Mathcad - Spot Questions1

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• 7/31/2019 Mathcad - Spot Questions1

1/5

Computer Programming Skills MathCad Solution by DF Sozinando Student at theVaal University of Technology

Data matrix is extracted from steam table. The columns (from left to right) of the matrix are respectively

1. Pressure in kPa,

2. Temperature in oC,

3. Specific volume dry saturated vg in m3/kg,

4. Specific enthalpy of liquid saturated hf in kJ/kg5. Specific enthalpy of vaporisation hfg in kJ/kg, and

6. Specific enthalpy of dry saturated steam in kJ/kg, and

7. The specific volume liquid saturated vf m3/kg

Write a function that will return the quality of stean for a provided value of the enthalpy

The quality of steam is subcool (h < hf), liquid saturated (h = hf) , wet ( hf < h < hg), dry saturated (h = hg),

superheated ( h > hg).

Write a program that will return the quality of steam for a given value of the enthalpy. Test your program with

vector h at 19 kPa for respective values of h = 2000; 2608; 3000; 200 and 247. Your display will be presented in a

function Quality(x)

ORIGIN 1

Datasup

10

8.80

7.863

7.1045

6.47913

5.95494

18

13.2969

10.5435

8.73473

7.45568

6.50337

14.67

16.67

18.67

20.67

22.67

24.67

8.445

11.445

14.445

17.445

20.445

23.445

:=

Data

5

5.5

6

6.5

7

7.5

8

8.5

99.5

10

11

12

13

14

15

16

1718

19

20

32.9

34.6

36.2

37.7

39

40.3

41.6

42.7

43.844.8

45.8

47.7

49.5

51.1

52.6

54

55.3

56.657.8

59

60.1

28.19

25.77

23.74

22.02

20.53

19.24

18.10

17.10

16.215.40

14.67

13.42

12.36

11.47

10.69

10.02

9.433

8.9118.445

8.027

7.650

138

145

152

158

163

169

174

179

183188

192

200

207

214

220

226

232

237242

247

252

2424

2420

2416

2413

2410

2406

2403

2401

23982395

2393

2388

2384

2380

2377

2373

2370

23672364

2361

2358

2562

2565

2568

2571

2573

2575

2577

2580

25812583

2593

2588

2591

2594

2597

2599

2602

26042606

2608

2610

0.00100533

0.0010059

0.00100645

0.00100699

0.0010075

0.001008

0.00100848

0.00100895

0.00100940.00100984

0.00101027

0.0010111

0.00101188

0.00101263

0.00101335

0.00101404

0.00101471

0.001015350.00101597

0.00101658

0.00101716

:=

• 7/31/2019 Mathcad - Spot Questions1

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Computer Programming Skills MathCad Solution by DF Sozinando Student at theVaal University of Technology

n 20:=

Quality x( ) h x

hf Datan 4,( )

hfg Datan 5,( )

hg Datan 6,( )

sorting "subcool" h hf

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Computer Programming Skills MathCad Solution by DF Sozinando Student at theVaal University of Technology

The study of stress and strain of a structure subjected to axial loading is governed by the following set of equations:

Modulus of elaticity E is such that: Ex

x

= (Hooke's law)

Poisson's ratioy

x

-=

Cross_Sectional_Area= (stress)

and xx

Initial_Length= (Axial Strain) y

x

Initial_Diameter= (Lateral Strains

g A rod of length L3 500mm= anda diameter 16mm= made of homogeneous and isotropic material is observed

to increase in length by , and to decrease in diameter by x 300m= , and to decrease in diameter by 2.4m=

( y -= ) when subjected to an axial load F3 12kN=

Use the Programming toolbar and write a function constants P x, , x, y,( ) x y, , E,( )=

Evaluate the program for the following numerical applications. Return results with 5 decimal digits, in order asprescribed by the defined user-defined function output order

constants 12kN 500mm, 16mm, 300m, 24m,( )

constants 18kN 60cm, 16mm, 300m, 24m,( )

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Computer Programming Skills MathCad Solution by DF Sozinando Student at theVaal University of Technology

constants P x, , x, y,( ) xP

42

xx

x

yy

-

y

x

-

Ex

x

1

MPa

stack x y, , E,( )return

:=

constants 12kN 500mm, 16mm, 300 m, 2.4 m,( )

0.0006

0.00015-

0.25

99471.83943

=

constants 18kN 60cm, 0.64in, 300 m, 2.4 m,( )

0.0005

0.000148-

0.295276

173454.366919

=

verification 1

x 300m:= p 12kN:= 3 16mm:= 2.4 m:= L3 500mm:= y -:=

yy

3

0.015- %=:= xx

L3

0.06 %=:= xp

32

4

59683.10366 kPa=:=

y

x

- 0.25=:= Ex

x

99471.83943 MPa=:=

• 7/31/2019 Mathcad - Spot Questions1

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Computer Programming Skills MathCad Solution by DF Sozinando Student at theVaal University of Technology

verification 2

p 18kN:= 0.64 in:= x 60cm:=

yy

0.01476- %=:= xx

x0.05 %=:= x

p

2

4

86727.18346 kPa=:=

y

x

- 0.29528=:= Ex

x

25157.42898 ksi=:=