A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b= 35 mm and depth d= 125 mm. Calculate the maximum bending moment that the beam experiences and give your answer in kilonewton metres (kNm) to two decimal places. *Assume the weight of the beam is negliaible and zero.
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- .10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.A beam of length L is designed to support a uniform load of intensity q (see figure). If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is qL2/8. However, if the supports of the beam are moved symmetrically toward the middle of the beam (as shown), the maximum bending moment is reduced. Determine the distance a between the supports so that the maximum bending moment in the beam has the smallest possible numerical value. Draw the shear-force and bending-moment diagrams for this condition. Repeat part (a) if the uniform load is replaced with a triangularly distributed load with peak intensity q0= q at mid-span (see Fig. b).A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
- A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances xtand ycfrom the centroid (C1) of the channel alone. Principal axes yl and yvare also shown in the figure and properties Ix1,Iy1and 0pare given. Find the orientation of the neutral axis and calculate the maximum tensile stress exand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 106 nrai4,/;| = 1.602 X 106 mm4, ep= 7.448*(CW),_r£ = 10.70 mm,andvf= 24.07 mm.Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity q0and beam length variable L. Repeat for structure (b) but find Fand M at m id-span of member BC.
- A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the maximum bending moment that the beam experiences and give your answer in kilonewton metres (kNm) to two decimal places. *Assume the weight of the beam is negligible and zero. 2000A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b= 35 mm and depth d = 125 mm. Calculate the maximum bending moment that the beam experiences and give your answer in kilonewton metres (kNm) to two decimal places. "Assume the weight of the beam is negliaible and zero.A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 275 kilonewtons (kN) acts at point C where distance L1 (A to C) = 3.75 metres (m) and distance L2 (C to B)= 1.25 metres (m). The dimensions of the rectangular section of the beam are breadth, b=45 mm and depth d= 205 mm. Calculate the second moment of area for rectangular section of the beam about its centroidal x-axis (Ixxcentroid). Give your answer in mm4 and rounded to nearest mm4. 0000
- A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B)= 1.65 metres (m). The dimensions of the rectangular section %3D of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the second moment of area for rectangular section of the beam about its centroidal x- axis (Ixxcentroid). Give your answer in mm4 and rounded to nearest mm4. MacBook AirA beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F= 275 kilonewtons (kN) acts at point C where distance L1 (A to C) = 3.75 metres (m) and distance L2 (C to B) = 1.25 metres (m). The dimensions of the rectangular section of the beam are breadth, b= 45 mm and depth d=205 mm. Calculate the maximum bending stress and give your answer in N/mm² to two decimal places. *Assume the weight of the beam is negligible and zero. 11a) A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F = 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the maximum bending moment that the beam experiences and give your answer in kilonewton metres (kNm) to two decimal places. *Assume the weight of the beam is negligible and zero. b) A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F = 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B)= 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the second moment of area for rectangular section of the beam about its centroidal x-axis (Ixxcentroid). Give your answer in…