For the rod (bar) loaded axially as shown below, determine the axial displacements at the free end and the middle of the rod. Let A=0.8 m², L=50 m, E=20×106 kN/m². Use (i) one element

Read the question carefully and give me complete right solution according to the question. Don't miss anything.

Determine the vertical displacement of joint A. The cross-sectional area of each member is indicated in the figure. Assume the members are pin connected at their end points. E =29 (10)3 ksi. 2 in 2 in? 2 in? 3 in 3 in 4 ft B 100 3 in? 3 in 4 ft 4 ft 7k 3k

Find the solution of the given DE. Linear or Bernoulli

4. The rigid bar AB is supported by two rods as shown and is horizontal before the load P is applied. Determine the vertical displacement of point which is 2 meters from the left support caused by the load P = 68 kN. Neglect the weight of the bar and the rods. Aluminum L= 3 m A = 300 mm? E= 70 GPa Steel L=4 m A= 500 mm? E= 200 GPa 3.5 m 2.5 m

PROBLEM2: The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation frequencies. At w=wn, up = 15 cm; at w=5w, u, = 0.06 cm. Estimate the damping ratio of the system. @= PROBLEM3: Find the response of the rigid bar shown in Figure 2 when the end P of the spring PQ is subjected to the displacement, x(t) = xoSin10t. Data: k 500, 1 = 1 m, m = 10 kg, xo = 1 cm. N = m 00000 Uniform bar, mass m - Li+ Figure 2-Rigid bar undergoing rotational motion

For the flow of a thin layer of liquid down an inclined plane shown: a. Using the cross-hatched element and through a force balance, show that the velocity distribution across the layer is: ?=? ??? ?? ? ( ??− ?? ) b. Derive an expression for the liquid velocity at the free surface. c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall.

Question 3 T/2 A 1200 Nm A homogeneous steel shaft (G=83GPA) loaded as shown in the above Figure. Assuming T = 300 N-m, determine the torsional force in N-m in Member AB. Note: Include sign (+/-), assuming the direction of Torsion (T) at D is positive Given: AB: Length = 1.75m, Diameter = 75mm BC: Length = 1.50m, Diameter = 60mm AB: Length = 1.00m, Diameter = 40mm

Determine the equivalent state of stress if an element is oriented 50° counterclockwise to the element. Show the result on the element. Solve using Mohr's circle.

b. A truss bridge has a concentrated load as shown below. As an Engineer use the principle of virtual work to find the vertical displacement at the node C. Take E = 200 GPa and A=400 mm2 6 kN 4 m В 5 m 4 m