3) For the given plate subjected to two point forces, calculate the nodal displacements and the moments at points A and B. (Note that A is the mid-point of the finite element) E = 30000 MPa h = 0.14 m v = 0.20 2 m 2 m 50 kN 2 m 50 kN A B 50 kN 50 kN 2 m 50 Cross-section along the symmetry axis

A storage rack to hold the paper roll. Find force reactions and draw the shear and moment diagrams for the mandrel that extends half of the roll. Use singularity functions for this problem. Givens stanchion paper roll Density=984 kg/m^-3 OD=1.5 m ID=0.22 m L=3.23 m Density=mass/volume So W=(density*volume)*gravity Volume of hollow cylinder= (pi/4)(OD^2-ID^2)*Length of cylinder Length of mandrel=1/2 of L=>1.615 m mandrel base Assumptions: The storage rack is acting with a fixed support With a distributed load of "w" where w is the weight distrubuted

Problem: I+12 For the given compound curve (see figure): a. Determine R, and R2. b. Determine T, and T2. c. Determine C, and C2. d. Determine L, and L2. e. If the stationing of PC is at 10 + 304.62 m, determine the stationing of PCC and PT. T+T2 РСС Pl, I = 12° I = 15° Pl2 L2 T, PC6 (Sta PC = 10 + 304.62) PT Long chord = 300m I = 15° R2 R1 'O2 I = 12° R,

Figure attached.

Plot the Shear and Bending moment diagrams for the following. Use Singularity Functions to Solve the problem y 400 lbf Hinge | A B₁ AC R₂ R₁ 4 in 4 in 2 in 40 lbf/in 10 in D R3 X