The document calculates the weight of different parts of a structure. It provides the dimensions of the structure and calculates the volume and weight of various boards and bars that make up the structure. It uses the dimensions, density of the material (1200 kg/m3), and gravitational acceleration (9.8 m/s2) in the weight calculations. The weights of the largest board, longest bar, and shortest bar are determined to be 1502.99 N, 646.43 N, and 12.09 N respectively.

1. Peso del tablero
119 cm
179 cm
6 cm
V=a.b.c=(179cm)(6cm)(119cm)
V=0.13𝑚3
W=ρVg=(1200
𝑘𝑔
𝑚3
)( 13𝑚3)(9.8
𝑚
𝑠2
)
W=1502.99N
Barras de 115 cm y 30.5 cm
Espesoresde lasbarras =4.3 cm
115 cm
a
119 cm
30.5 cm b
cos 𝛼 =
1152 + 1192 − 30.52
2(115)(119)
α= 14.85 grados
cos 𝛼=
𝑎
115
b=119-111.16
a= 111.16 cm b=7.84cm
Barra e 115 cm
V=a.b.c=(115cm)(4.3cm)(111.16cm)
V=0.05𝑚3
W=ρVg=(1200
𝑘𝑔
𝑚3
)( 0.05𝑚3)(9.8
𝑚
𝑠2
)= 646.43 N

2. Barra de 30.5cm
V=a.b.c=(30.5cm)(4.3cm)(7.84cm)
V=1.03 + 10−3 𝑚3
W=ρVg=(1200
𝑘𝑔
𝑚3
)( 1.03 + 10−3 𝑚3)(9.8
𝑚
𝑠2
)=12.09 N
Barras de 94 cm y 48 cm
Espesoresde lasbarras =4.3cm
94 cm
c
119 cm
d
48 cm
cos 𝛼 =
942 + 1192 − 482
2(94)(119)
α= 22.33 grados
cos 𝛼=
𝑐
115
d=119-86.94
c= 86.94 cm d=32.05 cm
Barra de 94cm
V=a.b.c=(94cm)(4.3cm)(86.94cm)
V=0.04𝑚3
W=ρVg=(1200
𝑘𝑔
𝑚3
)( 0.04𝑚3)(9.8
𝑚
𝑠2
)= 413.26 N
Barra de 48cm
V=a.b.c=(48cm)(4.3cm)(32.05cm)
V=6.61 + 10−3 𝑚3
W=ρVg=(1200
𝑘𝑔
𝑚3
)( 6.61 + 10−3 𝑚3)(9.8
𝑚
𝑠2
)=77.79 N