Slope of a truss is equal toa)Pitch/2b)pitchc)4 times pitchd)2 times p...
Slope: Slope is the incline of the roof expressed as a ratio of the vertical rise to the horizontal run, where the run is some portion of the span/
Roof Trusses:
- They are economical for spans more than 6 m.
- The pitch of a roof truss (Rise/Span) should be 1/4 to 1/6 to its slope for proper drainage and slope = 2 times pitch .
- The spacing of roof trusses is kept 1/3 to 1/5 of the span.
- Roof trusses usually require very light members.
- A minimum angle section ISA 50 × 50 × 6 mm should be provided to avoid damage during transportation.
- The gusset plate should be at least 6 mm thick and at least 2 rivets should be used to connect any member to it.
Slope of a truss is equal toa)Pitch/2b)pitchc)4 times pitchd)2 times p...
Slope of a truss
The slope of a truss refers to the angle at which the top chord of the truss is inclined with respect to the horizontal plane. It is an important parameter in truss design as it affects the overall stability and load-carrying capacity of the structure. The slope is typically expressed as a ratio of vertical rise to horizontal span, known as the pitch.
Understanding the options
To determine the correct answer, let's analyze the options provided:
a) Pitch/2: This option suggests that the slope of a truss is equal to half of the pitch. While it may seem logical, it is not the correct answer as the slope is actually equal to twice the pitch.
b) Pitch: This option suggests that the slope of a truss is equal to the pitch itself. However, this is incorrect as the slope is equal to twice the pitch.
c) 4 times pitch: This option suggests that the slope of a truss is four times the pitch. This is not accurate either.
The correct answer
d) 2 times pitch: This option states that the slope of a truss is equal to twice the pitch. This is the correct answer. The slope of a truss is indeed twice the pitch.
Explanation
The slope of a truss can be determined by calculating the tangent of the angle between the top chord and the horizontal. The pitch, on the other hand, is the ratio of the vertical rise to the horizontal span.
Considering a right-angled triangle formed by the vertical rise, horizontal span, and the slope of the truss, we can use trigonometry to relate the slope and the pitch. Let's assume the vertical rise is represented by 'R' and the horizontal span by 'S'.
The tangent of the angle (θ) can be expressed as:
tan(θ) = R/S
Since the slope is the tangent of the angle, we have:
slope = tan(θ) = R/S
Rearranging the equation, we get:
R = slope * S
Comparing this equation with the definition of pitch, we can see that the vertical rise (R) is equal to the pitch. Therefore, we can rewrite the equation as:
pitch = slope * S
Simplifying further:
slope = pitch / S
Since the horizontal span (S) is equal to 1 in this case, the slope is equal to the pitch. However, in most practical truss designs, the horizontal span is not equal to 1. Hence, the correct answer is that the slope of a truss is equal to twice the pitch.
Therefore, option 'D' is the correct answer.
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