Homework Answers
Add Answer to:
Figure < 1 of 1 Consider, for instance, a bar of initial length L and cross-sectional...
Question 1 (10 marks) Consider the bar element shown in Figure 1. Cross sectional area A...
Question 1 (10 marks) Consider the bar element shown in Figure 1. Cross sectional area A = 200 mm and Young's modulus E = 200 x 107 kPa. If u = 3 mm and u2 = 2 mm, determine: (a) the displacement at point P, (b) the strain, (c) the stress, and (d) the strain energy in the element. U] U2 x = 400 mm xi = 200 mm x2 = 700 mm Figure 1 EAL 2 Note: the strain...
3. 2090] Consider a uniform bar of Young's modulus E, cross-sectional area A, moment of inertia d...
3. 2090] Consider a uniform bar of Young's modulus E, cross-sectional area A, moment of inertia density p, length L, with an attached end mass, m, connected to a rigid wall via a linear spring of spring constant, k, see Figure. Let the longitudinal vibration of the bar be Wa.f). (a) [4] Write down the boundary conditions. m E, p Boundary condition at x 0 Boundary condition at x L (b) [81 Derive the equation for the natural frequency (c)...
A steel wire of length 1.93 m with circular cross section must stretch no more than...
A steel wire of length 1.93 m with circular cross section must stretch no more than 0.300 cm when a tensile (stretching) force of 440 N is applied to each end of the wire. Part A What minimum diameter dmin is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be Y = 2.00×1011 Pa . View Available Hint(s)
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E...
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E = 35 x 106 psi. If ui = 0.02 in, and u2 = 0.025 in., considering linear interpolation, determine the following: (a) the displacement at point P; (b) the strain & and stress o; and (c) the element stiffness matrix. u2 2 x = 20 in. x = 15 in. X = 23 in.
5. EVALUATION I. Create a stress-strain diagram for the measured values in table 1 and identify...
5. EVALUATION I. Create a stress-strain diagram for the measured values in table 1 and identify the mechanical properties of the material. (4 marks) II. Identify the following and label them in the graph. (12 marks) • Young's modulus Yield strength Elongation Ultimate tensile strength THEORETICAL BACKGROUND Equations: Cross-sectional Area (A) Modulus of Elasticity (E) Tensile Strength (ST) Percent Elongation (%EL) d? E = Sy Ey Sr Pu А %EL Extension at fracture Gauge Length Where: A: Cross- Sectional Area...
1. Consider a bar under tension. The bar has length L, rectangular cross-section of sides b...
1. Consider a bar under tension. The bar has length L, rectangular cross-section of sides b and h, Young's modulus E, density p, and applied tensile force P. a) If all parameters are fixed except for h, find the value of h that minimizes the mass of the bar under stress, elongation, and stiffness constraints. Assume safety factors oo, Os, and Ok and failure values o*, 8*, and k* b) Also find the minimum mass of the bar m under...
A brass rod with a length of 1.50 m and a cross-sectional area of 2.50 cm2...
A brass rod with a length of 1.50 m and a cross-sectional area of 2.50 cm2 is fastened end to end to a nickel rod with length L and cross-sectional area 0.880 cm2 . The compound rod is subjected to equal and opposite pulls of magnitude 3.46×104 N at its ends. a.Find the length L of the nickel rod if the elongations of the two rods are equal. b.What is the stress in the brass rod? c.What is the stress...
Write down which one of the following statements is false: (A) for a wire of a...
Write down which one of the following statements is false: (A) for a wire of a certain substance and certain cross-sectional area, the spring constant is inversely proportional to natural length (B) Young's modulus is the gradient of stress as a function of strain (C) uids do not have a bulk modulus (D) spring constant is the gradient of load as a function of deformation (E) some substances do not obey Hooke's Law at all
Consider a steel guitar string of initial length 2.00m and cross-sectional area A = 0.500mm^2. The...
Consider a steel guitar string of initial length 2.00m and cross-sectional area A = 0.500mm^2. The Young s modulus of the steel is 2.0 times 10^11 N/m^2. How far would such a string stretch under a tension of 1500 N?
Problem 1 Consider the bar shown below with a cross-sectional area A, 1.2 m2, and Young's...
Problem 1 Consider the bar shown below with a cross-sectional area A, 1.2 m2, and Young's modulus E-200 X 109 Pa. Ifq,-0.02 m and q,-0.025 m determine the following (by hand calculation) (a) the displacement at point P., (b) the strain E and stress σ (e) the element stiffness matrix, and (d) the strain energy in the element 91 *p 20 m x,-15 m x,-23 m Problem 2. Consider a finite element with shape functions N1) and N2(Š) used to...
Question 1 (10 marks) Consider the bar element shown in Figure 1. Cross sectional area A = 200 mm and Young's modulus E = 200 x 107 kPa. If u = 3 mm and u2 = 2 mm, determine: (a) the displacement at point P, (b) the strain, (c) the stress, and (d) the strain energy in the element. U] U2 x = 400 mm xi = 200 mm x2 = 700 mm Figure 1 EAL 2 Note: the strain...
3. 2090] Consider a uniform bar of Young's modulus E, cross-sectional area A, moment of inertia density p, length L, with an attached end mass, m, connected to a rigid wall via a linear spring of spring constant, k, see Figure. Let the longitudinal vibration of the bar be Wa.f). (a) [4] Write down the boundary conditions. m E, p Boundary condition at x 0 Boundary condition at x L (b) [81 Derive the equation for the natural frequency (c)...
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E = 35 x 106 psi. If ui = 0.02 in, and u2 = 0.025 in., considering linear interpolation, determine the following: (a) the displacement at point P; (b) the strain & and stress o; and (c) the element stiffness matrix. u2 2 x = 20 in. x = 15 in. X = 23 in.
5. EVALUATION I. Create a stress-strain diagram for the measured values in table 1 and identify the mechanical properties of the material. (4 marks) II. Identify the following and label them in the graph. (12 marks) • Young's modulus Yield strength Elongation Ultimate tensile strength THEORETICAL BACKGROUND Equations: Cross-sectional Area (A) Modulus of Elasticity (E) Tensile Strength (ST) Percent Elongation (%EL) d? E = Sy Ey Sr Pu А %EL Extension at fracture Gauge Length Where: A: Cross- Sectional Area...
1. Consider a bar under tension. The bar has length L, rectangular cross-section of sides b and h, Young's modulus E, density p, and applied tensile force P. a) If all parameters are fixed except for h, find the value of h that minimizes the mass of the bar under stress, elongation, and stiffness constraints. Assume safety factors oo, Os, and Ok and failure values o*, 8*, and k* b) Also find the minimum mass of the bar m under...
Consider a steel guitar string of initial length 2.00m and cross-sectional area A = 0.500mm^2. The Young s modulus of the steel is 2.0 times 10^11 N/m^2. How far would such a string stretch under a tension of 1500 N?
Problem 1 Consider the bar shown below with a cross-sectional area A, 1.2 m2, and Young's modulus E-200 X 109 Pa. Ifq,-0.02 m and q,-0.025 m determine the following (by hand calculation) (a) the displacement at point P., (b) the strain E and stress σ (e) the element stiffness matrix, and (d) the strain energy in the element 91 *p 20 m x,-15 m x,-23 m Problem 2. Consider a finite element with shape functions N1) and N2(Š) used to...
Most questions answered within 3 hours.
-
A 8.15- g bullet from a 9-mm pistol has a velocity of 366.0 m/s.
It strikes...
asked 31 seconds ago -
The Problem: The Case of the Harmonizing Vacations
Your CEO is exploring partnering with a European...
asked 1 hour ago -
A chemical equation is balanced by adding coefficients in front
of some formulas so that the...
asked 1 hour ago -
From the literature (reference your sources): What are the
lattice parameters of calcite and aragonite? Why...
asked 2 hours ago -
Your system is rejecting the question am asking which is
preceded by a case study. It...
asked 2 hours ago -
3. On January 2, 2000, Larry creates a trust with himself as
trustee. Larry as trustee...
asked 2 hours ago -
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 2 hours ago -
Are adult gamers less likely to use a gaming console (Xbox,
PlayStation, Wii, etc...) than teen...
asked 3 hours ago -
The University of
Texas recently reported that 43% of college students aged 18-24
would spend their...
asked 3 hours ago -
The length of stay at a specific emergency department in
Phoenix, Arizona, in 2009 had a...
asked 2 hours ago -
. Please give the mechanism for this type of problem. Step by
Step
The toxin that...
asked 2 hours ago -
If you have a 1M stock solution and you want to dilute 1 :10
with water,...
asked 2 hours ago