A line was found to be 1450.25 m long whenmeasured with a 30-m tape under a steady pull of6.5 kg at a mean temperature of 30° C andsupported at the midspan and at the ends.Determine the correct length of the line if the tapeused is of standard length at 20° C under a pull of5.5 kg. Assume the cross-sectional area of tape tobe 0.025 cm^2, elastic modulus as 2.10 x 10^6kg/cm^2, and coefficient of thermal expansion to be0.0000116/°C.

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Answered: A line was found to be 1450.25 m long…

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 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
Given the torque-angle deformation curve below, estimate the shear modulus in GPa?. Where the length of the specimen is 273mm and the diameter is 19.3mm (Round your answer to nearest integer, e.g. 100, do not add units, use exact value of pi not 3.14) SC.O 45.0 35.0 25.0 20.0 5.0 0.20 040 050 0.60 0.70 0.80 0.90 Angle (") A S en eta ine f Your Answer: Answer Torque (N-m)
For the built-up shape shown in the figure, determine: a. The elastic section modulus considering bending about the horizontal axis. (ANS 518 x 103mm3). b. The elastic section modulus considering bending about the vertical axis (ANS 133 x 103mm3). c. The plastic section modulus about the horizontal axis in x103 mm3 (ANS 572) d. The plastic section modulus about the vertical axis in x103 mm3.(ANS 0.20)
Consider a 1,000-mm long, 25-mm diameter sample subjected to a tension test. Automatic high-precision gages recorded that for an applied load of 150 kN, the sample experienced a longitudinal strain of 2×10−3mm/mm. Assuming that the material remained elastic while loaded, determine its modulus of elasticity. A. 175.0 GPa B. 63.7 GPa C. 152.8 GPa D. 72.9 GPa Which of the following occurs when the value of Poisson’s ratio is doubled and the modulus of elasticity is kept constant? a. The lateral deformations experienced by the material is halved b. The volume of the material will remain constant when subjected to external forces c. The elastic region of the shear stress-strain diagram would be less steep d. The material can withstand higher amounts of stress before permanent deformations occur
QUESTION 21: A 50m tape of standard length has weight of 0.05kg/m, with a cross sectional area of 0.04sqcm. It has a modulus of elasticity, E = 2x106 kg/cm² The tape is of standard length under a pull of 5.5kg when supported throughout its length and a temperature of 20°C. This tape was used to measure a distance between A and B and was recorded to be 458.65m long. At the time of measurement, the pull applied was 8kg with the tape supported only at its endpoints and the temperature observed was 18°C. Assuming coefficient of expansion of steel tape as 0.0000116/°C. a) Compute the correction due to the applied pull. b) Compute the correction due to sag of the tape. c) Compute the true length of the measured line AB due to the combined effects of applied pull, sag and temperature.
Wire BC has a diameter of 0.10 in. And its material has the stress-strain characteristics shown in the figure. Determine the vertical displacement of the handle D if the pull on the handle is slowly increased and reaches the magnitude of P = 655 lb. o (ksi) 40 pulg 80 70 B 50 pulg - 30 pulg € (pulg/pulg) 0.007 0.12
An aluminum plate is subjected to uniform stress along its boundaries, as shown in the figure. Determine the change of length of diagonal BD. 120mm 120 MPa 160mm , 100мра C 240 MPa E=80GPa ✓=0.3 G=30GPa Answer = -0.5888mm
At the proportional limit, a 45 mm wide by 9 mm thick bar elongates 2.5 mm under an axial load of 49.8 kN. The bar is 1 m long. If Poisson's ratio is 0.3 for the material, determine: (a) the modulus of elasticity. (b) the proportional limit. (c) the change in each lateral dimension. Answers: (a) The modulus of elasticity E = (b) The proportional limit OPL= i (c) The change in width= i The change in thickness= i i mm. mm. GPa. MPa
In order to calibrate the digital readout of a hydraulic cylinder a cantilever beam with a width of 75mm, a height of 150mm and a weight of 850 N/m is fitted with strain gauges to determine the actual force exerted. The cylinder is placed at a distance of 5 m from the supporting structure. The steel used has a yield strength of 350 MPa and a modulus of elasticity of 200 GPa. Using the principle of super positioning calculate the deflection and end slope that can be expected if the cylinder exerts a maximum force of 10 000 N at the end of the beam. q=250 N/m P-50 000 N 12 – (2.109-10¹) mm¹
A Homogeneous 2700 Kg Bar AB Is Supported At Either End By A Cable As Shown In The Figure. Determine The Stress In The Bronze Cable If The Cross Sectional Area Of The Bronze And Steel Cables Are 55 Mm 2 And 35 Mm 2, Respectively. Bronze L = 4 M Steel L = 3 M A 10 M B 240 MPa 126 MPa 135 MPa 150MPa
Engr. Sova Ho used 30m length of tape in measuring a distance line. The measured length of the line was recorded to be 454.62 m. During the measurement the temperature reading was 11 oC and the tape was supported at both ends. The cross sectional area of the tape is 6.50mm2 and the modulus of elasticity is 200 GPa. The tape has a weight of 0.075 kg/m. K= 11.6 x10-6 m/c. If the engineer determined the Temperature correction, Pull correction, and Sag Correction lengths to be 1,640.01 μm, 588μm, and 1.71 mm respectively, per segment. Calculate the applied Pull of the 30m tape in kg.
Q5. Determine the rod extension after tension test on a steel rod had the following results; Rod diameter = 30mm Rod length before test = 200mm Maximum applied load = 400KN Youngs modulus of elasticity = 25000N/mm %3D %3D

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