В 4 30 k Figure 2-35

2. Solve the following problem of bars in axial load using the finite element method, finding a) displacements at the nodes, b) reactions at supports, c) forces and stresses in each element. Consider E1=E2=E3=200GPa, A1= 20x10-4 m2, A2= 10x10-4 m2, A3= 8x10-4 m2 for the bars. F2= 40kN, F3= 50kN

There are two segments to the beam: (1) Point A to Point C, and (2) Point C to Point B. Establish a coordinate system such that x = 0 at Point A. (a) Draw a Free Body that extends from Point A for a distance x such that x1.5 m. Solve for the internal forces V(x) and M(x) as functions of x. Use the F.B. and Equations of Equilibrium to find these functions. (c) Draw a 3rd Free Body from a point x (x>1.5) to Point B. In other words draw a free body of the right hand portion of the beam. This segment should have length = 3m – x. Use this F.B. and equations of equilibrium to solve for internal force V(x) and M(x) as functions of x. Prove to yourself that the V(x) and M(x) functions found in Part II.(c) are equal to those found in Part II.(b). 8 kN/m 4 kN/m В 1.5 m 1.5 m

I'm quite confused whether we're going to consider the friction at C going to the left or going to the right since by inspection, the object has the tendency to slip to the right so we'll have friction on the opposite direction. On the other hand, we can have friction to the right since there is force P acting on member BC. How do you solve this?

2. Resolve the vector force into its components in the Figure shown. * Z 2m F=80 kN 5m 3m

Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN

In the system shown, the rigid bar ABC is subjected to a load w = 0.5 kip/in. Bars 1, 2 and 3 are made of steel and are hinged at both ends. a) State whether the system is statically determinate or indeterminate and the degree of indeterminacy. b) Determine the force in steel bars 1, 2, and 3 (indicating whether they are in tension or compression). c) Determine the displacement of point A. All steel bars have area A=1.25 in^2 L= 6 in Eac = 29×10^3 ksi

Determine the force in members BC, GA, and BG of the truss shown in the figure below. Let P = 175 kN. NOTE: If your answer is a compressive force then just put a negative sign. If your answer is a tensile force then just type the answer directly. (ALSO, DON'T FORGET THE UNITS) 2P 2P 30 60V60° 60°V60° C 30 D 3P 4m 4m 4m Solve the force in member BC. Solve the force in member GA. Solve the force in member BG.

Problem 2: For the beam given below: (a) Calculate all support reactions. (b) Draw the shear diagram. Show all important values of shear. Show the sign convention within each region. (c) Draw the moment diagram. Show all important values of moment. Show the sign conventions within each region (concavity: smiley face, sad face, etc.) (d) Sketch the deflected shape. Show supports in your sketch. For your solution, let w = 2 kips/ft and L = 20 ft. A L 22 B L W C

The beam section given in the figure is under the influence of M = 5 kN.m bending moment. Section C and B ' Calculate the normal stresses that will occur at the points. E = 200 GPa. (N-A axis weight passes through the center.)