M5-6 CORRECTION DUE TO SAG. A 50-m steel tape weighs 0.04 kg/m and is supported at its end points and at the 8-m and 25-m marks. If a pull of 6 kg is applied, determine the following: a) Correction due to sag between the 0-m and 8-m marks, 8-m and 25-m marks, and the 25-m and 50-m marks. b) Correction due to sag for one tape length. c) Correct distance between the ends of the tape. Steel Tape 50m-->P 8m 25m P4---Om Support at end Support at mid- point Support at end Intermediate support L3 M5-7 NORMAL TENSION. A steel tape having a cross-sectional area of 0.06 cm2 and a modulus of elasticity of 2.0x106 kg/cm², weighs 0.03 kg/m. Its length is 30.00 m when standardized at a pull of 5 kg and supported throughout its length. Determine the tension at which the effect of sag will be eliminated by the elongation of the tape due to increased tension. Fig. 10-6. Determining normal tension. -30-m -0-m mark -Steel Tape(Held above ground) mark - ? ! W = w L 2nd Support Ist Support 30.00 m -O-m mark -Steel Tope (Supported throughout on ground surtace) -30- m mark A W---P 5 kg M5-8 COMBINED CORRECTIONS. A 50-m steel tape is of standard length under a pull of 5.5 kg when supported throughout its entire length. The tape weighs 0.05 kg/m has a cross-sectional area of 0.04 sq.cm, and being made of steel, its modulus of elasticity is 2.10x106 kg/cm². This tape was used in the field to measure a distance that was determined to be 458.650 m. At the time the measurement was made, the constant pull applied was 8 ka with
M5-6 CORRECTION DUE TO SAG. A 50-m steel tape weighs 0.04 kg/m and is supported at its end points and at the 8-m and 25-m marks. If a pull of 6 kg is applied, determine the following: a) Correction due to sag between the 0-m and 8-m marks, 8-m and 25-m marks, and the 25-m and 50-m marks. b) Correction due to sag for one tape length. c) Correct distance between the ends of the tape. Steel Tape 50m-->P 8m 25m P4---Om Support at end Support at mid- point Support at end Intermediate support L3 M5-7 NORMAL TENSION. A steel tape having a cross-sectional area of 0.06 cm2 and a modulus of elasticity of 2.0x106 kg/cm², weighs 0.03 kg/m. Its length is 30.00 m when standardized at a pull of 5 kg and supported throughout its length. Determine the tension at which the effect of sag will be eliminated by the elongation of the tape due to increased tension. Fig. 10-6. Determining normal tension. -30-m -0-m mark -Steel Tape(Held above ground) mark - ? ! W = w L 2nd Support Ist Support 30.00 m -O-m mark -Steel Tope (Supported throughout on ground surtace) -30- m mark A W---P 5 kg M5-8 COMBINED CORRECTIONS. A 50-m steel tape is of standard length under a pull of 5.5 kg when supported throughout its entire length. The tape weighs 0.05 kg/m has a cross-sectional area of 0.04 sq.cm, and being made of steel, its modulus of elasticity is 2.10x106 kg/cm². This tape was used in the field to measure a distance that was determined to be 458.650 m. At the time the measurement was made, the constant pull applied was 8 ka with
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:M5-6 CORRECTION DUE TO SAG. A 50-m steel tape weighs 0.04 kg/m and is
supported at its end points and at the 8-m and 25-m marks. If a pull of 6 kg
is applied, determine the following:
a) Correction due to sag between the 0-m and 8-m marks, 8-m and 25-m
marks, and the 25-m and 50-m marks.
b) Correction due to sag for one tape length.
c) Correct distance between the ends of the tape.
|
Steel Tape
50m -->P
8m
P4---Om
Support
at end
Intermediate
support
Support at
mid- point
Support
at end
L
M5-7 NORMAL TENSION. A steel tape having a cross-sectional area of 0.06 cm²
and a modulus of elasticity of 2.0x106 kg/cm2, weighs 0.03 kg/m. Its length
is 30.00 m when standardized at a pull of 5 kg and supported throughout its
length. Determine the tension at which the effect of sag will be eliminated
by the elongation of the tape due to increased tension.
Fig. 10-6. Determining normal tension.
0-m
mark
-Steel Tape (Held
above ground)
-30-m
mark
! W = w L
2nd Support
Ist Support
30.00 m
Steel Tape (Supported
throughout on ground surtace)
-30- m
mark
m
mark
--->P = 5 kg
P: 5 kg-z w aS
M5-8 COMBINED CORRECTIONS. A 50-m steel tape is of standard length under a
pull of 5.5 kg when supported throughout its entire length. The tape weighs
0.05 kg/m has a cross-sectional area of 0.04 sq.cm, and being made of
steel, its modulus of elasticity is 2.10x106 kg/cm². This tape was used in the
field to measure a distance that was determined to be 458.650 m. At the
time the measurement was made, the constant pull applied was 8 kg with
the tape supported only at its end points. Determine the correct length of
the line.
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