sample engineering analysis problems

7/28/2019 sample engineering analysis problems

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ANNA UNIVERSITY : CHENNAI 600 025

M.E./M.Tech. DEGREE PRACTICAL EXAMINATIONS MAY/JUN 2012.

ED9225 Analysis and Simulation Laboratory

(M.E. Engineering Design and Computer Aided Design)

Second Semester

(Regulations 2009)

Time: 3 Hours Maximum Marks: 100

1 Build and mesh a half symmetry solid model of the solid bearing shown in Fig. 1. Use

both free meshing and sweep meshing techniques. Dimensions of the bearing are to be

taken suitably. The bearing is be fixed and applied with the load due to rotation of the

shaft and the self weight acting on the bearing. Take suitable loads and analyze the

bearing based on its strength. Bearing material properties are to be suitably selected.

Marks are to be considered based on proper material selection, application by selecting

proper load conditions.

(100)

Fig. 1


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2 Build a solid model of the spindle base shown in Fig. 2. Use both free meshing and

sweep meshing techniques. The bracket is be fixed and applied with the load due to

rotation of the spindle and the self weight acting on it. Take suitable loads and analyze

the spindle base based on its strength. Spindle base material properties are to be suitablyselected.

Marks are to be considered based on proper material selection, application by selecting

proper load conditions.

3 Determine the end deflection and bending stress of a steel cantilever beam shown in Fig.

3 which can be modeled as 2D problem. Also analyze the beam based on its strength

using von Mises stress criteria. Take the properties of steel for the analysis.

(100)

Fig. 2

Fig. 3


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4 Analysis of the steel structural support (towel rod) shown in the Fig. 4. The bracket is

fixed at screw holes. The thickness of the bracket is 3.125 mm. Modulus of elasticity

E=200 GPa. The bracket is loaded at one point in the centre of the large hole. The load is

2000 N. Plot deformed shape. Determine the principal stress and the von Mises stress.Remodel the bracket without the fillet at the corner, and

see how principal stress and von Mises stress change. Use Solid 8 node element.

Fig. 4

Note: All dimensions are in mm


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5 Model the bracket using a solid 8 node plane stress element. The thickness of the bracket

is 3.125 mm. Assume the structure is made of steel with modulus of elasticity E=200

GPa. The bracket is fixed at its left edge. The bracket is loaded uniformly along its top

surface. The load is 2625 N/m. Plot deformed shape. Plot the principal stress and the vonMises stress. Remodel the bracket without the fillet at the corner, and see how principal

stress and von Mises stress change. (Refer Fig. 5)

(100)

6 Model the plate shown in Fig. 6 and determine the stresses, strains and displacements.

The plate is made of steel with modulus of elasticity E=200 GPa, Poissons ration = 0.25.

Use the symmetry conditions to solve this problem, by considering only the top rightquarter of the plate. (Refer Fig. 6)

Fig. 5

Fig. 6


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7 A bridge is constructed of steel members, all of which have a cross-sectional area 3.0E-4

m2; modulus elasticity = 200 GPa; Circled numbers are nodes. Estimate how much the

point 1 moves horizontally because of this loading. Also determine the nodal

displacements and element stresses.(Refer Fig. 7)

(100)

8 Find the stresses and deflections of a steel L shaped beam with one end cantileveredand a point load at the other end. Use beam element in modeling this problem.(Refer Fig.

8)

(100)

Fig. 7

Fig. 8


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9 A wall of an industrail oven consists of three different materials, as shown in Fig. 9. The

first layer is composed of 5 cm of insulating cement with a clay binder that has a thermalconductivity of 0.08 W/m-K. The second layer is made from 15 cm of 6-ply asbestos

board with a thermal conductivity of 0.074 W/m-oK. The exterior consists of 10 cm

common brick with a thermal conductivity of 0.72 W/m

2

K. The inside wall temperatureof the oven is 200oC, and the outside air is 30

oC with a convection coefficient of 40

W/m2-K. Determine the temperature distribution along the composite wall.

(100)

10 Hot water flows through pipes that are embedded in a concrete slab. A section of the slabis shown in Fig. 10. The temperature of the water inside the pipe is 50

oC, with a

corresponding heat transfer coefficient of 200 W/m2-K. With the conditions shown at the

surface, use any analysis software to determine the temperature of the surface. Assumingthat the heat transfer coefficient associated with the hot-water flow remains constant, find

the water temperature at which the surface freezes. Neglect the thermal resistance

through the pipe walls.

(100)

Fig. 9

Fig. 10


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11 In order to enhance heat transfer rates, the inside surface of a tube is extended to form

longitudinal fins, as shown in the Fig. 11. Determine the temperature distribution inside

the tube wall, given the following data:r1 = 5 cm; r2 = 5.6 cm; t= 2 cm H= 2 cm; k= 400 W/m-K; Tinside = 80

oC; hinside=150 W/m

2-

K; Toutside=15oC; houtside=30 W/m2-K

(100)

12 Consider the 30 cm long aluminum rod shown in Fig. 12. The rod has a modulus of

elasticity E=70 GPa and density = 2700 kg/m3

(self-weight = 5.4 kg/m). The rod is fixedat one end, as shown in Fig. 12. Find the natural frequencies of the rod using the three-

element model.

(100)

13 Determine the first two natural frequencies of the simply supported beam with

rectangular cross section shown in Fig. 13.

(100)

Fig. 11

Fig. 12

Fig. 13


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14 Consider the frame shown in Fig. 14. The frame is made up of steel, with E= 200 GPa.The cross-sectional areas and second moment of area for the members are shown in Fig.

The frame is fixed as shown. Find the natural frequencies using the three-element model.

(100)

15 Fig. 15 shows a spherical shell resting on a square platform subjected to a single central

concentrated load. Analyse the shell using four and eight noded shell elements. P = 10kN; E=68.95 GPa; Poissons ratio = 0.3; R=2540 mm; a = 1569.8 mm.

(100)

Fig. 15


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16 The straight edges of cylindrical shell shown in Fig. 16 are hinged and curved edges are

free. Analyse the shell using four and eight noded shell elements. E = 3.10275 GPa; t =12.7 mm; Possions ratio 0.3; R= 2540 mm; L = 508mm; P=0.8859 kN; = 0.1 radian

(100)

17 Calculate the temperature distribution in a square plate of 30 cm side as shown in Fig. 17.Using (i) 8 linear triangular elements, (ii) 2 six noded quadratic elements (iii) 4

rectangular elements. Compare the centre temperature in all three cases

(100)

18 A long thick walled cylindrical pressure vessel of circular cross-section (ID= 20 cm andOD= 40 cm) is subjected to a temperature of 150

oC on the inside surface. Determine the

temperature distribution in the cylinder thickness if the outside is exposed to ambient.

(h= 0.2 W/m2-K, T=30

oC, k=40 W/m-K).

(100)

Fig. 16

Fig. 17

Fig. 17


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19 Determine the temperature distribution in a spherical pressure vessel (ID= 20 cm, and

OD=40 cm) is subjected to a temperature of 150oC on the inside surface. Determine the

temperature distribution in the sphere thickness if the outside is exposed to ambient. (h=0.2 W/m

2-K, T=30

oC, k=40 W/m-K).

(100)

20 Determine the temperature distribution in a machine frame with T cross section as shownin Fig. 20. h=0.2 W/m

2-K, T=30

oC.

(100)

Fig. 20

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sample engineering analysis problems