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Use the finite element method to determine the nodal displacements in the plane truss shown in figure (a). The temperature of element 2 is 200°C above the reference temperature, that is,
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Introduction To Finite Element Analysis And Design
- (Solid Mechanics) This finite element model is composed of 4 linear bar elements, each with a cross section of 10 mm² and material properties (E = 6 GPa, v=0.3). A weight of 200 N is applied and the nodes are named as shown below. (1) Compute the reaction forces. (2) What are the reaction forces when the weight is tripled to be 600 N? Find the solution without repeating the FEA. Explain why you can get the quick answer.arrow_forwardThe dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.arrow_forwardConsider the following spring system. 直一 m, 2 with spring constants c = 5 Assume down is the positive direction. Write the elongation matrix A = Write the stiffness matrix K =arrow_forward
- A string is stretched horizontally, and one end is connected to the tip of a mechanical oscillator. The other end extends over a pulley and supports a total hanging mass of M. The string is L = 0.6 meters long, from the point of attachment to the oscillator to the point of contact with the pulley. a Calculate the tension required for the case shown. Where T =JuAf /2 f= 50 Hz u = 3*10-4 kg/marrow_forwardshboard Events My Courses This course EHide blocks Question 6 The following figure represents a bar problem in static equilibrium and the related linear finite element model (The bar is modeled by one linear element). The bar is made of steel with modulus of elasticity E = 200 GPa and it has a length of 1 m and a cross-sectional area A = 10 cm?. If the bar is fixed at one end and subjected to a uniform distributed load of intensity w = 1 kN/m and a concentrated force F = 5 kN at its free end as shown, what would be the displacement at global node 2? Not yet answered Marked out of 15.00 P Flag question 1 kN/m F-5 KN L=1m 2 1229 AM O a d ENG 4/30/2021 re to search 近arrow_forwardTwo concentric springs of equal lengths are placed in an assembly shown below. A force P is applied against the plate above. Select all equations among the choices that hold true. No partial points. Note: P is force, ō is change in length. Pouter + Pinner = P Pouter = Pinner = P Souter = dinner douter #dinner P -Wwwandarrow_forward
- Two rods vertically connect beams AB and CD as shown in the figure. Point A is fixed supported while point D is hinged connected. If the rod on the right is heated by 18 degree Celsius, 2 m 2 m- B 2m Use E = 200 GPa, linear of coefficient expansion = 11.7 x 10 per degree celsius and A = 4500 mm2 Compute for the deformation of the right rod in mm. Select the correct response: 0.0234 mm 0.0842 mm 00468 mm 0.117 mmarrow_forwardQ1. Please answer the following questions: consider the system shown in Figure Q1a. Assume that the cantilever beam has length L, is massless and is attached to the wall as shown in the figure. A mass M is attached at the tip and is supported by a spring with stiffness K. The spring is also connected to the midpoint of a massless pinned-pinned beam of length 2L, as shown in the figure. Assume E = 200 GPa, M = 10 kg, area moment of inertia of the two beams as I = 1000 mm³, C = 200 kg/s and L= 1 m. Determine the value of the spring stiffness K (in N/m) for the system to be critically damped. M E,I KL E,I Larrow_forwardTruck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.15 x 105 N/m, the helper spring constant is 3.80 x 105 N/m, and y₁ = 0.500 m. m Need Help? Truck body Main leaf spring (a) What is the compression of the leaf spring for a load of 4.90 x 105 N? Read It -"Helper" spring Axle (b) How much work is done in compressing the springs?arrow_forward
- H= 55mm A= 40mm R1 R2 B= 55mm C= 50mm R1=13mm H P=2000 N R2= 15mm A B Figure QI: A rectangular plate with holesarrow_forwardb) A steel column AB is fixed at its base and is braced at its top by cables as shown in Figure Q4 (b). This column has moment of inertia of l= 113 x 10° mm and ly36.6 x 10° mm". If the length of column is 8 m, examine the allowable load, P that can be resisted by this column before it either begins to buckle or yields. Take modulus of elasticity, E = 200 GPa, yield stress, a, = 250 MPa, and factor of safety, F.S= 2.0. Given the cross-sectional area of this column is 12,700 mm. If the applied load P exceeded the allowable load, suggest TWO (2) methods of strengthening for this column. (CO2-PO2)(C6) !!arrow_forward4. The section of peripheral nerve in neck is under tension of force F=0.18N due to sudden movement that causes large deformation of the nerve. As shown in the below figure, the nerve consists of two structures: fascicles and epineurium with modulus of elasticity of Efascicles=Ef2=MPa and Eepineurium=Ee 0.5MPA. Note: you can model all three fascicles as one part with the cross section of Afascicles=A=3((200×10“)²)= 12 n x10*. Use compatibility condition (fascicles and epineurium deform together) b) Determine the deformation of the peripheral nerve (L=50mm). Note: make sure to include the entire solution including the internal forces in fascicles and/or epineurium. d) If the nerve can tolerate strain up to 0.2, determine if the nerve got injured or not due to this sudden movement Peripheral nerve Under tension AF 50mm Fascicles F 400μm Epineurium 400um 400µm Cross section of peripheral nerve 1000um (Answer: 8 9.4mm )arrow_forward
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