A beam is loaded as shown in the figure below. The reaction R2 is equivalent to Blank 1 kN. | 20 kN 40 kN 2 m W= 20 kN/m 2 m 4 m R2 R1
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- A weight W = 4500 lb falls from a height h onto a vertical wood pole having length L = 15 ft, diameter d = 12 in., and modulus of elasticity E = 1.6 × 106 psi (see figure). If the allowable stress in the wood under an impact load is 2500 psi. what is the maximum permissible height h?.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?At a full d raw, an archer applies a pull of 130 N to the bowstring of the bow shown in the figure. Determine the bending moment at the midpoint of the bow.
- A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)Two pipe columns (AB, FC) are pin-connected to a rigid beam (BCD), as shown in the figure. Each pipe column has a modulus of E, but heights (L1or L2) and outer diameters (d1or different for each column. Assume the inner diameter of each column is 3/4 of outer diameter. Uniformly distributed downward load q = 2PIL is applied over a distance of 3L/4 along BC, and concentrated load PIA is applied downward at D. (a) Derive a formula for the displacementTwo 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?
- Please help us in this sample problem sets we can't solve it please this is really not a graded question For the beam loaded as shown in the figure 3, determine the vertical reaction at B in kN using any Geometric Method. Consider 250 mm x 400 mm (b x h) mm section and E = 100,000 MPa. in 3 decimal places a=6.1 m, b=4.1 kN/m, c=14.1 kN/m, d=24kNQuestion 1) in FIG loading condition is given beam F force F = 65 kN , first distributed load W 1 = 41 kN / m , w 2 distributed load w 2 = 51 kN / m , θ angle θ = 48 ° and L length of L = 5 m . According to this; Question 1-A) B at the point y direction ( B y ) Determine the support reactions. (Enter yourresultwithout writing kN units.) Question 1-B) to the point in y direction ( A y ) Determine the support reactions. ( Enter yourresult without writing kN units.) Question 1-C) to the point in x direction ( A x ) Determine the support reactions. ( Enter yourresult without writing kN units.)A uniform, 7.5-m-long beam weighing 6490 N is hinged to a wall and supported by a thin cable attached 1.5 m from the free end of the beam. The cable runs between the beam and the wall and makes a 40° angle with the beam. What is the tension in the cable when the beam is at an angle of 30° above the horizontal?
- Find the support reactions, draw the free-body diagram of the beams that shows the reactions and the equivalent loadings of the beams. Show the computation where Mo = 10,800 kip-in, P = 1205 lb, F = 1.25 kip, Wa = 2750 lb/ft, Wb = 1.055 kip/ft, a = c = 7 ft, b = 12 ft.Calculate the vertical shear stress (N / cm2) at point A in the critical section of the beam below whose load and section is given? The cross section is symmetrical with respect to the y-axis. (Point A is on the body, point B is on the x-axis and point C is on the header.) (Q = 6000 N / m, P = 60000 N, L = 3 m, b = 50 cm t = 5 cm, h = 20 cm)The beam shown below is made of 310 UB 46.2. What is the value of maximum compressive stress in this beam in MPa? L = 3.3 m P = 32.6 kN = 40.9 Degrees UB310: Section height= 307 mm, Section Area = 5930 mm^2, I = 100 *10^6 mm^4.