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A diving board is modeled as cantilever beam with end load as shown ii. At the...
Problem Statement: Two designs for a diving board are shown in the figures below. A diver umping at the end of the board exerts a force of 1500N. Assume in design (a) the strap provides a simple support, while in design (b) the rigid clamp block provides a cantilever support. Assume the board is 60 cm wide. 1500 N Strap provides 2.0-- 3.0 simple support Diving board Pipe roller (a) 1500 N Rigid clamp block 2.0 m- -3.0 m Diving...
Problem 2 (30 points): Bored at the swimming pool and without enough solid mechanics to occupy their minds over the summer, engineering students analyze a diving board made from a 50mm x 300 mm wood plank. The diving board is held down at end A by anchor bolts that can be considered as a pinned support. a) Draw the Shear and bending moment diagram for the beam (10 points) b) What maximum permissible load, Pmax, can be exerted on the...
Consider a cantilever beam of length L with a fixed vertical load, Po, applied at a random distance, z, fron the fixed end of the beam. Assumeェis uniformly distributed, fx (z) = CIH (z-L/2)-H(z-L)]. (a) What is C? (b) What is the expected value of the bending moment at the root of the cantilever? (c) Suggest two possible modes in which the structure could fail to perform properly under the specified load. (d) For one of the two failure modes...
3:42 Exit This problem refers to the cantilever beam with a triangular load as shown below. Based on the image of the section FBD (at the bottom), what is the equation for the height of the triangular load as a function of distance from point A (function that should be in the box next to "w(x) ="). 30 / 7777 9 ft sor 30 lb/ 8101bft 135 lb FBD and equilibrium equations to find V6) and Mix) 8101bft CUT 135...
Required Information A cantilever beam experiences a point load at its free end (Point A). The member has a length of L and a rectangular cross section of base b by height h. where p= 3 kN, L = 3 m, b= 9 cm, and h = 20 cm In this part, you will find the beam shear stress at one-fourth of h from the top of the rectangle. First, use the equation Q= A y. The area A is...
engineering mechain Problem-1: (20 points) A cantilever beam is supported by a distributed load, concentrated load and moment as shown in the figure. Use wo= 1 kN/m and L=12 m. Determine the following: a. Write down the equation of shear force and bending moment for the portion of the beam from A to B. b. Draw the shear force diagram for the entire beam c. Draw the bending moment diagram for the entire beam d. What is the shear force...
(a) Figure Q3 (a) shows a cantilever beam which is carry a load P at point C. (1) Sketch the deflection curve of the beam. (2 marks) t (ii) Derive the bending moment deflection, slope deflection and deflection equation at b-b using Double Integration Method. (10 marks) FIGURE Q3 (a) Calculate the maximum deflection. Given: = 10 m a = 3 m P = 25 KN El is constant d 100 mm D (5 marks) 200 mm t6 mm (b)...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
1. The cantilever beam AB of length L shown in Fig.(a carries a uniformly distributed load of intensity wo, which includes the weight of the beam. Equation of the elastic curve is given by the following differential equation Af _irer where M is the bending moment of the beam. it is also given that of the beam and I modulus of Inertia. where E- Modulus of the elasticity v is the deflection of the beam. Compute the maximum displacement of...
The rigid body shown below rotates around a fixed axis at O and position angle 0= 0 when the body is in static equilibrium. Force f(t) is applied to the body as shown below. The mass of the body is 12 kg and O is the center of mass. k=1000 N/m_for the spring. Mass moment of inertia I and damping constant c are to be determined. The plot below shows the response 0(t) when f(t) = 60 N is a...