Karena dipanaskan, kawat yang panjangnya 48 cm akan nrengembang menjadi 52 cm. setelah pemanasan, berapzrkah panjangnva kawat yang berukuran 72 cn?
Answer (4)
well the Strength of the bridge is determend by the length of the bridge. otherwise the bridge would not be stable and would not be operational.
The relationship between bridge strength and bridge length is not straightforward and depends on various factors such as the type of bridge, materials used, design, and load-bearing capacity.
In general, longer bridges tend to experience greater stress and require additional structural support to maintain strength and stability. However, this relationship is not linear, as different types of bridges exhibit different behaviors.
One way to assess the relationship between bridge strength and length is by considering the bending moment, which is a measure of the internal forces within a structure due to external loads. The bending moment increases with the length of the bridge, as longer spans experience higher bending moments. This necessitates stronger materials or additional support structures to prevent failure.
To illustrate this relationship, let's consider a simple beam bridge subjected to a uniform distributed load. The bending moment M at any point along the beam can be calculated using the formula:
M = 8 w L 2
Where:
M = Bending moment (Nm)
w = Uniform distributed load (N/m)
L = Length of the bridge (m)
Assuming a uniform distributed load of w = 10 , 000 N/m and two bridge lengths, L 1 = 10 m and L 2 = 20 m , we can calculate the bending moments for both lengths.
For L_1 = 10 \, \text{m} \
M 1 = 8 10 , 000 × ( 10 ) 2 = 125 , 000 Nm
For L_2 = 20 \, \text{m} \
M 2 = 8 10 , 000 × ( 20 ) 2 = 500 , 000 Nm
From the calculations, it's evident that the bending moment increases quadratically with the length of the bridge. Therefore, longer bridges generally require stronger materials or additional structural support to withstand higher bending moments and maintain their strength and stability.
In conclusion, the relationship between bridge strength and length involves complex considerations, but generally, longer bridges experience higher bending moments, necessitating stronger materials or additional support structures to prevent failure.
Complete question:
What is the relationship between bridge strength and bridge length?
The relationship between bridge strength and length shows that as bridge length increases, the bending moments and stress in the structure also increase. This leads to a need for stronger materials and additional supports to maintain stability. Engineers must carefully design longer bridges to handle these challenges effectively.
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jawabannya ya kak, semoga paham ya
