STANDALONE CODE MECHANICS OF MATERIALS-M
11th Edition
ISBN: 9780137605200
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 3.4, Problem 2P
Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine the modulus of elasticity and the modulus of resilience.
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Let’s consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young’s modulus E = 200 Gpa and a Poisson’s ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F.
Remake the diagram for this problem. Empasize the area of 1,2,3, 4 and refer to the solution.
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Determine the stress resultants N(x), V(x), M(x) and draw the diagrams of the stress resultants and calculate the extremal values. At first, consider all parameters (F, a, L, ...) as variables and fill in their actual values at the end of your calculation.
Chapter 3 Solutions
STANDALONE CODE MECHANICS OF MATERIALS-M
Ch. 3.4 - Define a homogeneous material.Ch. 3.4 - Indicate the points on the stress-strain diagram...Ch. 3.4 - Define the modulus of elasticity E.Ch. 3.4 - At room temperature, mild steel is a ductile...Ch. 3.4 - Engineering stress and strain are calculated using...Ch. 3.4 - As the temperature increases the modulus of...Ch. 3.4 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.4 - A bar has a length of 8 in. and cross-sectional...Ch. 3.4 - A 10-mm-diameter rod has a modulus of elasticity...Ch. 3.4 - The material for the 50-mm-long specimen has the...
Ch. 3.4 - The material for the 50-mm-long specimen has the...Ch. 3.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 3.4 - Data taken from a stress-strain test for a ceramic...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - Determine the elongation of the square hollow bar...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - A structural member in a nuclear reactor is made...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - Direct tension indicators are sometimes used...Ch. 3.4 - A tension test was performed on a magnesium alloy...Ch. 3.4 - The stress-strain diagram for a bone is shown and...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.7 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.7 - A solid circular rod that is 600 mm long and 20 mm...Ch. 3.7 - A 20-mm-wide block is firmly bonded to rigid...Ch. 3.7 - A 20-mm-wide block is bonded to rigid plates at...Ch. 3.7 - The acrylic plastic rod is 400mm long and 20mm in...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - Prob. 32PCh. 3.7 - The thin-walled tube is subjected to an axial...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The rigid beam rests in the horizontal position on...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - Prob. 5RPCh. 3 - diameter steel bolts. If the clamping force in...Ch. 3 - The stress-strain diagram for polyethylene, which...Ch. 3 - The pipe with two rigid caps attached to its ends...Ch. 3 - The 8-mm-diameter bolt is made of an aluminum...Ch. 3 - An acetal polymer block is fixed to the rigid...
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- You must perform mechanical tests with a linear elastic material (the material follows Hooke's law) applying forces (tension) in the range 0 to Fmax/2 for Sample A and between 0 to Fmax for Sample B. The samples are made of same material but have different geometries (see illustration). (a) Which of the two samples receives the maximum stress (σmax)? (b) Which of the two samples will have the larger length change (ΔLmax)? (c) Plot the expected curves for the two samples in the force-length and stress-strain planes. (d) Clearly indicate the values that the variables force, length, stress, and strain take at the beginning and end of each curve.arrow_forwardLet's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F.arrow_forwardLet’s consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young’s modulus E = 200 Gpa and a Poisson’s ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.998 mm. determine the applied force F. Select one: F = 6283 N F = 10472 N F = 4189 N F = 5236 N F = 13090 N F = 15708 Narrow_forward
- Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: F = 10472 N O F = 6283N O F= 15708 N O F = 4189N O F = 5236 N O F = 13090 N Clear my choicearrow_forwardSolve it quickly pleasearrow_forwardThe question is related to Modulus of rigidity and is attached as an image.arrow_forward
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- If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, What is the axial strain in the cylinder wall at mid-depth?arrow_forwardDetermine the change in length, width and thickness of steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200 GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.arrow_forwardStress strain behavior of a cast iron with a diameter of 15.8mm and gauge length of 60.80mm is shown in the graphs. Find the ductility in percent elongationarrow_forward
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