Problem 6 (25 minutes) The following rigid beam is supported by a pin and two steel rods (E=29,000 ksi, α=12 106 1/°F) of diameter d = 1.2 in. The load w = H = 3 kip/ft is applied on the beam and the temperature is raised 40 °F. Use G = 2 ft. 1. Draw the expected kinematics of the system 2. Determine the vertical displacement of point D Gift EDO ע G(ft) A Kip W = H (kite) HE RIGID 5 ft B
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- T (Shear force) and M (Bending) for the system whose loading condition is given in Figure 1.Draw the moment diagrams. Calculate the deflection (vertical displacement) at point B in mm using Castigliano's Theorem. The beam bending stiffness (EI) is constant along the bar and its value is 50 000 kNm2. q=1,4(kN/m) a=8(m) El=50000(kNm2)where, bf1= 260 bf2 = 120 tf = 25 tw = 16 d1 = 160 d2 = 110 1. Calculate the location of the neutral axis from the bottom of the beam in mm. 2. Compute for the moment of inertia in 1x10^6 mm^4. 3. What is the value of in kN/m, considering flexural stress in tension? 4. What is the value of in kN/m, considering flexural stress in compression? 5. What is the statical moment of area (Q) in 1x10^3 mm^3 ? Use three decimal places. 6. What is the value of in kN/m, considering shear stress at the welded section? 7. What is the safest value of in kN/m? Use three decimal places.Fluid Mechanics Problem 1) A rectangular gate 3 meters high and 1.2 meters wide is hinged at the top. A force to keep the gate closed is applied at the bottom with an angle of 45 degrees with the veritcal. Compute the following if the water surface is 0.9 meters below the top of the gate. Use 9.81kN/m^3 as water's specific weight. a. the total hydrostatic force acting on the gate in kN. b. the distance of the total hydrostatic force measured from the liquid surface in meter. c. the magnitude of the force at the bottom of the gate in kN. 2) Use 9.81kN/m^3 as water's specific weight. Consider the rectangular gate shown in the figure. If the gate has a length of 2 meters, determine: a. the force exerted by the water on the left side of the gate in kN. b. the force exerted by the water on the right side of the gate in kN. c. the horizontal force at B required to turn the gate about the hinge in kN.
- The continuous beam shown in the figure is fixed at both ends A and D, and supported by rollers at B and C Assume I = 800 x 106 mm4 and E = 70,000 MPa. W1 (kN/m) = 25 F (kN) = 50 S (mm) = 15 If there is a settlement of S at the support C, solve the following: 1. Slope at B, in radians 2. Slope at C, in radians 3. Reaction at A, RA in kN 4. Moment at A, MA in kN-m 5. Reaction at D, RD in kN 6. Moment at D, MD in kN-mFor the beam and loading shown below, determine the beam deflection at point H. Assume that EI = 5.6 × 104 kN·m2 is constant for the beam; P = 40 kN, LAB = 3.9 m, LBH = 3.9 m.The pressure drop ΔP = P1 − P2 through a long section of round pipe can be written in terms of the shear stress ?w along the wall. Shown in Fig is the shear stress acting by the wall on the fluid. The shaded region is a control volume composed of the fluid in the pipe between axial locations 1 and 2. There are two dimensionless parameters related to the pressure drop: the Euler number Eu and the Darcy friction factor f. (a) Using the control volume sketched in Fig. , generate a relationship for f in terms of Eu (and any other properties or parameters in the problem as needed). (b) Using the experimental data and conditions of Prob. 7–81 (Table P7–81), plot the Darcy friction factor as a function of Re. Does f show Reynolds number independence at large values of Re? If so, what is the value of f at very high Re? Answers: (a) f = 2 D LEu; (b) yes, 0.0487
- Question: Calculate the vertical reaction force at G and the vertical reaction force at A.Using ANY GEOMETRIC METHOD Consider 250 mm x 400 (b x h) mm section and E = 100,000 MPa. Enter the absolute value only and round-off your answer to 3 decimal places. GIVEN: a = 5.6 m b = 4.4 m c = 15.9 kn/m d = 22 kn QUESTIONS: 1. Determine the VERTICAL REACTION at B in KN. 2. Determine the SLOPE at B in DEGREES. 3. Determine the DEFLECTION at D in MM. 4. Determine the DEFLECTION AT MIDSPAN OF THE BEAM in MM. Thank you! Please answer all. ❤️The masses of the frictionless cylinders A and B in FIG JWU are 2.0 kg and 1.0 kg, respectively. The smallest value of the force P that will lift cylinder A off the horizontal surface is 55.5 N. 24. Calculate the radius R of the cylinder B.a. 12.5 mm b. 15 mm c. 10 mm d. 16 mm 25. Determine the reaction of the wall at cylinder A.a. 58.87 N b. 29.43 N c. 55.5 N d. 9.81 N
- For the beam and loading shown below, determine the beam deflection at point H. Assume that EI = 6.4 × 104 kN·m2 is constant for the beam; w = 3.6 kN/m, LAB = 3.7 m, LBC = 7.4 m, LCH = 3.7 m.The beam AB, shown in Figure 1a, with length L = 4.5 m is subjected to a uniform distributed load w = 13 kN/m and a concentrated moment M = 18 kN.m applied at point B. The beam has a rectangular cross-section with height h = 183 mm, width b = 98 mm, and constant thickness t = 12.5 mm as shown in Figure 1b. Take E = 200 GPa. 1. Determine the moment of inertia of the cross section .2. Determine the slope at point BThere is a beam subject to a uniform force w as shown in the figure below. The E of the entire section is 200 GPa and I is 60x10^6 mm^4. (a) Calculate the reaction force at point c and the vertical displacement at point B (b) If the support point C sinks downward by 0.1m for some reason, calculate the reaction force at point C and the vertical displacement of point B.