For the beams shown in below, determine the displacements and rotations of the nodes, the element forces, and the reactions. The values of E, A, and I to be used are listed next to figure. 10 kN E = 210 GPa A = | x 10-? m² 1 = 2 x 10-ª m |5 kN · m 3 m 2 3 m 10 kN 5 kN · m 45° 3 3 3 m 2.

For the forces acting on the beam shown in Figure 3.1f, determine the location of the equivalent resultant force with reference to point A in m. Given / = 2.4, P1 = 8, P2 = 8 and w = 2 %3D (Note: Prefix the answer with negative sign "." if the location is to the left of the reference point. E.g. if the location of the equivalent resultant is located between points A and B, or to the left of point B by 1.2m, the answer should be "-1.2" with reference to point B) P, kN W kN/m P, kN C 21 m 21 m Figure 3.1f

For the bar shown in the figure, determine what the value of force Fc must be for the displacement at point C to be null. For calculation purposes, consider L1 = L2 = 2 m, E = 201 GPa, A = 180 mm?, p0 = 1000N/m, FB =1000 Also obtain the expressions and plot the axial displacements u(x), the resulting normals Nx (x) and normal stresses axx(x). EA = constant Po EA-cte Fe Fc L, L2 Please resolve all items in the question.

The force of a beam is shown in the figure below. If you want to apply an additional force of MA to make the corner of point A zero, try to calculate the magnitude of the bending moment MA, and the EI of the entire beam section is constant.

2. Using the double integration method, determine the displacement at point C in the beam shown. Use E = 200 GPa. The section is given below for the moment of inertia. 8 kN 2 kN/m B 2 kN/m 4 m 4 m 100 mm 25 rmrm 100 mm 25 mm 25 mm

Determine the Moment area of B.

Rod OA rotates about O in a horizontal plane. The motion of the 0.5-lb collar B is defined by the relations r= 10 + 6 cost and 0=(4-8), where r is expressed in inches, r in seconds, and 8 in radians. Determine the radial and transverse components of the force exerted on the collar when (a)1=0, (b) t=0.5s.

A beam supported by three identical springs at points A,B,C (see figure). Given that flexural of rigidity of the beam, EI= 2.029X1011 N.mm2 ; spring constant,k = 1471.5N/mm, w=116N/mm All dimensions are in mm. 1. What is the reaction for at point A,B and C? 2. What is the deflection at point B? 3. Please draw shear-force and bending moment diagram.

For the forces acting on the beam shown in Figure 3.1h, determine the location of the equivalent resultant force with reference to point A in m. Givenl= 2.4, P1 = 45, P2 = 90, w1= 40 and w2 = 60. (Note: Prefix the value with negative sign "-" if the location is to the left of the reference point. E.g. if the location of the equivalent resultant is located between points A and B, or to the left of point B by 1.2m, the answer should be "-1.2" with reference to point B) P, kN P2 kN W, kN/m W, kN/m C Im 21 m 21 m Figure 3.1h

MECHANICS OF DEFORMABLE BODIES