Problem 1 A simply supported rectangular wooden beam has a span of 6 m. and carries a total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade Agoho. (Refer to table for the allowable stresses) a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress of the beam? Is it safe? b. What should be the area of the beam that will not exceed the allowable shearing stress? Species I. High Strength Group Agoho Liusin Malabayabas Manggachapui Molave Narig Sasalit Yakal Table TMBR-2: Properties of Philippine Wood at 50% Grade Modulus of Compression Elasticity in Parallel to Bending Grain Bending and Tension Parallel to Grain MPa 16.40 15.60 17.90 16.10 15.00 13.60 19.60 15-30 GPa 5.14 5.85 5.19 6.02 4.09 5.20 6.08 3.11 MPa 9.06 9.76 9.90 10.0 9.60 8.59 13.5 9-55 Compression Perpendicular to Grain MPa 3.69 2.69 5-44 3-77 3.96 3.11 6.40 3.92 Shear Parallel to Grain MPa 1.84 1.65 1.89 1.74 1.80 1.63 2.12 1.55

Structural Analysis
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Chapter2: Loads On Structures
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Problem 1
A simply supported rectangular wooden beam has a span of 6 m. and carries a
total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade
Agoho. (Refer to table for the allowable stresses)
a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress
of the beam? Is it safe?
b. What should be the area of the beam that will not exceed the allowable shearing stress?
Species
I. High Strength Group
Agoho
Liusin
Malabayabas
Manggachapui
Molave
Narig
Sasalit
Yakal
Table TMBR-2: Properties of Philippine Wood at 50% Grade
Bending and
Modulus of
Compression
Elasticity in
Parallel to
Tension Parallel
to Grain
Bending
Grain
MPa
16.40
15.60
17.90
16.10
15.00
13.60
19.60
15-30
GPa
5.14
5.85
5.19
6.02
4.09
5.20
6.08
3.11
MPa
9.06
9.76
9.90
10.0
9.60
8.59
13.5
9-55
Compression
Perpendicular
to Grain
MPa
3.69
2.69
5-44
3-77
3.96
3.11
6.40
3.92
Shear Parallel
to Grain
MPa
1.84
1.65
1.89
1.74
1.80
1.63
2.12
1.55
Transcribed Image Text:Problem 1 A simply supported rectangular wooden beam has a span of 6 m. and carries a total uniform load of 25 kN/m including its own weight. The beam is made up of 50% stress grade Agoho. (Refer to table for the allowable stresses) a. If the beam width is 200mm and beam depth is 400 mm. What is the maximum flexural stress of the beam? Is it safe? b. What should be the area of the beam that will not exceed the allowable shearing stress? Species I. High Strength Group Agoho Liusin Malabayabas Manggachapui Molave Narig Sasalit Yakal Table TMBR-2: Properties of Philippine Wood at 50% Grade Bending and Modulus of Compression Elasticity in Parallel to Tension Parallel to Grain Bending Grain MPa 16.40 15.60 17.90 16.10 15.00 13.60 19.60 15-30 GPa 5.14 5.85 5.19 6.02 4.09 5.20 6.08 3.11 MPa 9.06 9.76 9.90 10.0 9.60 8.59 13.5 9-55 Compression Perpendicular to Grain MPa 3.69 2.69 5-44 3-77 3.96 3.11 6.40 3.92 Shear Parallel to Grain MPa 1.84 1.65 1.89 1.74 1.80 1.63 2.12 1.55
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