1.2 m 0.4 m 0.2 m Calculate the total moment vector (all three components) that force F = 75i + 1,369j - 295k N creates about point A on the beam. What is the Z-component of this vector in Newton-meters rounded to the nearest whole number?
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- Suppose that w = 220 kN/m. Specify where the resultant force acts on the beam measured from A.find shear force x’y’ and derívate the equation for tau x’y’Find the magnitude and location of the resultant force on the cylindrical arc shown in Fig. (10) in each of the following two case: a. Pg=120.11 KPa (abs) b. Pg=90.68 KPa (abs) The arc is 25m long (normal to the paper)
- A beam is carrying a moment M as indicated. The cross section of the beam is symmetric about the z axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that Iy = 280,000 mm4, Iz = 150,000 mm4, and M = 400,000 + UV in N.mm, where UV is 21(a) Calculate the components of the bending moment on the y and z axes, Myand Mz.(b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress.(c) Calculate the maximum tensile stress and the maximum compressive stress in the cross sectionFor the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 4.0 kips/ft, a= 6.5 ft, and b= 17.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Solve for shear and bending moment at 10 meters from A (consider left and right side)
- A 1800 mm wide dam holds back a lake h = 89 mm deep. What is the moment that the water exerts about the bottom edge of the dam (point P)?Determine the internal forces (axial force, shear force, and bending moment) at point j of the indicated structure, teta = 90 º,Give the expression for the shear force, V = V(x), and the bending moment,M = M(x), as a function of the distance, x, measured from point A.Hint: Find the expressions of shear force and bending moment in each section:AB (0< x <4), BC (4 <x <7) and CD (7< x <10)
- a.) From the given beam, determine the moment at point A. The unit for Force is in Newton(N) and Length is in meter(m).F=1,941M=2,626P=447 b.) determine the moment at point B. F= 552M= 3,083P= 8,989n this question, you will calculate the second moment of area for a 4 ✕ 6 piece of lumber about the x − x and y − y axes, as shown. A rectangle with height h and width w > h is centered on the origin of the x y-coordinate plane. The left and right sides of the rectangle, having height h, are parallel to the vertical y – y axis and the top and bottom sides, having width w, are parallel to the horizontal x – x axis. Visit a hardware store and measure the actual dimensions of a typical 4 ✕ 6 piece of lumber. (Enter your answers in inches.) h = in w = in Calculate the second moment of area about the x − x and y − y axes using the measured dimensions. (Enter your answers in in.4.) Ix – x = ______in4 Iy – y = ________in4A simply supported beam has a symmetrical rectangular cross-section. If thesecond moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. (show all work)