A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated. The beam cross section is circular with diameter 200mm, determine, (1) support reactions; (ii) maximum bending moment; (ii) maximum bending stress.
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Q: A uniformly distributed force of C kN/m and a concentrated load of D kN are applied to a cantilever…
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Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L= 800 mm.…
A: Answer: The largest moment M that can be applied to the beam is 494.6 N•m.
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Q: Q5: For simply supported beam AB shown in Fig.(5), find the value of L so that absolute maximum…
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Q: The rectangular section used for the simply supported beam shown in Figure Q2 is 250 mm deep and 320…
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Q: 3 For the simply supported beam shown in the figure, point (C) may represent a point of…
A: Take moment about the point A, From the vertical equilibrium of forces,
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A: In Question 2b the date is given Moment of area, I=11.50×106 mm4 Depth of the rectangular…
Q: a) Determine the 2nd moment of area of this cross-section in Figure Q4(b)?
A: To find second moment of inertia of the cross section = ?
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 800 mm.…
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Q: Figure Q3a shows a simply supported beam AB with support reactions Ra and Rs. Two point loads F1 35…
A: Using equilibrium conditions as follow 1. Sum of moment about A point zero 2. Sum of vertical forces…
Q: Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two point loads F1 =…
A: (1) To find: The reactions RA and RB at points A and B. Free body diagram: The FBD of system shown…
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Q: Figure Q3 represents an over-hanging beam, with a pin-support at point A and a rolling support at…
A: As per our guidelines we are supposed to solve only 3 subparts if multiple subparts are asked .…
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm.…
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Q: 75 kN 10 kN/m A D B %3D %3D %3D %3D 10 m 2 m 2 m The beam shown in the figure carries a distributed…
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Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm.…
A: Find the largest moment that can be required.
Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm.…
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Q: Two orientations of a 1 m length cantilever beam are to be considered as shown in Figure Q2(a). The…
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Q: Q2(a) A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated.…
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Q: Q3/ The beam shown in figure(3). carrying triangle distributed load 20KN/m and concentrated load…
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Q: Calculate the maximum bending moment that the beam experiences and give your answer in kilonewton…
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Q: (a) (b) hoi Cross section Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross…
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Q: For the loaded beam shown in Figure below : 2.1.Determine the reaction forces at the points of…
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Q: Q2(a) A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated.…
A: Given data diameter of beam (d) = 200 mm To determine (a) support reactions (b) Maximum…
Q: Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two point loads F1 =…
A: Before drawing shear force or bending moment diagram, first of all we have to find the external…
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Q: Figure Q3a shows a simply supported beam AB with support reactions Ra and RB. Two point loads F1 =…
A: First calculate the reactions at support and draw the bending moment diagram
Q: A simple beam is shown in Figure Q2(a) has three concentrated loads at the position indicated. The…
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Q: (c) A simply supported beam shown in Figure Q2(c) is subjected to a couple moment of 100 Nm.…
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A: Solution: Moment of inertia about neutral axis Ixx=0.066×0.046312-0.050×0.030312=4.228×10-7 m4 To…
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Q: 3. For a single element beam as shown in figure below, its equivalent nodal load matrix should be W…
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Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm.…
A: Given data L = 620 mm b1 = 39 mmd1 = 82 mmb2 = 23 mmd2 = 23 mma = 8 mmAllowable tensile bending…
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- The cross section of a rectangular beam having a width b and height h is shown in part a of the figure. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d/9 the top and bottom of the beam (see part b of the figure). For what values of d is the bending-moment capacity of the beam increased? For what values is it decreased?.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 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.
- Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.The beam ABC shown in the figure is simply supported at A and B and has an overhang from B to C. The loads consist of a horizontal force P1= 4,0 kN acting at the end of a vertical arm and a vertical force P2= 8.0 kN acting at the end of the overhang, Determine the shear force Fand bending moment M at a cross section located 3,0 m from the left-hand support. Note: Disregard the widths of the beam and vertical arm and use centerline dimensions when making calculations, Find the value of load A that results in V = 0 at a cross section located 2.0 m from the left-hand support. If P2= 8.0 kN, find the value of load P1that results in M = 0 at a cross section located 2,0 m from the left-hand support..2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
- A sandwich beam having steel faces enclosing a plastic core is subjected to a bending moment M = 5 kN · m. The thickness of each steel face is 1 = 3 mm with modulus of elasticity E = 200 GPa, The height of the plastic core is hp= 140 mm, and its modulus of elasticity is Ep= 800 MPa. The overall dimensions of the beam are h = 146 mm and h = 175 mm. Using the transformed-section method, determine the maximum tensile and compressive stresses in the faces and the core.A r o lukI f/frm f «m t ub e of ou t sid e d ia met er ^ and a copper core of diameter dxare bonded to form a composite beam, as shown in the figure, (a) Derive formulas for the allowable bending moment M that can be carried by the beam based upon an allowable stress <7Ti in the titanium and an allowable stress (u in the copper (Assume that the moduli of elasticity for the titanium and copper are Er- and £Cu, respectively.) (b) If d1= 40 mm, d{= 36 mm, ETl= 120 GPa, ECu= 110 GPa, o-Ti = 840 MPa, and ctqj = 700 MPa, what is the maximum bending moment Ml (c) What new value of copper diameter dtwill result in a balanced design? (i.e., a balanced design is that in which titanium and copper reach allow- able stress values at the same time).A W 12 x 50 steel wide-flange beam and a segment of a 4-inch thick concrete slab (see figure) jointly resist a positive bending moment of 95 kip-ft. The beam and slab are joined by shear connectors that are welded to the steel beam. (These connectors resist the horizontal shear at the contact surface.) The moduli of elasticity of the steel and the concrete are in the ratio 12 to 1. Determine the maximum stresses r1 and xtin the steel and concrete, respectively. Note: See Table F-l(a) of Appendix F for the dimensions and properties of the steel beam.
- The cross section of a sandwich beam consisting of fiberglass faces and a lightweight plastic core is shown in the figure. The width b of the beam is 50 mm, the thickness I of the faces is 4 mm, and the height hcof the core is 92 mm (total height A = 100 mm). The moduli of elasticity are 75 GPa for the fiberglass and 1.2 GPa for the plastic. A bending moment M = 275 N · m acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?A wood beam reinforced by an aluminum channel section is shown in the figure. The beam has a cross section of dimensions 150 mm x 250 mm, and the channel has a uniform thickness of 6.5 mm. If the allowable stresses in the wood and aluminum are 8 M Pa and 38 M Pa, respectively, and if their moduli of elasticity are in the ratio 1 to 6, what is the maximum allowable bending moment for the beam?