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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 EIConsider 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 H
- Beam 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' 2ma) 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 XA 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 E
- Calculate 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=3 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 0.00A 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 X