end by a tie rod BC. Determine the reactions at A, and the #9-40. The beam is fixed at A and supported at its other force in the tie rod. Take E = 200 GPa, I = 55(10°) mm* %3D for the beam, and A rod is 5-m long, and neglect the thickness of the beam and its deformation due to axial force. 600 mm2 for the bar. Assume the bas 3 m 2 m 2 m 50 kN

SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. A B 15 kN 4 m 3, 10 kN 2 m 4 m

The three-bar truss ABC shown in the figure has a span L = 3 m and is constructed of steel pipes having cross-sectional area A = 3,900 mm2 and modulus of elasticity E = 200 GPa. A load P = 650,099 Newton acts horizontally to the right at joint C.        Note that point A is fixed, and point B is immovable in vertical direction but movable in horizontal direction.                              Find: (a) the axial forces in the bars, based on the force equilibrium of points C and B, (b) the strain energy of the truss (i.e., the total strain energy of bars AC, BC and AB), (c) the horizontal displacement of point C, based on the Work-energy principle.  Hint: 1. The lengths of AC and BC are: LAC = LBC = L sin 45° = 2,121 mm 2. For an axial member, the strain energy is × EA × 2 Force Length

NOTE: 1. The following are grounds for not considering your solution and final answers: a)Figures not properly labeled. b)Equations that are not consistent with the firgure. C)Equilibrium equations do not have sign conventions. d) unsequenced solution. e) answers without units 2. Computations accurate to the nearest tenths. Problem. Show that the following structures are statically determinate and determine the support reactions. b) B is pin connected, C is fixed, hinge supports A and D. 8 kN 8 kN 2 m -2 m 3 kN/m C 4 m D -3 m

Learning Goal: To be able to solve three-dimensional equilibrium problems using the equations of equilibrium. Part A As with two-dimensional problems, a free-body diagram is the first step in solving three-dimensional equilibrium problems. For the free-body diagram, it is important to identify the appropriate reaction forces and couple moments that act in three dimensions. At a support, a force arises when translation of the attached member is restricted and a couple moment arises when rotation is prevented.For a rigid body to be in equilibrium when subjected to a force system, both the resultant force and the resultant couple moment acting on the body must be zero. These two conditions are expressed as The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces Ay and Az at support A required to keep the system in equilibrium. The cylinder has a weight WB = 5.60 lb , and F = 1.50 Ib…

Calculate the forces in all members using equilibrium of joint, ALso check weather the member is in tension or in compression. only HANDWRITTEN answer needed ( NOT TYPED)

Part F

SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. 5.5 K 8 pies 10 pies D 6 pies 3.5 K 8 pies 10 pies 40° A E

For the truss structure shown, express the position vector r AC from point A topoint C in terms of its components in x and y. Determine the length of truss member AC usingvector operations (i.e., do not simply use the Pythagorean Theorem). Calculate the unit vector forr AC

Why should an element subjected to maximum shear stress be oriented?