Question

A simply supported beam with an overhang supports a concentrated load of 500 lb as shown. The beam is fabricated from two 1 in. by 10 in. wooden boards nailed to a 2 in. by 6 in. flange board. The centroid location of the fabricated cross section is shown in the sketch, and the moment of inertia of the cross section about the z centroidal axis is $I_z = 290.667$ in.$^4$. If the allowable shear resistance of each nail is 80 lb, determine the maximum spacing interval $s$ that is acceptable for the built-up beam. Match the answers. Do not leave blanks. 7 ft 51.6 32 B 7 ft 6 5 in. Nails 500 lb 3.50 in. C 6.5 in. 2 in. 1 in. 1 in. 2.98 1. First moment of area: $Q = $ in.$^3$ 52.8 2. Shear Flow: $q = $ lb/in. 30 3. maximum nail-spacing: $s = $ in. 3.02 4. Not an answer 52.3 35 3.10 10 in.

          A simply supported beam with an overhang supports a concentrated load of 500 lb as shown. The beam is fabricated from two 1 in. by 10 in. wooden boards nailed to a 2 in. by 6 in. flange board. The centroid location of the fabricated cross section is shown in the sketch, and the moment of inertia of the cross section about the z centroidal axis is $I_z = 290.667$ in.$^4$. If the allowable shear resistance of each nail is 80 lb, determine the maximum spacing interval $s$ that is acceptable for the built-up beam.
Match the answers. Do not leave blanks.
7 ft
51.6
32
B
7 ft
6 5 in.
Nails
500 lb
3.50 in.
C
6.5 in.
2 in.
1 in.
1 in.
2.98
1. First moment of area: $Q = $____ in.$^3$
52.8
2. Shear Flow: $q = $____ lb/in.
30
3. maximum nail-spacing: $s = $____ in.
3.02
4. Not an answer
52.3
35
3.10
10 in.

A simply supported beam with an overhang supports a concentrated load of 500 lb as shown. The beam is fabricated from two 1 in. by 10 in. wooden boards nailed to a 2 in. by 6 in. flange board. The centroid location of the fabricated cross section is shown in the sketch, and the moment of inertia of the cross section about the z centroidal axis is Iz = 290.667 in.^4. If the allowable shear resistance of each nail is 80 lb, determine the maximum spacing interval s that is acceptable for the built-up beam.
Match the answers. Do not leave blanks.
7 ft
51.6
32
B
7 ft
6 5 in.
Nails
500 lb
3.50 in.
C
6.5 in.
2 in.
1 in.
1 in.
2.98
1. First moment of area: Q = in.^3
52.8
2. Shear Flow: q = lb/in.
30
3. maximum nail-spacing: s = in.
3.02
4. Not an answer
52.3
35
3.10
10 in.

Added by David M.

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