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- MA MB= Mc= MD= Required information For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V=50 lbf/in and V2 = 7 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Hinge = 1400 lbf/ A BI AC R₂ R₁ 4 in 4 in 2 in V1 Determine the values of the moments at points A, B, C, and D. lbf.in lbf.in lbf.in Ibf.in V2 D R₂A uniform beam is fixed at end x=0 and simply supported at x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. a. b. C. e. O y(x) = d. y(x) = a y(x) = y(x) = y(x) = W 24 El -[x4 - 4Lx³ +6L²x²] =[x4-2Lx³ + L²x²] -[x4-2Lx³ + L³x] -[2x4-5Lx³+3L²x²] [2x4-3L³x³ +3L²x²] W 24 El W 24 El W 24 El - W 24 EIBeam ABC in the figure is loaded as shown. Determine the support reactions. 80KN 20KN/m -30kN 60KN-m [2m BA -am-t-am- 3ma 2m' 2m
- Consider the following values in the given beam above: L1=6m L2 = 2 m L3 = 4 m L4=3m L5=2 m L6=1m W1 = 90 kN/m W2 = 30 kN/m P = 50 kN M = 60 kN-m Point E is an internal hinge W1 B L2 L3 2 m E W2 L5 L6 Ha) For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 →→ dz Load b1 Support b3 → Figure Q6a b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 kN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use lxx = [¹/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. d1The beam shown below is supported by rollers at A and B, and by a pin at C. If EI is constant over the length of the beam, find the reaction forces at A, B, and C. 15 kip AT 6 ft B_ 6 ft 12 ft 3 kip/ft C
- A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft, Lac = 2 ft, Lcp = 4 ft, LDE = 4 ft, Pc= 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b1 = 10 in., b₂ = 2 in., b3 = 6 in., d₁ = 2 in., d₂ = 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress o at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) OT = (b) oc= i i WAB LAB B Pc LBC b₁ b3 C LCD -b₂ psi. psi. D d₁ LDE d₂ d3 PE E XCalculate the support reaction at A and B for thve beam shown in the fiqure below Take F 700 N. 3M 1M By Reaction force at point B By UN. Reaction force at point A N. Ay=A new art exhibit featuring mobile works is going up in the Norwalk, CA area. One art work is shown in the figure below. A 105 N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached 3/5 from the bottom of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 7.5 N. 10 WALL FLOR (a) ( If one shoe is attached 1/7 of the way up the beam and another shoe is attached 5/8 of the way up the beam, with e, = 70.1° and e, 30.1°, what is the tension in the cable, in newtons? %3! %3D (b) What is the x-component of the force, in newtons, that the pivot exerts on the bottom of the beam? (c) O What is the y-component of the force, in newtons, that the pivot exerts on the bottom of the beam?
- A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft. LBc=2 ft, LCD= 4 ft, LDE= 4 ft, Pc = 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b₁ = 10 in., b2= 2 in., b3 = 6 in., d₁ = 2 in., d₂= 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) σT = (b) a = WAB LAB i 545.779 706.391 B Pc LBC b₁ b3 C LCD -b₂ psi. psi. D ↓ d₁ LDE d₂ PE EA flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft. LBc = 2 ft, LCD = 4 ft, LDE = 4 ft, PC= 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b₁ = 10 in., b₂ = 2 in., b3 = 6 in., d₁= 2 in., d₂ = 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) σT = (b) a = i WAB LAB 666.41 864.39 B Pc 1 LBC b₁ b3 C LCD -b₂ psi. psi. D d₁ d3 LDE PE E X3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00