i have a beam individual design due after 4 hours. i did everything but the sizes i used were not in the listed sizes that our professor handed out. could you change the sizes with their calculations

i will attach what i have done.and then i will send the list of sizes for the solid beams 

Size Cost Ea. No. Reqd.
in x in $

3/16 x 3/4 1.02
3/16 x 7/8 1.18
3/16 x 1 1.35
3/16 x 1-1/8 1.52
3/16 x 1-1/4 1.69
3/16 x 1-3/8 1.86
3/16 x 1-1/2 2.02
3/16 x 1-5/8 2.20
3/16 x 1-3/4 2.36
3/16 x 1-7/8 2.53

1/4 x 3/4 1.35
1/4 x 7/8 1.58
1/4 x 1 1.80
1/4 x 1-1/8 2.03
1/4 x 1-1/4 2.25
1/4 x 1-3/8 2.48
1/4 x 1-1/2 2.70
1/4 x 1-5/8 2.93
1/4 x 1-3/4 3.12
1/4 x 1-7/8 3.36

5/16 x 3/4 1.96
5/16 x 7/8 2.08
5/16 x 1 2.16
5/16 x 1-1/8 2.25
5/16 x 1-1/4 2.53
5/16 x 1-3/8 2.76
5/16 x 1-1/2 2.85
5/16 x 1-5/8 2.98
5/16 x 1-3/4 3.16
5/16 x 1-7/8 3.40

ENGR Section Team No.
ETGR Section

1201 Beam Project
1201 Lumber Supply Prices

Basswood Order Form
Fall 2013

• Sheet1

DESIGN WORK:

DRAWING

SECTION B 2 X 2.3 DETAILS

SECTION B 2 X 2.4 DETAILS

SECTION B 2 X 2.5 DETAILS

ANALYSIS RESULTS:

Load Diagram

Shear Force Diagram

Bending Moment Diagram

For the shear discontinuity equation, the following units are displayed:

Length units = in

Force units = lb

Moment units = lb-in

Shear discontinuity equation using symbolic notations:

Shear = Ay0 +By0 – P10

Shear discontinuity equation showing actual numeric values:

Shear = +150.000 +150.000 – 300.000

When using discontinuity functions, if the term in the <> brackets is negative for a particular value of x, the quantity in the <> brackets is defined to have a value of zero.

For the moment discontinuity equation, the following units are displayed:

Length units = in
Force units = lb
Moment units = lb-in

Moment discontinuity equation using symbolic notations:

Moment = Ay1 +By1 – P11

Moment discontinuity equation showing actual numeric values:

Moment = +150.001 +150.001 – 300.001

When using discontinuity functions, if the term in the <> brackets is negative for a particular value of x, the quantity in the <> brackets is defined to have a value of zero.

Resisting Moment of Beam (MR)

The resisting moment of a beam is the product of allowable fiber stress in bending for the species and grade of lumber, Fb, and the section modulus of the beam. The formula is as follows:

MR = Fb x S

S for a rectangular Section = bd2/6

Design Bending Stress at Extreme Fiber = Fb

RESULTS TABLE

S.No

Section (in)

Section Modulus (S) in3

Length (in)

Load (lb)

B.M (lb-in)

Fb (lb-in)

MR (lb-in)

Status

b

d

1

1

1

0.17

21

300

1575

900

153

Fail

2

2

2

1.33

21

300

1575

900

1197

Fail

3

2

2.1

1.47

21

300

1575

900

1323

Fail

4

2

2.2

1.61

21

300

1575

900

1449

Fail

5

2

2.3

1.76

21

300

1575

900

1584

Pass

6

2

2.4

1.92

21

300

1575

900

1728

Pass

7

2

2.5

2.08

21

300

1575

901

1874

Pass

So in viewing the above results of table section 2 in x 2.3, 2 x2.4 and 2.5 are suitable for design

Using Wood type Aspen having weight per unit cubic ft is 26.6 lb (12065 g)

E = 1885490 Psi

Deflection due to Load P = 300 lb. = PL3/48EI

=300 x 213/ (48×1885490.59 x 96.6)

= 0.01513 in

L/360 = 21/360 = 0.0583 in

As our Deflection is 0.01513 in, Design is safe against deflection for section B 2 x 2.3, which concludes also that it will also be saved for sections B 2 x 2.4 and B 2 x 2.5 as well

CALCULATION TABLE

Beam Configuration on Primary Axis (e.g. Solid Box, Hollow Box, I-Beam, or H-Beam)

Calculated Mass

Calculated Volume

Total Cost of Wood and Glue Joints ($) Rate 30$ /ft3

X-Axis Calculations

Y-Axis Calculations

lbm

g

ft3

in3

I (in4)

A (in)*

I (in4)

A (in)*

B 2 x2.3

1.49

675.86

0.056

96.6

1.68

2.03

4.6

2.03

4.6

B 2 x2.4

1.55

703.08

0.058

100.8

1.75

2.3

4.8

2.3

4.8

B 2 x2.5

1.62

734.83

0.061

105

1.82

2.6

5

2.6

5