In the figure as shown below, determine the following maximum moment. a.) Reaction at A and B. P=(20+3B+C) (KN) w=(10+2D+E) (kN/m) 2+D+E(m) 2+D+E(m) B
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- Consider the free-body diagram of a truss. IN 4 m 1N 4 m 4 m Gx 4 m Select the correct equilibrium equation for moment about joint A from the following choices. Consider counter-clockwise moment positive. o a. No correct answer given O b.A,(0) + G, (0) + G(4) – 1(4) – 1(8) – 1(12) + 1(4) + 1(4) = 0 OC.A(O) + G,(0) + C,(4) – 1(4) – 1(8) – 1(12) – 1(4) + 1(4) -o o d.A(0) + G,(0) + G(4) – 1(4) + 1(8) – 1(12) - 1(4) + 1(4) =0q(x)= q0[1-c(x/L)] is the distributed load in the truss system given in the figure. It is a built-in support on both supports. a) Calculate the elastic curve equation from the distributed load. b) Find the support reactions. (q0= 6, c=1, L=1) (fixed on both sides)Problem 1 A simply supported prismatic beam AB carries a uniformly distributed load w per unit length. Determine: d¹y (a) Start with the EI=-w and integrate it twice to ,d²y dx4 get to El= M(x)=?. Show what? is. dx² a. Hint: What is the moment at both ends? (b) Derive the Moment equation and does it match the solution you got for (a) (c) Equation of the elastic curve in variables by integrating your solution for (a) twice more and solving for the last two constants of integration. (d) The maximum deflection of the beam in variables W Answer: (a) y = 24 (−x¹ + 2Lx² − Ľ³x) (b) \y\max 24EI B 5wL4 38EI
- What is the value of the vertical reaction force at E in N? if P = 32-N. (Note: enter your numeric answer only. No need to enter units. Give your answer to three decimal places and negative in the down direction). Ey = -2 m- -2 m D E C 1.5 m B.Please solve using 3 kip instead of 2 kip for the downward force 2 kip at P a 60° 1 kip The end of a cantilever I beam supports forces from three cables. a) If P = 0, determine the resultant force applied by the two cables to the I beam and report your result using polar vector representation. b) Repeat Part (a) if P = 1.5 kip and ? = 30?. c) With ? = 30?, what value of P will produce a resultant force that is horizontal? d) If the resultant force is to be horizontal and Pis to be as small as possible, determine the value ? should have and the corresponding value of P.Q2: Determine the moment of the (50 N) force 50 N shown in figure with respect to: 1-Point A, 2-Point o 60
- Given the problem: From the truss in the figure, determine the following: a.) Reaction at 'A' in N. b.) Reaction at 'D' in N. c.) Force in member 'BC' in N *Round off final answer in 4 decimals. Thank you.A cantilever beam is free of support at point A and is clamped at the point B, as shown in the Figure Q4 below. Calculate the support reaction force and moment for the non-uniformly distributed load, where w =74 N/m and L = 6 m. The downward direction is denoted as positive direction in force and the anti- clockwise direction is defined as positve in moment. For all numerical answers, answer to within 3 decimal places. A v y -L- Figure Q4: A cantilever beam under non-uniformly distributed loadFor the beam shown below, let wo = 16 N/m, W₁ dimensions are in m. 0 1 Wo ↓ = 10 N/m, and M = 16 N/m. All W₁ min 1 1 2 3 4 5 7 Figure 2 Loaded Cantilever Beam L 6 1 8 a. Find the reactions at A. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). M 9 m d. Determine and plot the shear diagram for the given loading conditions. e. Determine and plot the moment diagram.
- QUESTION 6 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 80 mm, h = 170 mm). P = 4.3 kN 3 m -2 m- C B L-5m Calculate the reactions of the beam. Assume that E = 190 GPa. (Solve by the method of superposition. The beam has constant flexural rigidity EI. ASsume that the +x-axis is to the right and the +y-axis is up along the page, with the origin at A. Use the statics sign convention. Assume the positive direction for moments is counterclockwise. Enter your forces in kN and your moments in kN m.) R. = kN Ra = kN MA = kN- m Ma = kN - m Calculate the displacement at point C. (Enter your answer in mm. Use the statics sign convention.) mmConsider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be Hg and Vg respectively and Vc be the vertical reaction at the joint C. A 60° 60 F 60° 60° Which one of the following sets gives the correct values of VR, Hg and Vc? (a) VB = 0; H, = 0; Vc = P (b) VB = P/2; H3 = 0; Vc = P/2 (c) V = P/2; H = P (sin 60°); V. = P/2 (d) V = P; H = P (cos 60°); V. = 0 %3D %3D %3D %3D %3D C %3D %3D %3D %3D %3DMember AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole in the collar fixed to the member as shown in (Figure 1). Suppose that F₁ = 250 N, F₂ = 350 N, and the rod holds in equilibrium. Figure F₁ x 1m 3 m Z A 1.5 m y 1 of 1 Part A Determine the components of reaction force at A using scalar notation. Express your answers in newtons to three significant figures. Enter your answers separated by a comma. ► View Available Hint(s) Ax, Ay = Submit Part B TBC = Submit Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Part C ΠΑΣΦ ↓↑ ΠΑ Submit Value (MA)x, (MA)y, (MA) z vec Units Determine the components of the moment of reaction at A using scalar notation. Express your answers in newton-meters to three significant figures. Enter your answers separated by commas. ► View Available Hint(s) Previous Answers = -525,-1050,-2330 Nm N ? Correct Here we learn…