Question 2 A steel rod having a cross-sectional area of 300 mm? and a length of 150 m is suspended vertically from one end. The rod supports a tensile load of 20 kN at its free end. Given that the mass density of steel is 7850 kg/m² and E = 200 GPa, find the total elongation of the rod.
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- As shown, a uniform beam of length d = 1.80m and mass 21.3kg is attached to a wall with a pin at point B. A cable attached at point A supports the beam. The beam supports a distributed weight W2 = 345N/m . If the support cable can sustain a maximum tension of 1250N , what is the maximum value for W1? Under this maximum weight, what is FBy which is the vertical component of the support's reaction force at point B? Show calculations. Will rate if correct.A construction worker with mass m= 55.0 kg stands 2.00 m away from the wall on a 6.00-m, homogeneous, uniform beam, as shown in the figure below. The mass of the beam is 40.0 kg. The force exerted on the beam by the wall has the following componentsProblem 9. For the tank shown in the figure, the following dimensions apply: h1=3.00m h2=4.50m w=2.50m y=9.81kN/m^3. Compute the horizontal component of the resultant force on the curved surfaces.a. 168.0 kNb. 158.0 kNc. 148.0 kNd. 138.0 kNe. 128.0 kNf. 118.0 kN
- The modulus of elasticity of the cantilever beam shown in the figure = 210.000 MPa and the length L = 5 m. Since q = 10 kN/m and 1=1,5x10-6 mm* end B collapses and calculate the rotation. 9 1 B LConsider a square-faced beam supporting a section of a building. a. Before installation, the length of the beam is found to be l0 = 15.04 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.95 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 36000 kg and has a side length d = 1.5 m. b. If we were to double the dimensions (length and width) of the beam, which of the following are correct. c. Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.The floor system of a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams (A = 9,100 mm2) that, in turn, are supported by two steel girders (A = 25,600 mm2), as shown in the figure. Determine the dead loads acting on beam BF and girder AD. Question 1: What is the value of floor load that will carry by beam BF in kN/m? Question 2: What is the value of dead load of beam BF alone in kN/m? Question 3: What is the total dead load that will carry by beam BF in kN/m?
- Q#4: A shaft having length equal to 10 m and diameter equal to (57) mm is simply supported at both ends. The shaft carries four masses (157) kg, (207) kg, (257) kg and (307) kg. These masses are located at a distance of 1.5 m, 2.5 m, 5.5 m and 7.5 m from the left hand side support, respectively. The modulus of elasticity, E, for the material of the shaft is 200 GN/m2 and mass density for the shaft material is 7500 kg/m3. Determine critical speed of the shaft in revolutions per minute for the following two cases: Effect of the mass of the shaft is neglected. Effect of the mass of the shaft is considered. What is the usefulness of the answers determined in this problem?A block of mass M = 4 kg is pulled by a force F = 100 N forming an angle of 60 degrees with themhorizontal plane with friction coefficient 0.3. Determine the work of force F, friction force and normal force.1. Consider a horizontal layer of the dam wall of thickness dx located a distance x above the reservoir floor. What is the magnitude dF of the force on this layer that results from adding the water to the reservoir? Express your answer in terms of x, dx, the magnitude of the acceleration due to gravity g, and any quantities from the problem introduction. 2. The force of the added water produces a torque on the dam. In a simple model, if the torque due to the water were enough to cause the dam to break free from its foundation, the dam would pivot about its base (point P). What is the magnitude τ of the torque about the point P due to the water in the reservoir? Express your answer in terms of quantities given in the problem introduction and the magnitude of the acceleration due to gravity g.
- A steel column with a cross section of 9 cm x 12 cm is 3 m in height and fixed at its base. The column is pinned against translation in its weak direction at the top but is unbraced in its strong direction. The column’s modulus of elasticity is 1.8 x 10^5 MPa. What is the most nearly the maximum theoretical vertical load the column can support without buckling?In the system given in three dimensions in the figure, L=6 m and all the bars have circular cross-sections. As can be seen, the carrier system is exposed to a force of P=250 kN in the –z direction from the D point. Since the safety stress of the material is 100000 kN/m², what is the smallest radius of the section according to the Tresca assumption?A transmission tower shown below is subjected to lateral loads as shown. A =4.7 kN, B =6.2 kN, C =7.6 kN Determine the magnitude of the axial force in member EG (in kN). Answer in two decimal places.