) Plot the displacement field from the finite element method solution. (d) Plot the axial stress field from the finite element method solution.

Problem Statement Based on Problem 5-11 from the textbook. Determine the reactions at the supports. W=3.9kN/m a=2.3m b=5.0m Theta 30 degrees a W B

For the suspended load F = 637lb in the figure. Find the magnitude of the reaction of the patella at O.

The structure in Figure Q4 is made of two members, AB and BC, both made of metal with a Young's Modulus E = 110.41 GPa. Member AB has a rectangular cross-section, whose sides measure a = 35 mm, and b = 81 mm.        Figure Q4   Calculate the Second Moment of Area of member AB with respect to its strongest orientation. Use π = 3.14159 in your calculations if needed. Express your answer in the unit: mm4.  Report your answer to 2 decimal places.