Q2: - A tape 100m long. it's cross sectional area in 0.0585 cm, the apparent length of which was found to be 1500m. The tape was Standardized under a pull of 6.75kg but after the line was measured, it was Found that the pull actually used during the measurement was - 7.75 kg. what Was the truc length of the line if the tape was standardized & used on the flat? Take young modulus, E- 2,000,000 kg /em

Q2: - A tape 100m long. it's cross sectional area in 0.0585 cm, the apparent length of which was found to be 1500m. The tape was Standardized under a pull of 6.75kg but after the line was measured, it was Found that the pull actually used during the measurement was - 7.75 kg. what Was the truc length of the line if the tape was standardized & used on the flat? Take young modulus, E- 2,000,000 kg /em

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A 50 m steel tape measured 50.0250 m when standardized fully supported under a 90-newton pull at a temperature of 20°C. The tape weighed 12N and had a cross-sectional area of 0.028 cm^2. What is the true length of the recorded distance AB for the following condition? (K= 0.0000116/°C, modulus of Elasticity =2.1x10^7).Recorded distance: 215.095 mAverage temperature: 12°CMeans of support: SuspendedTension: 120 NElevation difference per 100 m: 2.5mRound off the final answers to the nearest hundred thousandths (five decimal places) and indicate if the answer is positive or negative. 1. Determine the temperature correction for the entire length of the distance measured. 2. Give the correction for the absolute length of the tape, accounting the full length it measured. 3. Determine the sag correction for one tape length. 4. Determine the pull correction for the entire length of the distance measured. 5. Compute for the slope correction for the entire length of the distance measured.
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The modulus of rigidity of material is 200Gpa. A 10mm diameter rod of the material was subjected to an axial pull of 10KN and change in diameter was to be observed 3mm. Calculate the Poisson's ratio and modulus of elasticity.
This is an exercise to illustrate the effects of mesh refinement on a 1-d rod. To estimate the self-weight elongation (8) of the tapered conical rod shown in the figure. The diameter varies linearly from Do at the bottom to aDo at the top, where 0.1 < E Young's Modulus y Unit weight (Diameter at top) 8 clongation D (Diameter at bottom) a<0.5. Solve for L= 5m, y= unit weight of steel, E= young's modulus of steel, Do=3m and a=0.3. Solve the problem at least four times using an increasing number of rod elements (nels=2, 4, 6, 8). Make appropriate assumptions about how to deal with the changing cross-sectional area and self-weight loading along the length of the rod. A plot of the dimensionless tip deflection SE/yL? vs. number of elements (nels) used in the discretization to show convergence on the exact solu- tions of
A 50-m steel tape is of standard length under a pull of 55 N and a temperature of 20°C when supported throughout its entire length. The tape weighs 0.055kg/m, has a cross sectional area of 0.04 cm² and a modulus of elasticity of 2x10⁶ kg/cm². This tape was used in the field to measure a distance that was determined to be 501.650 m. At the time the measurement was made, the constant pull applied was 80 N with the tape supported only at endpoints. During the measurement the temperature was observed to be at an average of 18°C. Use a = 11.6x10-6 m/"C a. Determine the correction due to tension. b. Determine the correction due to change in temperature. C. Determine the correction due to sag. d. Determine the correct length of the line.
Question 1: 1. The figure shows two steel shafts connected by a steel pipe with interference. Modulus of elasticity = 210000MPa, Poisson's ratio = 0.3, and Coefficient of friction = 0.1. Fill the following table: L2 Interference H6/n5 dl 58 mm S2 d2 100 mm LI 70 mm L2 150 mm shaft diameter, d = mm Shaft inner diameter, di = mm Hole outer diameter, do = mm Interference length = mm Coef. Of friction = Modulus of elasticity Poisson's ratio Interference type Мах. Min. Interference micron Мра Pressure = Force = N Torque = Nmm Capacity of the assembly press Allowable transmitted torque Nmm - LP
A distance between points A and B is measured and recorded as 123.456 meters using a tape that has a certified length of 29.992 meters. What is the true distance between A and B? a. 123.486 m b. 123.448 m a. b. C. d A 50-m tape weighing 1.075 kg has a standard pull of 8 kg. The tap's cross-sectional area and modulus of elasticity are 0.05 cm² and 200 GPa, respectively. What (normal tension) is required in order that the effect of sag will be eliminated when the tape is supported at end points only? 247.5 N 197.4 N a 0.25% b. 0.26% 123.489 m 123.423 m C di 163.6 N 327.9 N Determine the percentage uncertainty in the area of a square that is 6.08 ± 0.01 m on a side. C. 0.29% d. 0.33%
A 30 m tape weighs 12 g/m and has a cross sectional area of 0.020 cm². It Q.2. measures correctly when supported throughout under a tension of 85 N and at a temperature of 20°C. When used in the field, the tape is only supported at its ends, under a tension of 85 N. The temperature is 13°C. What is the distance of zero and 30 mark under these conditions?
A 100m tape is of standard length at a temperature of 20°C and a pull of 50N. It was used to measure a distance of 3768.92m. During measurement, the temperature reading was 29°C and the tape was supported at both end with an applied pull of 85N. The cross-sectional area of the tape is 2.8mm 2, the unit weight is 0.13N/m, themodulus of elasticity is 200GPa and the coefficient of linear expansion is 0.0000116/°C. Determine:a. the total temperature correctionb. the total pull correctionc. the total sag correctiond. the correct distance
W o No. Load Elongation Lo P(KN) SL(mm) |(mm) Area O eng (KN/m²) Еeng (mm) m² 1 100 36.1 2 38 0.02 100 36.1 3 76.2 0.12 100 36.1 4 92.7 0.25 100 36.1 107 0.50 100 36.1 6. 149 2.03 100 36.1 7 160.6 3.55 100 36.1 8 102 3.87 100 36.1 9 100.7 4.01 100 36.1 10 98.33 4.12 100 36.1 11 155 4.65 100 36.1 12 142 5.1 100 36.1 13 124.2 5.84 100 36.1
A 30 m tape weighing 1.150 kg is of the standard length under a pull of 5.000 kg supported for a full length. The tape was used in measuring a line 938.550 m long on a smooth level ground under a steady pull of 10.000 kg Assume E = 2.0x10⁶ kg/cm² and unit weight of the steel to be 7.9x10^-3 kg/cm³, determine the following correct length of the Ene measured. • Find the correct length of line in meters • Find the sag correction in meters