Calculate the support reactions of the beam in Figure 1 supporting a parabolic load. Consider the axis system as shown in the figure. Calculez les réactions d'appuis de la poutre de la Figure 1 supportant une charge parabolique. Considérez le système d'axes comme indiqué sur la figure. A 7m 1000N/m 500 N/m 7m D www₂+kx³ 8m 2024 N/m B

Calculate the support reactions of the beam in Figure 1 supporting a parabolic load. Consider the axis system as shown in the figure. Calculez les réactions d'appuis de la poutre de la Figure 1 supportant une charge parabolique. Considérez le système d'axes comme indiqué sur la figure. A 7m 1000N/m 500 N/m 7m D www₂+kx³ 8m 2024 N/m B

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.25P: The main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic...

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Q.2] Find the reactions at point A for the structure shown in the figure. z kN/m ++ A 10m 5m 20 KN #
The main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform in intensity along the horizontal. Therefore, represent the central region AOB of one of the main cables (see part b of the figure) as a parabolic cable supported at points A and B and carrying a uniform load of intensity q along the horizontal. The span of the cable is L, the sag is /i, the axial rigidity is EA\ and the origin of coordinates is at mid span. (a) Derive the following formula for the elongation of cable AOB shown in part b or the figure: (b) Calculate the elongation 5 of the central span of one of the main cables of the Golden Gate Bridge for which the dimensions and properties are L = 4200 ft,h = 470 ft, q = 12,700 lb/ft, and E = 23,300,000 psi The cable consists of 27,572 parallel wires of diameter 0.196 in. Hint: Determine the tensile force Tal any point in the cable from a free-body diagram of part of the cable; then determine the elongation of an element of the cable of length ds: finally, integrate along the curve of the cable to obtain an equation for the elongation £.
Determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method fir these problem Figure P3-10 20 3 60 kN E = 210 GPa A = 3 × 10*m² 3 m 20 3 m 2.
The weight of the linkage AB =BC= 20KG .Find the force acts on bar BC -875 mm- B 400 625 mm 30 60 F = 800 N
y - axis X- axis ath F: Figure (1) Figure (2) 250 N 36.87 D 60 ar 500 0.5 m 1 m 0.2 m 1 m 300 N 1 m Figure (3) Figure (4) Q1] Answer the following questions: For figure (1): The object is subjected to two forces F1 = 25 N, and F: = 50 N. Set x = 30°, e = 45°, and B = 30°. 1- What is the magnitude of the resultant of these two forces? a) 39.4 N b) 80.IN c) 41.6 N d) 69.8 N e) 71.4 N f) 46.1 N g) None of them 2- What is the direction of the resultant force measured counterclockwise from the positive x-axis? a) 14.3° b) 392.6° c) 9.2° d) 322.9° e) 6.8° ) 344.2° g) None of them For figure (2): The arm in is subjected to five forces as follows: F1 = 135 N, F2 = 98 N, F3 = 210 N, F = 56 N. If the y - direction resultant force is 144 N, and oc = 40°, 0 = 50° , B = 70°: 3- What is the magnitude of the force Fs? a) 318.4 N b) 99.IN c) 151.6 N d) 36.5 N f) 18.8 N e) 111.2 N g) None of them 4 - What is the magnitude of the resultant of these five forces? a) 269.4 N b) 157.IN c) 354.5 N d) 280.6 N…
4:50 Step 1 of 7 Done Consider the following diagram showing a rectangular steel bar supporting two overhanging loads: y 300 300 500 400 N 400 N В Bar, b=6, h=32
- For the frame of the figure:a) Draw up the free-body diagram of the three elements that compose it, for the BCD element, set theequilibrium equations (summation of forces along the longitudinal axis "t" and the perpendicular "n", as well as thesummation of moments at point C). Note: it is not required to evaluate the reactions or the charges on the elements.b) Make a cut at the midpoint between C and D and “CALCUE” the internal loads numerically.
The simply supported beam is subjected to the loads as described in the figure and parameter table. Neglecting the thickness of the beam, calculate the horizontal and vertical support reactions at A and B. F A B C -4*- L3 parameter value units L1 L2 L3 ft 4 ft 6 ft theta 65 F 200 lb M 500 lb-ft For the answers, take to the right and up to be the positive directions. The support reaction at A in the z direction is NAz- lb The support reaction at A in the y direction is NAy- lb The support reaction at Bin the z direction is NB= lb The support reaction at Bin the y direction is NBy= lb
Dont Copy from chegg need step wise step and correct answers only Use Finite Elemental method Assemble element stiffness matrix for the member of plane frame shown in Figure is oriented at angle 30° to the x-axis. Take E= 200 GPa, I=4 × 106 m* and A = 4 × 10-³m². ,if it 5m 30
Two steel wires support a moveable overheadcamera weighing W = 28 lb (see fgure part a) usedfor close-up viewing of field action at sporting events.At some instant, wire 1 is at an angle α = 22° to thehorizontal and wire 2 is at angle β = 40°. Wires 1and 2 have diameters of 30 and 35 mils, respectively.(Wire diameters are often expressed in mils; one milequals 0.001 in.)(a) Determine the tensile stresses σ1 and σ2 in thetwo wires.(b) If the stresses in wires 1 and 2 must be the same,what is the required diameter of wire 1? (c) To stabilize the camera for windy outdoor conditions,a third wire is added (see figure part b).Assume the three wires meet at a common pointcoordinates (0, 0, 0) above the camera at theinstant shown in figure part b. Wire 1 is attachedto a support at coordinates (75 ft, 48 ft, 70 ft).Wire 2 is supported at (270 ft, 55 ft, 80 ft).Wire 3 is supported at (210 ft, 285 ft, 75 ft).Assume that all three wires have a diameter of30 mils. Find the tensile stresses in all…
Consider a rigid rod that is subjected to two external forces and is fixed to the wall at A. The following figure displays the rod's free body diagram. Answer the following questions using the provided FBD. 2.5 -1 1 3.5 The support reaction at A along x-axis (A) is The support reaction at A along y-axis (Ay) is The support reaction at A along z-axis (A.) is The Moment reaction at support A about x-axis (Ma) is -1 n 1 0 -2.5 2.5 -1 -3.5 5.5 -5.5 -0.5 0.5 A₂ Mx4 Z M₂ My KN KN KN 3m KN.m 1m 1 KN 2m 2.5 KN
The rod is supported by ball-and-socket joint D and cables AB, AC. Suppose that F = 800 N and x = 6 m. (Figure 1) Figure 1 of 1 3 m 2 m 30