Determine the maximum shear force and bending moment in the beam given that L1=L2=L3= 3m, F1= 12kN, F2= 14kN, F3=16 kN
Q: A beam is subjected to equal bending moments of Mz = 39 kip·ft. The cross-sectional dimensions are…
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Q: A beam is subjected to equal bending moments of Mz = 39 kip·ft. The cross-sectional dimensions are…
A: Given data: M=+39 kip.ft
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Q: A beam is subjected to equal bending moments of M₂ = 41 kip-ft. The cross-sectional dimensions are…
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Q: A beam is subjected to equal bending moments of M₂ = 54 kip-ft. The cross-sectional dimensions are…
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Q: A beam is subjected to equal bending moments of M₂ = 41 kip-ft. The cross-sectional dimensions are…
A: As per company's guidelines we can only answer first three questions. Kindly post other questions…
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Q: A beam is subjected to equal bending moments of M, = 56 kip-ft. The cross-sectional dimensions are…
A: Given:- Bending moment, M2 = 56 kips-ft
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Q: A beam is subjected to equal bending moments of M₂ = 47 kip-ft. The cross-sectional dimensions are…
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Q: A beam is subjected to equal bending moments of M₂ = 48 kip-ft. The cross-sectional dimensions are…
A: Given: Mz = 48 kip-ft cross-sectional dimensions b 1 = 8.7in ,d 1 =1.4 in.,b 2 =0.65in d2 = 6.8in…
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Q: A beam is subjected to equal bending moments of M₂ = 38 kip-ft. The cross- sectional dimensions are…
A: As per company's guidelines we can only answer first three questions. Kindly post other questions…
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Q: A beam is subjected to equal bending moments of Mz = 60 kip·ft. The cross-sectional dimensions are…
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Q: beam is subjected to equal bending moments of Mz = 57 kip·ft. The cross-sectional dimensions are b1…
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Q: (b) the bending stress at point H. Tensile stress is positive, while compressive stress is nega (c)…
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Q: (a) the centroid location (measured with respect t the bottom of the cross-section), the moment of…
A: Given that, Mz = 45kipft The cross-sectional dimensions:b1 = 9.1 in., d1 = 1.7in , b2 = 0.9in., d2 =…
Q: A beam is subjected to equal bending moments of M₂ = 55 kip-ft. The cross-sectional dimensions are…
A: As per guidelines, first three sub parts have been solved.
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Q: A beam is subjected to equal bending moments of M₂ = 41 kip-ft. The cross-sectional dimensions are…
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Q: (a) y = i in. |₂= i in.4 S= i or 3
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Q: A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are…
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Q: A beam is subjected to equal bending moments of M₂ = 58 kip-ft. The cross-sectional dimensions are…
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Q: P8.5 A beam is subjected to equal bending moments of M₂ = 45 kip. ft, as shown in Figure P8.54. The…
A: Given data,Mz-45 kipftc b1 = 7.5 in b2 = 0.75 inb3 = 3 in ind1= 1.5 ind2 = 6.0 ind3 = 2 inFIND(a)…
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Determine the maximum shear force and bending moment in the beam given that L1=L2=L3= 3m, F1= 12kN, F2= 14kN, F3=16 kN
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- A beam is subjected to equal bending moments of Mz = 55kipft The cross-sectional dimensions are b1= 6.3 in.. d1 = 1.5in b2 = 0.6in d2 = 6.2in b3 = 2.8in and d3= 2.2in Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive. while compressive stress is negative.P9.27 A wooden I beam is fabricated from three pieces of dimension lumber as shown in Figure P9.27. The cross-sectional dimensions are bƒ = 90 mm, tƒ = 40 mm, d = 240 mm, and tw = 40 mm. The beam will be used as a simply supported beam to carry a concentrated load P at the center of a 5 m span. The wood has an allowable bending stress of 8,300 kPa and an allowable shear stress of 620 kPa. The flanges of the beam are fastened to the web with screws that can safely transmit a force of 800 N in direct shear. y dw FIGURE P9.27 (a) If the screws are uniformly spaced at an interval s = 200 mm along the span, what is the maximum concentrated load P that can be supported by the beam, given the strength of the screw connections? Demonstrate that the maximum bending and shear stresses produced by P are acceptable. (b) Determine the magnitude of the load P that produces the allowable bending stress in the span (i.e., σ₂ = 8,300 kPa). What screw spacing s is required to support this load?1.1.2 Calculate the forces in members AB, BG, and GF using the method of section.
- use force method Consider the beam shown below. The structure is subjected to two concentrated loads. If all three supports settle the following amounts: A = 4.0 in., B = 2.0 in., and C = 3.5 in., determine reactions and draw the bending moment and shear force diagrams. 60 k |90 k the support B 10 ft 10 ft-–10 ft 10 ft Note: E = 4,000 ksi, I = 1200 in; select the reaction at Support B to be the redundant.A beam is subjected to equal bending moments of M2 = 56 kip-ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.50 in., d2 = 6.6 in., b3 = 2.2 in., and d3 = 2.3 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. y K M2 M, d2 b2 d3 b3 Answer: (a) y= i in. 1z= i in.4 S= i on.3 (b) OH = i ksi ( c) σκ-i ksi (d) Omax = i ksiThe cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where bf = 7.00 in., d = 12.5 in., tf = 0.475 in., tw = 0.250 in.(a) Compute the value of Q that is associated with point K, which is located yk = 3.0 in. above the centroid of the wide-flange shape.(b) If the allowable shear stress for the wide-flange shape is τallow= 12 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. Calculate the cross-sectional area of the top flange (1), the bottom flange (2), and the web (3).Answers:A1 = in.2.,A2 = in.2.,A3 = in.2. Part 2 Determine the location of the y direction centroids of the top flange (1), the bottom flange (2), and the web (3), with respect to the bottom of the cross-section.Answers:y1 = in.,y2 = in.,y3 = in. Part 3 Determine the centroid location in the y direction for the cross-section…
- A beam is subjected to equal bending moments of M₂ = 37 kip-ft. The cross-sectional dimensions are b₁ = 9.1 in., d₁ = 1.4 in., b₂ = 0.95 in., d₂ = 5.6 in., b3 = 2.6 in., and d3 = 2.5 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. (a) y= in. i in.4 S= i M₂ on.3 (b) OH = i ksi (c) Ok= i ksi (d) Omax = ksi FFFF Stream Courses M₂ X Z b₂ Н. Calendar K b₁ y| b3 More [d₁ d₂ d3The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P₁ = 400 kN and P₂ = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,000 mm², Acf-9280 mm² and bars are shown in the figure. 1.5 m P₁ = 400 kN E A B 1.5 m A A 2.1 m A D P, 360 kN 2.4 m F 0.6 m Determine the vertical displacements 8 and 8p of points A and D, respectively.The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where b = 6.50 in., h = 15.0 in., ty = 0.550 in., t₂ = 0.325 in. (a) Compute the value of Q that is associated with point K, which is located d = 4.0 in. above the centroid of the wide-flange shape. (b) If the allowable shear stress for the wide-flange shape is Tallow = 13 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. b 4 Answer: Omay= the tolerance is +/-3% in.3. 9 Answer: Pmax=1 (1) (2) kips. (3) The maximum value of Q for the cross-section is at the z centroidal axis. Break the calculation into two parts. First, consider only the portion of the web between the z centroidal axis and the bottom of the top flange, and calculate Q₁ for this portion of the cross-section. Then, consider only the top flange, and calculate Q₂ for this portion of the cross-section. The value of Qmax is then the sum of Q₁ and…
- A beam is subjected to equal bending moments of M₂ = 37 kip-ft. The cross-sectional dimensions are b₁ = 8.5 in., d₁ = 1.0 in., b₂ = 0.70 in., d₂ = 5.0 in., b3 = 2.0 in., and d3=1.5 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ Answer: (a) y= i 1₂= i S= i (b) σH = i (c) OK= i (d) gmax= i in. in.4 OM,3 ksi ksi ksi M₂ X b₂ Н. K b₁ y b3 d₁ d₂ dzA beam is subjected to equal bending moments of M₂ = 47 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.5 in., b₂ = 0.85 in., d₂ = 5.8 in., b3 = 2.8 in., and d3 = 1.7 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ Answer: (a) y-i 1₂= i S-i (b) OH= (c) OK= i (d) Omax= i i in. in.4 on 3 ksi ksi ksi X Z H O y K dzA beam is subjected to equal bending moments of Mz = 39 kip·ft. The cross-sectional dimensions are b1 = 6.7 in., d1 = 1.8 in., b2 = 0.75 in., d2 = 6.8 in., b3 = 2.6 in., and d3 = 2.2 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.