SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
10th Edition
ISBN: 9781259489563
Author: BUDYNAS
Publisher: INTER MCG
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Chapter 1, Problem 13P

A fatigue test is performed on rotating beam specimens where, for each rotation cycle, the specimens experience tensile and compressive stresses of equal magnitude. The cycles-to-failure experience with 69 specimens of 5160H steel from 1.25-in hexagonal bar stock was as follows:

L 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210
f 2 1 3 5 8 12 6 10 8 5 2 3 2 1 0 1

where L is the life in thousands of cycles, and f is the class frequency of failures.

  1. (a)   Estimate the mean and standard deviation of the life for the population from which the sample was drawn.
  2. (b)   Presuming the distribution is normal, how many specimens are predicted to fail at less than 115 kcycles?
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In a tensile test on a specimen of black mild steel of 12 mm diameter, the following results were obtained for a gauge length of 60 mm. Load W(kN) 5 10 15 20 25 30 35 40 Extension x (10-3 mm) 14 27.2 41 54 67.6 81.2 96 112   When tested to destruction. Maximum load = 65 kN; load at fracture = 50 kN, diameter at fracture = 7.5 mm, total extension on gauge length = 17 mm. Find young's modulus, specific modulus, ultimate tensile stress, breaking stress, true stress at fracture, limit of proportionality, percentage elongation, percentage reduction in area. The relative density of the steel is 7.8. Draw the straight line graph.   Answer: breaking stress,true stress at fracture and limit of proportionality.
Civil engineers often use the straight-line equation,   = b 0 + b 1x, to model the relationship between the shear strength y of masonry joints and precompression stress, x. To test this theory, a series of stress tests were performed on solid bricks arranged in triplets and joined with mortar. The precompression stress was varied for each triplet and the ultimate shear load just before failure (called the shear strength) was recorded. The stress results for n = 7 resulted in a Coefficient of Determination of 0.8436. Given that r 2=  0.8436, give a practical interpretation of r 2, the coefficient of determination for the least squares model.   a. We expect to predict the shear strength of a triplet test to within about 0.8436 tons of its true value. b. About 84.36% of the total variation in the sample of y-values can be explained by (or attributed to) the linear relationship between shear strength and precompression stress. c. In repeated sampling, approximately 84.36% of…
A tensile test was conducted on a mild steel& the following data was obtained as follows. Diameter of the steel bar = 3 cm,Gauge length of the bar = 20 cm. Load at elastic limit = 250 kN . Extension at a load of 150kN = 0.21 mm . Maximum load = 380 kN . Total extension = 60 mm . Diameter of the rod at failure = 2. 25 cm Determine: (a) Young’s modulus (b) stress at elastic limit (c)the percentage of elongation (d) Percentage decrease in area.

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SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I

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