Statics and Mechanics of Materials - Modified Access
5th Edition
ISBN: 9780134392363
Author: HIBBELER
Publisher: PEARSON
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Chapter 8.4, Problem 12P
To determine
Find the approximate value of the modulus of resilience and the approximate value of the modulus of toughness
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The stress-strain diagram for an aluminum alloy specimen having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 60 ksi, determine the approximate amount of elastic recovery and the increase in the gage length after it is unloaded.
6. A prismatic bar of length L is subjected to axial load P. Determine the maximum strain & along the bar length, given that the axial displacement along the member length varies according u = (12/L) × 10-3.
The elastic portion of the tension stress–strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gage length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is Gal = 3.811032 ksi.
Chapter 8 Solutions
Statics and Mechanics of Materials - Modified Access
Ch. 8.4 - Define a homogeneous material.Ch. 8.4 - Prob. 2FPCh. 8.4 - Prob. 3FPCh. 8.4 - Prob. 4FPCh. 8.4 - Prob. 5FPCh. 8.4 - As the temperature increases the modulus of...Ch. 8.4 - Prob. 7FPCh. 8.4 - Prob. 8FPCh. 8.4 - Prob. 9FPCh. 8.4 - Prob. 10FP
Ch. 8.4 - The material for the 50-mm-long specimen has the...Ch. 8.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 8.4 - A tension test was performed on a steel specimen...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Prob. 4PCh. 8.4 - The stress-strain diagram for a steel alloy having...Ch. 8.4 - Prob. 6PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 9PCh. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - Prob. 12PCh. 8.4 - A bar having a length of 5 in. and cross-sectional...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - Prob. 16PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.6 - A 100 mm long rod has a diameter of 15 mm. If an...Ch. 8.6 - A solid circular rod that is 600 mm long and 20 mm...Ch. 8.6 - Prob. 15FPCh. 8.6 - Prob. 16FPCh. 8.6 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 8.6 - The plug has a diameter of 30 mm and fits within a...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The brake pads for a bicycle tire arc made of...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - Prob. 27PCh. 8.6 - The shear stress-strain diagram for an alloy is...Ch. 8.6 - Prob. 29PCh. 8 - The elastic portion of the tension stress-strain...Ch. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - The stress-strain diagram for polyethylene, which...Ch. 8 - The pipe with two rigid caps attached to its ends...Ch. 8 - Prob. 9RPCh. 8 - Prob. 10RP
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- The stress–strain diagram for an aluminum alloy specimen having an original diameter of 0.5 in. and a gauge length of 2 in. is given in the figure. Determine approximately the modulus of resilience and the modulus of toughness for the material.arrow_forwardDetermine the strain if a rod is experiencing a stress of 70,000kPa with a modulus of elasticity of 175 GPa.a. 300 x 10−6b. 400 x 10−6c. 500 x 10−6d.. 600 x 10−6arrow_forwardA bar has a length of 200 mm and cross-sectional area of 7500 mm2. Determine the modulus ofelasticity of the material if it is subjected to an axial tensile load of 50 kN and stretches 0.075 mm.The material has linear-elastic behavior.arrow_forward
- A bar has a length of 200 mm and cross-sectional area of 7500mm^2. Determine the modulus of elasticity of the material if it is subjected to an axial tensile load of 50 kN and stretches 0.075 mm. The material has linear-elastic behavior.arrow_forwardThe bar has a cross-sectional area of 0.5 in2 and is made of a material that has a stress-strain diagram that can be approximated by the two line segments. Determine the elongation of the bar due to the applied loading.arrow_forwardThe pipe assembly shown is subjected to a force F = 7 kN and P = 14 kN. It is made of steel with Sy = 250 MPa. Determine the safety factor at point H using the maximum shear stress theory. Select one: a. NH = 6.427 b. NH = 3.570 c. NH = 5.355 d. NH = 4.590arrow_forward
- The A-36 steel bar consists of two segments, one of a circular cross-section of radius r, and one of square cross-section. If the bar is subjected to the axial loading of P, determine the dimensions of the square segment so that the strain energy within the square segment is the same as in the circular segment.arrow_forwardThe stress–strain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi, determine the approximate amount of elasticrecovery and the increase in the gage length after it is unloaded.arrow_forwardThe 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Pa = -780(10-6), Pb = 400(10-6), and Pc = 500(10-6). Determine (a) the principal strains and (b) the maximumin-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains.arrow_forward
- v) A delta strain gauge is attached to the member at point ‘X’ as highlighted in the figure. During a particular stage of a lifting process, strain readings are recorded as detailed. Determine the magnitude and nature of the principal stresses acting on the member at point ‘X’, the maximum shear stress, and the angle of the principal planes. Young’s Modulus of elasticity = 205 GN/m2Poisson’s ratio = 0.31arrow_forward5 decimal places Determine the total strain (mm/mm) of a 2.64-m bar with a diameter of 21 mm subjected to a tensile force of 71 kN at a temperature increase of 49 C°. Consider the α=27.3 µm/mC° and E = 122 GPa.arrow_forwardThe elastic portion of the stress–strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of 12.7 mm and a gage length of 50.8 mm. If a load of P = 60 kN is applied to the specimen, determine its new diameter and length. Taken = 0.35.arrow_forward
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