Required information Water in a channel is retained by a gate with 10 cm width (into the plane of the figure). The gate is supported by a pin at B and by frictionless contact with the bottom of the channel at A. The gate is outfitted with a prewound torsional spring at B with stiffness k+= 75 N-m/rad. d 30 cm C NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. ces The vertical wall BC is fixed in position. If the gate has negligible weight, determine the amount o the spring must be prewound so that the gate will begin to open when d= 60 cm. (Round the final answer to four decimal places.) The amount o the spring must be prewound is
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- A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)The first figure gives spring force Fx versus position x for the spring-block arrangement of the second figure. The scale is set by Fs = 190 N. We release the block at x = 13.0 cm. How much work does the spring do on the block when the block moves from x; = +9.0 cm to (a) x = +5.0 cm, (b) x = -5.0 cm, (c) x = -9.0 cm, and (d) x = -11.0 cm? -x (cm) -2 -1 -F, X* = 0 Block attached to spring F = 0 (a) x positive F, negative F (b) x negative F, positive (c)Determination of vertical displacement of Mid-Term Project pipe assembly Find the vertical displacement at position C in the figure. 800 mm Pipe inner diameter: 40 mm, Pipe outer diameter: 60 mm Material: A-36 Steel 600 N B. -By the force 600N, the AB part of the pipe is subjected to bending and torsional loads. BC part is subjected to bending load. -The energy equation by this load is as follows. Energy equation by torsional load: 400 mm T²dx (U), = 2GJ Problem: Energy equation by bending load a) First, draw a free body diagram and the AB part Of the bending/torsional load of the BC and Derive the bending load equation. So M²dx (U) = 2EI By applying it to the high energy formula, Save energy and make it the same as external energy Release to find the vertical displacement. -The sum of the internal energy of 2 energy is as follows. U=U: +Ub b) Creo modeling and structural analysis -Due to energy conservation, the sum of the internal energy U is the external due to the load 600 NGet the…
- View In: English v In the below arrangement, all the string and pulleys are massless and the inclined plane is frictionless. At t 0, spring is unstretched and a constant force F = mg starts to act. Find the maximum extension in the spring. (Assume incline to be sufficiently long). Question 11 F=mg Options 8mg 1. O k 4 mg 2. O 5 k 8 mg 3. O 15 k 8mg 4. O 3kSolve it correctly please l will rate accordingly.OP •C h W The man in the diagram is trying to move a large box by pushing on it with a force, P. The box weighs 300 N and its centre of gravity is located in the centre of the box (point C). Given: a = 1.8 m b = 0.8 m h= 0.9 m What is the minimum force that will cause the box to tip? Please include the unit ("N") within your answer and round to 3 significant figures (e.g. if the calculated answer was 55.562 Newtons please input: 55.6 N). Answer: What is the minimum coefficient of static friction that will permit tipping to occur? Please do not include the unit s (as there are none) within your answer and round to 3 significant figures (e.g. if the calculated answer was 55.562 please input: 55.6). Answer:
- Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of active turns. (b) Find the spring rate. Assume the material is A227 HD steel. (c) Find the force Fs required to close the spring solid. (d) Find the shear stress in the spring due to the force Fs. -4클 in 2 in -e 0.135 inMachine Desi... 5- Consider a system of two springs, with stiffnesses k, and k2 arranged in parallel as shown in in the below figure. The rigid bar to which the two springs are connected remains horizontal when the force F is zero. Determine the equivalent spring constant of the system that relates the force applied (F) to the resulting displacement (x) as: F = Kex Hint: Because the spring constants of the two springs are different and the distances L1 and L2 are not the same, the rigid bar will not remain horizontal when the force F is applied F PDF MECHA213 MECHA213 Week 9- Parts-2- PDE 00000000000 000000000000Ask Copilot + เท (b) of 7 A Question 5 A steel bar AD shown in Figure Q5 has a cross-sectional area, A = 250 mm² and is loaded by forces P₁ = 7500 N, P2 = 5300 N and P3 = 5800 N. www A 1500 mm 600 mm 900 mm P₁ →P₂ P3 B C D Figure Q5: A steel bar ABCD a) Assuming that the modulus of elasticity is E = 200 GPa, calculate the overall change in length of the bar stating whether it is elongation or shortening. b) Calculate the new value of P3 such that bar ABCD does not change in length provided that forces P, and P, remain unchanged? c) If P₁ = 7500 N. P₂ = 5300 N and P 5800 N are applied as shown and the cross- sectional area of segments BC and CD remain 250 mm², what revised cross-sectional area for segment AB will result in no change of length of bar ABCD. 17°C P
- You have to design a structure of a thin rectangular beam supporting a lamp with a mass of 20 kg as shown in Figure 1. The beam is fixed on the wall with modulus of elasticity of 200 GPa, length, I = 1.5 m, thickness, t= 2.3 cm and width, w = 3.2 cm. a) Derive the general solution to determine the displacement of the lamp for time t. b) Evaluate the maximum acceleration in vertical direction measured at the lamp if a gust wind initially excited the beam with initial displacement x = 0.1 cm and initial velocity v = 0 m/s. Ignore the mass of the beam. c) The procurement manager offers another option for the material of the beam. The material has a modulus of elasticity of 100 GPa. Discuss the impact of changing to this material in terms of vibration response. Lamp Figure 1 Wall2. Figure 1 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant (one side only. i.e., three springs) of the suspension if each of the three helical springs is made of steel with a shear modulus G = 80×10° N/m? and has five effective turns, mean coil diameter D = 20 cm, and wire diameter d = 2 cm. BUCKEYE KOR Figure 1. Parallel arrangement of spring in a freight truck.See the attached image1) A long rod in the shape of a circular cone is rotating with constant angular velocity c about an axis located at the left end of the rod as shown in the figure below. The bar has length L, major and minor diameters D and d, respectively, and its material has linear elastic behavior with modulus of elasticity E. The values of the problem parameters must be defined by the student a) From the balance of a differential member of the bar, derive the differential equation of balance for the bar. Solve the equation analytically to obtain the bar displacement field, U(X). Give the expression for the displacement at the free end of the member. b) Implement a computational code in MATLAB (or any other software) to solve this problem with "n" two-node bar finite elements. c) Run different simulations by increasing the number of finite elements in each simulation. At each simulation, obtain the displacement of the free end of the member. Graphically compare your results…