A 32-mm rebar with a gauge length of 200 mm was subjected to tension tofracture according to ASTM E-8 method. The load and deformation data wereas shown in Table P3.33.Using a spreadsheet program obtain the following:a. A plot of the stress-strain relationship. Label the axes and show units.b. A plot of the linear portion of the stress-strain relationship. Determinemodulus of elasticity using the best-fit approach.c. Proportional limit.d. Yield stress.e. Ultimate strength.f. If the rebar is loaded to 390 kN only and then unloaded, what is thepermanent change in length?TABLE P3.3 3Load (kN)Displacement (mm)Load (kN)Displacement (mm)472.98.462.20.1487.19.7188.90.2496.411.1329.80.4505.712.4383.41.7512.813.7426.04.0522.615.3447.35.9532.418.5462.57.2525.922.4

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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 3003-H14 aluminum alloy rod with 0.5 in. diameter is subjected to a 2000- lb tensile load. Calculate the resulting diameter of the rod. If the rod is sub- jected to a compressive load of 2000 lb, what will be the diameter of the rod? Assume that the modulus of elasticity is 10,000 ksi, Poisson’s ratio is 0.33, and the yield strength is 21 ksi.
A steel specimen is tested in tension. The specimen is 25 mm wide by 12.5 mm thick in the test region. By monitoring the load dial of the testing machine, it was found that the specimen yielded at a load of 160 kN and fractured at 214 kN. a. Determine the tensile stress at yield and at fracture. b. If the original gauge length was 100 mm, estimate the gauge length when the specimen is stressed to 1/2 the yield stress.
A steel specimen is tested in tension. The specimen is 2 in. wide by 2.3 in. thick in the test region. By monitoring the load dial of the testing machine, it was found that the specimen yielded at a load of 30 kips and fractured at 40 kips. a) Determine the tensile stress at yield and fracture; b) If the original gauge length was 4 in., estimate the gauge length when the specimen is stressed to 2 the yield stress.
A drill rod with a diameter of 1/2 in. is made of high-strength steel alloy with a shear modulus of 11.6 * 106 psi. The rod is to be subjected to a torque T.What is the minimum required length L of the rod so that the cross section at one end can be rotated 60° with respect to the other end without exceeding an allowable shear stress of 45 * 103 psi?
an 30 Show Transcribed Text The varying, fluctuating stresses shown to the below are found at the critical location of a component. The material is steel, the fully adjusted endurance limit is 25 ksi, the ultimate strength is 200ksi. The fatigue strength fraction is f = 0.77. What is the life of the part in hours if this 6 second stress pattern continues to repeat for the remainder of the part's life? Show Transcribed Text Less than one hour 10 to 20 hours 39 to 42 hours 43 to 45 hours 50 to 55 hours 100 to 105 hours t(sec)
A steel bar of 22 mm diameter and 8 cm gage length was axially loaded in tension and the following load deformation diagram was obtained. Determine: a) The yield strength by 0.2% off-set method. b) Modulus of elasticity by initial tangent method. c) Modulus of elasticity by tangent method at 2/3 of the yield strength. d) Modulus of elasticity by secant method at 70% of ultimate strength. e) Strain in fracture. Answer: a) 6576.7 kgf cm² b) 2.3x10° kgf/cm² e) 1.11x10° kgf/cm? d)1.49 kgf/cm² e)1.6% Bon) 30 25 20 15 10 DL (om a018 0.032 0.040 0.004 0.000 O.112 0.120
1. For the 15 foot copper bar shown in the figure below, find the total elongation (or shrinkage). The bar has a square cross section of 2" x 2" ( 16,000 lbs 4000 lbs 12' Punch Force 12000 lbs 2. A metal plate is 125 inch thick. What force is required to punch out a square piece 1" x 1"? The ultimate shear stress of the metal is 37,000 psi, and the ultimate tensile stress is 60,000 psi.
Define the terms shear stress and shear strain, illustrating your answer by meansof a simple sketch. Two circular bars, one of brass and the other of steel, are to beloaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) insingle shear, (b) in double shear, if the shear stress in the two materials must notexceed 50 MN/m2and 100 MN/m2respectively.
412/2021. HW:No.2 (The deadline for submitting your homework on Snday 042814). Three steel bars with a diameter of 25 mm and carbon contents of 0.2, 0.5, and 0.8%, respectively. The specimens were subjected to tension until rupture. The load versus deformation results were as shown in Table below If the gauge length is 50 mm, determine the following: a. The tensile stresses and strains for each specimen at each load increase. b. Plot stresses versus strains for all specimens on one graph. c. The modulus of elasticity for each specimen. d. ultimate strength for each specimen. e. The strain at rupture for each specimen. f. the percentage of the total elongation. 3 Specimen No. Carbon Content (%) 1 2 0.2 0.5 0.8 Deformation (mm) Load (kN) 0.00 0. 0. 0. 0.07 133 133 133 0.10 137 191 191 0.15 • 142 196 285 0.50 147 201 324 1.00 140 199 383 2.50 155 236 447 5.00 196 295 491 (Rupture) 7.50 226 336 10.00 241 341 12.50 218 304 (Rupture) 13.75 196 (Rupture) Stress Strain Curve and Explanation…
A steel bar of 22 mm diameter and 8 cm gage length was axially loaded in tension and the following load deformation diagram was obtained. Determine: a) The yield strength by 0.2% off-set method. b) Modulus of elasticity by initial tangent method. c) Modulus of elasticity by tangent method at 2/3 of the yield strength. d) Modulus of elasticity by secant method at 70% of ultimate strength. e) Strain in fracture.
A tensile test was performed on a metal specimen with a diameter of 1⁄2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The data were plotted on a load-displacement graph, P vs. ∆L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P y∆L 5 1392 kips yin. What is the modulus of elasticity?

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