The three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 x 82 with flange plates (A = 24 in.?, h = 14.3 in., Iw = 881 in.“,b1 = 8 in., t; = 0.52 in., b; = 10.1 in., t = 0.855 in., t = 0.51 in.); Beam 2 consists of a web plate with four angles (A, = 5.77 in.2, ca = 1.67 in., ha = 6 in., I = 19.9 in.“, bg = 14 in., t; = 0.675 in.); and Beam 3 is constructed of 2 C shapes with flange plates ( A. = 14.7 in.?, he = 15 in., I. = 404 in.“, bg = 4 in., t3 = 0.375 in., = 3.72 in., t = 0.65 in., t = 0.716 in.). Assume allowable stress values are: o, = 18 ksi and Ta = 11 ksi. The most economical beam is that having the largest capacity-to-weight ratio. Neglect fabrication costs in answering (c) and (d) below. III 8 × 0.52 -4 × 0.375 Four angles C 15 × 50' 14 × 0.675 6 × 6 x- W 14 × 82 4 × 0.375 8 × 0.52 Beam 1 Beam 2 Beam 3 (a) Which design has the largest moment capacity? -Select- v (b) Which has the largest shear capacity? -Select- v (c) Which is the most economical in bending? -Select- v (d) Which is the most economical in shear? -Select- v
The three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 x 82 with flange plates (A = 24 in.?, h = 14.3 in., Iw = 881 in.“,b1 = 8 in., t; = 0.52 in., b; = 10.1 in., t = 0.855 in., t = 0.51 in.); Beam 2 consists of a web plate with four angles (A, = 5.77 in.2, ca = 1.67 in., ha = 6 in., I = 19.9 in.“, bg = 14 in., t; = 0.675 in.); and Beam 3 is constructed of 2 C shapes with flange plates ( A. = 14.7 in.?, he = 15 in., I. = 404 in.“, bg = 4 in., t3 = 0.375 in., = 3.72 in., t = 0.65 in., t = 0.716 in.). Assume allowable stress values are: o, = 18 ksi and Ta = 11 ksi. The most economical beam is that having the largest capacity-to-weight ratio. Neglect fabrication costs in answering (c) and (d) below. III 8 × 0.52 -4 × 0.375 Four angles C 15 × 50' 14 × 0.675 6 × 6 x- W 14 × 82 4 × 0.375 8 × 0.52 Beam 1 Beam 2 Beam 3 (a) Which design has the largest moment capacity? -Select- v (b) Which has the largest shear capacity? -Select- v (c) Which is the most economical in bending? -Select- v (d) Which is the most economical in shear? -Select- v
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The three beams shown have approximately the same cross-sectional area. Beam 1 is a with flange plates (, , , , , , , ); Beam 2 consists of a web plate with four angles (, , , , , ); and Beam 3 is constructed of 2 C shapes with flange plates ( , , , , , , , ).
Assume allowable stress values are: and . The most economical beam is that having the largest capacity-to-weight ratio. Neglect fabrication costs in answering (c) and (d) below.
Transcribed Image Text:The three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 x 82 with flange plates (Ay = 24 in.?, hy = 14.3 in., Iw = 881 in.4, b, = 8 in.
t = 0.52 in., b = 10.1 in.,t = 0.855 in., t = 0.51 in.); Beam 2 consists of a web plate with four angles (A, = 5.77 in.?, ca = 1.67 in., ha = 6 in., I, = 19.9 in.4, b2 = 14 in.,
ti = 0.675 in.); and Beam 3 is constructed of 2 C shapes with flange plates ( Ac = 14.7 in.?, he = 15 in., I. = 404 in.“, bg =4 in., t3 = 0.375 in., b = 3.72 in., t = 0.65 in.,
t = 0.716 in.).
Assume allowable stress values are: o, = 18 ksi and Ta = 11 ksi. The most economical beam is that having the largest capacity-to-weight ratio. Neglect fabrication costs in answering (c) and (d)
below.
8 X 0.52
4 × 0.375
Four angles
C 15 × 50
6 × 6 ×-
14 × 0.675
W 14 × 82
4 x 0.375
8× 0.52
Beam 1
Beam 2
Beam 3
(a) Which design has the largest moment capacity?
-Select- v
(b) Which has the largest shear capacity?
-Select- v
(C) Which is the most economical in bending?
-Select- v
(d) Which is the most economical in shear?
-Select-
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