A simply supported beam hinged at A and supported at C, is carrying a distributed load and a point load (see Fig. 1). The beam has a Young Modulus E = 80 GPa and a constant depth of 400 mm. The moment of inertia of the beam is limited to be I = 255 x 10-4 m*. P- 120 KN 9. 15 KN/m 4 On Figure 1 (a) (0 Write the bending moment expression using Macauley's method. (ii) Determine the bending moment at A. (ii) Determine the bending moment at B. (iv) Determine the bending moment at C.
Q: A simply supported beam with span of 8 m is subjected to a counterclockwise moment at the left…
A: Given Data The length of the beam is:L=8m The yield strength of the steel beam is:Fy=248 MPa The…
Q: 3- The cantilever beam shown below carries a distributed load of maximum intensity w= 20 kN/m,…
A:
Q: A simply supported beam of length 30-in diamater 2-in is supported at A and D, subject to load P at…
A:
Q: . A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2 kN normal to…
A: Load, W= 2 kN= 2000 NSide length of the square, a= 6 mmYoung's modulus, E= 210 GPa= 210000…
Q: A beam ABCD with a vertical arm CE is supported as simple beam at A and D as shown in the figure. A…
A: dear student please rate me positive Stay safe stay happy!
Q: Beam ABCD represents a reinforcedconcretefoundation beam that supports a uniformload of intensity q1…
A: Given Load, q1 = 3500 lb/ft Length, L = 14 ft Find Shear force VB and bending moment MB
Q: A simply supported beam ABCD is subjected to a linearly distributed load, with wo = 100 N/m, two…
A:
Q: maximum shear stress and normal stress in the beams.
A:
Q: A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q=3…
A:
Q: Example 4 The simply supported beam in Figure below has a rectangular 3kN cross section 100 mm wide…
A: Solution: To find support reactions at A and B, considering static equilibrium,…
Q: For the wood beam shown in Figure A, assume L = 1.5 mand P = 15 kN. The beam cross section shown in…
A:
Q: 1. A cantilever beam supporting two concentrated loads at points A and B, is shown in Figure 1.…
A:
Q: the amount of collapse that will occur at the B point is 4mm. The diameter of
A: We will find out the deflection at B due to point load and moment and equate it with permissible…
Q: A beam with a guided support and 10 t span supports a distributed load of intensity a630 Ib/t over…
A: Given:
Q: Consider a fixed beam under uniformly distributed load 'w' as shown in the figure below: w A B…
A: Data given -
Q: A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q = 3.0…
A:
Q: For simply supported beam below, find; Free body diagram and reaction forces Shear force value and…
A: i) Freebody Diagram and Reaction Forces: ΣMD = 0FA×7-15(1.5+2+2)-10(2)=0FA×7-102.5=0RA =14.64 KNΣFy…
Q: Consider a wood beam (see figure) carrying a uniform load of 13.5 kN/m (which includes the weight of…
A: In this part, each part is having 2 unknowns so we will solve first part for you. Please resubmit…
Q: The cross-section of beam shown in Figure Q2 (centroid in red) is subjected to pure bending. Taking…
A:
Q: Find the absolute maximum bending stress in the beam shown in the figure below. (Figure 3) The beam…
A:
Q: The beam with triangular section L = 180 cm long shown in the figure is forced to bend with a…
A: Given: Maximum stress is 3600 daN/cm2. q=4.5 daN/cm Length of the beam is 180 cm. b=6 cm Factor of…
Q: A cantilever beam of length L = 2 m supportsa load P = 8.0 kN (see figure). The beamis made of wood…
A: Consider a beam of rectangular cross-section having width b and depth h. Then, shear stress…
Q: Calculate the maximum shear stress τmax and the maximum bending stress σmax in a wood beam (see…
A: Draw the free body diagram of simple supported beam-
Q: EIn the Figure below, a cantilever beam is subjected to an inclined force (P); calculate the: 1-…
A: (a) The normal stress: 144.3375 kPa. (b) The shear stress: 83.3333 kPa.
Q: 5 planks (4@ 40 x 40 mm and 1@40 x 380 mm), joined together forming |-section (shown in figure).…
A:
Q: Ex: For a simple beam of length (L) subject to a concentrated load (P), shown in figure, Find : 1.…
A: Since, all the three parts are different question. And, as per the guidelines, I can solve only one…
Q: he composite beam shown in the Figure below is formed of a wood beam and a steel inforcing plate.…
A: M=60 kips.in. Ew=1500 ksiEs=30000 ksi Let wood of reference material, For wood n=1 For steel…
Q: The Cantilever beam ABC in figure below (a) consist of two segment AB and 21, for segment BC.…
A: When any beam is subjected to load, the beam tends to deviate. When a beam deflects, the neutral…
Q: Box-section cantilever beam in the figure bears. Safety stresses in pressure and tension…
A: “Since you have posted a question with multiple sub-parts, we will solve first two subparts for you.…
Q: A simply supported wood beam of rectangular cross section and span length 1.2 m carries a…
A:
Q: Q1 A cantilever beam AB of isosceles trapezoidal cross section has length L = 0.8 m, dimension bi =…
A: For solution refer below images.
Q: A horizontal beam AB of 1.8-2 cross-sectional dimensions (b X h = 19 mm x 200 mm) is supported by an…
A:
Q: For the fixed-ended beam shown in figure below, each end moment equals: P A В L/2- L/2- P/2 O P/8…
A: For the fixed-ended beam shown in figure below, each end moment equals: P/2 P/8 P/16 P/4
Q: A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed…
A: If the cross section has the dimensions stated and the moment of inertia about the z-axis is 3.10…
Q: A beam AB with overhanging is 6 m in length and made from steel as shown in Figure 2. It is…
A: UVL Uniform varying load on the beam as shown in problem figure. This load is in increasing manner…
Q: semicircular arch and loaded as shown in the figure. Determine the maximum bending stress. Assume…
A: Permissible stress is stress which produces due to pressure or forces which does not exceed the…
Q: A cantilever beam carries a trapezoidal distributed load ( see figure) . Let wB=2.5 kN/ m, wA=…
A: The deflection and the angle of the free end of cantilever beam when subjected to uniformly…
Q: 10.4-2 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross…
A:
Q: A wide-flange beam (see figure) is subjected to a shear force V. h h Using the following dimensions…
A:
Q: The Cantilever beam in Fig. 5, has a circular cross section (diameter 100 mm) (a)find the shear…
A: Given data, d = Diameter of the circular cross-section = 100 mm w = Intensity of the uniform load =…
Q: A cantilever beam with rectangular cross section is loaded as shown in figure. Plot the maximum…
A: given; load=Pwidth=bheight=hlength=L
Q: A cantilever beam is of length 1,5 m, loaded by a concentrated force P at its tip as shown in the…
A: Given: Length of the beam (L)=1.5mRadius of the circular crossection=100mmMaximum allowable bending…
Q: A simply supported beam is subjected to a distributed load of wi=640 N/m and a point load pi = 940…
A:
Q: A simply supported beam AB = 10 m has a hollow rectangular cross-section with 17 cm as width, 28 cm…
A:
Q: 1- The below cantilever beam AB of length L= 3m carries a uniformly distributed load of intensity w…
A:
Q: ter of the beam must be at least how many mm so that the amount of collapse that will occur at point…
A: We will find out the deflection at B due to point load and moment and equate it with permissible…
Q: A composite beam consisting of fiberglass faces and a core of particle board has the cross section…
A:
Q: A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0…
A:
Q: A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity…
A:
Step by step
Solved in 2 steps with 2 images
- Two flat beams AB and CD, lying in horizontal planes, cross at right angles and jointly support a vertical load P at their midpoints (see figure). Before the load P is applied, the beams just touch each other. Both beams are made of the same material and have the same widths. Also, the ends of both beams are simply supported. The lengths of beams AB and CD are LABand LCD, respectively. What should be the ratio tABltCDof the thicknesses of the beams if all four reactions arc to be the same?Segments A B and BCD of beam A BCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of SO N/m acts on EC. A concentrated moment is applied at joint D. (a) Find reactions at supports A, C, and D. (b) Find internal stress resultants N, Y, and Mat x = 5m. (c) Repeat parts (a) and (b) for die case of the roller support at C replaced by a linear spring of stiffness kr™ 200 kN/m (see figure).Solve the preceding problem for a W 250 × 89 steel column having a length L = 10 m. Let E = 200 GPa.
- A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A linearly varying distributed load with peak intensity q0acts on the beam, (a) Find peak intensity q0if the deflection at joint B is known to be 0.18 in. Assume that modulus E = 30,000 ksi. (b) Find the location and magnitude of the maximum rotation of the beam.A simple beam AB supports two concentrated loads P at the positions shown in the figure. A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 10 mm, L = 6m, E = 200 G Pa, and I = 198 x 106 mm4, calculate the magnitude of the loads P so that the beam just touches the support at C.
- 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.A square wood platform is 8 ft × 8 ft in area and rests on masonry walls (see figure). The deck of the platform is constructed of 2-in. nominal thickness tongue-and-groove planks (actual thickness 1.5 in.; sec Appendix CL) supported on two S-ft long beams. The beams have 4 in. × (i in. nominal dimensions (actual dimensions 3.5 in. × 5.5 in.). The planks arc designed to support a uniformly distributed load n ( lb/ft" i acting over the entire top surface of the platform. I be allowable bending stress for the planks is 2400 psi and the allowable shear stress is 100 psi. W ben analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over the top surfaces of the supporting beams. (a) Determine the allowable platform load Mr. (lb/ft2) based upon the bending stress in the planks. (b) Determine the allowable platform load if-. (lb/ft-) based upon the shear stress in the planks. (c) Which of the preceding values becomes the allowable load alolow on the platform? Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams.A beam A BCD rests on simple supports at B and C (see figure). The beam has a slight initial curvature so that end A is 18 mm above the elevation of the supports and end D is 12 mm above. What moments Mtand M^, acting at points A and Dtrespectively, will move points A and D downward to the level of the supports? (The flexural rigidity EI of the beam is 2.5 X 106 N m2 and L = 2.5m).
- A simple beam thai is IS ft long supports a uni¬form load of intensity a. The beam is constructed of two angle sections, each L (1 × 4 × 1/2, on either side of a 2 in. x 8 in. (actual dimensions! wood beam (see the cross section shown in the figure part a]. The modulus of elasticity of the s I eel is 10 limes that of the wood, (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi. respectively, what is the allow atile load a t. A olc. Disregard the weight of the beam, and see Table F-5(a) of Appendix I ' for I lie dimensions and properties of the angles. (b) Repeal partial if a I in. 10 in. wood Hange tactual dimensions) is added i see figure pallhi b).A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assume that E = 190 GPa.Beam ABC is fixed at support A and rests (at point B) upon the midpoint of beam DE (see part a of the figure). Thus, beam, ABC may be represented as a propped cantilever beam with an overhang BC and a linearly elastic support of stiffness k at point B (see part b of the figure). The distance from A to B is L = 10 ft, the distance from B to C is L/2 = 5 ft, and the length of beam DE is L = 10 ft. Both beams have the same flexural rigidity EI. A concentrated load P = 1700 lb acts at t lie free end of beam ABC. Determine the reactions RA, RB+ and MAfor beam ABC. Also, draw the shear-force and bending-moment diagrams for beam ABC, labeling all critical ordinates.