The embedded cone of height h and circular base (radius R) in the figure is subjected to the strut loads F at its free end. Draw the graphs of the axial force Vz (z), forces of shear Vx (z) and Vz (z), bending moments Mx (z), My (z), and torsional moment Mz (z). h
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- 3. For the structure carrying a uniform load of 4 kN/ m, compute the internal axial force, shear force, and Answer: Vc = 2 kN, Mc = 4 kNm, Nc = 24 kN bending moment at point C in the beam. 4 kN/ m |C B 3 m 2 m -2 m 2 mFor the beam shown, the magnitude of the concentrated load is P = 21 kN, the magnitude of the couple is MB = 210 kN-m, and the beam lengths are a = 4.3 m and b = 12.9 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. MB b a Answer: kN max kN-m Mmax i %3D B.Suppose beam of the list on a comer A and against a wall at the point B( No friction any surfaces) The Beam angle 30 degrees. The force between the beam and the Conner (at point A) is 10N, Calculate X Component of force this force given the coordinate axes defined in the Figure. Suppose a beam of lengh L sts ona comer Aend againat a wal at point 8 (Aume na tion on any sufacen). The bean mtnde degrees with the comer e shown in the gun Asune he force betenen the bean and the comer a pont Ajis 10N, cae ha bron given the coordeatn auna dafred in the fgum II. Calculate all the Support reaction at B. For the purposes of Submission Divide all your force Values by q0*a (ie. Fa/(q0*a), thereby yielding a unitless number 90 D E 2a B.
- points A, B and D, respectively, as shown in the figure. A uniformly distributed loac of 4 kN/m acting vertically downwards extends for a length of 4 m between point A and C. Page 3 of 6 5 kN 10 kN 4 kN/m A 2 m 2 m 1 m 2 m 30 kN Figure Q2: A cantilever beam 2.1. Calculate the magnitudes and directions of the support reaction force RE and bending moment ME and at point E. 2.2. Establish the equations of shear forces (SF) and bending moments (BM) for each span of the beam. 2.3. On the basis of the established equations for SF and BM for the cantilever beam, construct the shear force and bending moment diagrams along the entire span of the beam. 2.4. Determine the magnitude and position of the maximum bending moment acting on the beam. 2.5. Calculate and show the positions of the points of contra-flexure (PCE)A storage rack to hold the paper roll. Find force reactions and draw the shear and moment diagrams for the mandrel that extends half of the roll. Use singularity functions for this problem. Givens stanchion paper roll Density=984 kg/m^-3 OD=1.5 m ID=0.22 m L=3.23 m Density=mass/volume So W=(density*volume)*gravity Volume of hollow cylinder= (pi/4)(OD^2-ID^2)*Length of cylinder Length of mandrel=1/2 of L=>1.615 m mandrel base Assumptions: The storage rack is acting with a fixed support With a distributed load of "w" where w is the weight distrubutedA bending moment due to load applied on the head of femur bone which is offset by a distance (x= 50 mm) off the bone center for a person standing in relaxation.His weight is 70kg.1. Find the maximum bending stress induced due to the weight and compare it to the maximum comp. stress. R= 20mm t= 12mm.2. Draw the expression for the second moment (I) basing on min-wall hollow cylinder.3. Find the principal stress σ1, σ2, τx1y1, and the angle θp for point C and D shown.
- Numerical problem 3.2: The beam on the figure is subjected to a concentrated force. The length (L1) of the beam is 3 m. The distance from the concentrated force to the left end L2=2m. Assume Ax = 100N, Ay 200N and F = 120N. = Task: Determine the resultant internal forces and moment of a point on the right end of the beam (be careful of the + and - values). N = V = M = A, X A N N Nᵒm L2 L1 F V M NA simply supported beam is loaded as shown below. The distributed load has a constant value in the first region with a value of w = 18 kN/m. In the second region, the distributed load linearly decreases from 18 kN/m to 10 kN/m. In the third region, the distributed load has a constant value of v = 10 kN/m. What is the moment generated by the distributed load about point A in kN-m? 1m film W A 1m 1m V BProblem 3: Inputs: a = 12 in b = 12.75 in Use the scalar approach (not the cross product). The moment exerted by the weight about point E is 244 lb-in. Table not required, but feel free to use it if you like (a) What is the magnitude of the weight? (round this answer to the nearest whole number) (b) What is the moment exerted by the weight about point S? Problem 4: Inputs: a = 1.2 m b = 0.5 m P = 50 N We are going to put this system in equilibrium. We haven't talked much about equilibrium yet, but that's okay. In order for a body to be in equilibrium, we need the sum of the forces to equal zero, and the sum of the moments about any point to equal zero. S A Table not required, but feel free to use it if you like a FA 30° a E b 40° P b (a) Let's start by summing moments about point A. Determine the magnitude of FB such that EMA = 0. In other words, compute FB such that the net moment about point A is zero. (b) Now let's repeat the process at B. Sum moments about point B and compute the…
- The figure below shows a cable supporting a beam. In addition there is a vertical force acting on the right end of the beam. L Calculate the normal force N(x), the shear force V (x), the moment M(x) as a function of the parameters L and f. (Partial Answer: N(x) = 2f for 01 ft 3 ft B 3 ft 3 ft (-9002 + 800f + 1000k) Ib.ft 6 ft 3 ft E (-300î – 400ĵ + 100k) Ibs The applied force at point E and the applied couple moment at point D are shown in the figure. Complete/calculate the following: (Where applicable, express the results as the (x, y, z) components of a Cartesian vector) 1. Draw the free-body diagram (FBD), showing the appropriate reaction forces and/or moments at the supports. (You must show the reactions in their component form i.e. show RAx, MRAX etc. on the FBD). Note: The support at point A is not able to resist a moment about the 'X' axis but is able to resist a force in this direction. 2. The unit vector ÅBc 3. The position vector Tɛ/a 4. The position vector īB/A 5. ME, which is the moment vector at point A due to the force acting at point E 6. M", which is the moment vector at point A due to the tension force acting at point B. Write the vector in terms of the unknown tension magnitude T' 7. Set up the equations of equilibrium (You must show…A folding tray mechanism is attached to a wall as shown. Find the internal forces and bending moment in the lower support arm at section s-s, located midway between points B and E, when a force of F = 250 N is applied at an angle of 0 = 32°. A B. 's E D k a- b – Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 17 cm b 26 cm 35 cm hi 25 cm h2 18 cm The internal axial load at section s-s is A = N. The internal shear load at section s-s is V = N. The internal bending moment at section s-s is M = N-m.SEE MORE QUESTIONS