Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 11, Problem 11.37SP
The steel rails of a railroad track are laid in the winter at a temperature of
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In figure A, the homogeneous rod of constant cross section is attached to unyielding supports. In figure B, a homogeneous bar with a cross-sectional area of 600 mm2 is attached to rigid supports. The bar carries the axial loads P1 = 20 kN and P2 = 60 kN, as shown.1. In figure A, derive the expression that calculates the reaction R1 in terms of P, and the given dimensions.2. In figure B, calculate the reaction (kN) at A.3. In figure B, calculate the maximum axial stress (MPa) in the rod.
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Chapter 11 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 11 - Prob. 11.1PCh. 11 - A rectangular ASTM A36 steel bar 2 in. by 6 in. in...Ch. 11 - Calculate Poisson’s ratio for a cast iron that has...Ch. 11 - Modulus of elasticity, modulus of rigidity, and...Ch. 11 - Compute all the dimensional changes for the steel...Ch. 11 - A surveyor’s steel tape is exactly 100ft long...Ch. 11 - An aluminum wire is stretched between two rigid...Ch. 11 - Prob. 11.8PCh. 11 - A concrete roadway pavement is placed in 60ftlong...Ch. 11 - Prob. 11.10P
Ch. 11 - A 4in. -by- 8in . short wood post is reinforced on...Ch. 11 - A short post. 150mm by 150mm , of Douglas fir, is...Ch. 11 - The cables of a power line are copper-coated steel...Ch. 11 - Prob. 11.14PCh. 11 - For the short column shown, assuming that lateral...Ch. 11 - A 1.0 -in.-diameter hole is drilled on the...Ch. 11 - Prob. 11.17PCh. 11 - A long, flat steel bar 4 in. wide and 38 thick is...Ch. 11 - A long, flat steel bar 5 in. wide and 38 thick has...Ch. 11 - 11.20 An aluminum specimen of circular cross...Ch. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - 11.23 A concrete cylinder, -in, in diameter, was...Ch. 11 - Prob. 11.24PCh. 11 - For the element of Problem 11.24: a. Locate the...Ch. 11 - Prob. 11.26CPCh. 11 - Prob. 11.27CPCh. 11 - Prob. 11.28CPCh. 11 - Prob. 11.29CPCh. 11 - A 50 -mm-diameter ASTM A36 steel rod is subjected...Ch. 11 - A 4 -ft-long square ASTM A36 steel bar, 2 in. by 2...Ch. 11 - A concrete test cylinder is 150 mm in diameter and...Ch. 11 - A 14 -in.-long steel rod, 112 in diameter, was...Ch. 11 - Determine the change in the diameter of an ASTM...Ch. 11 - 11.35 The steel bar shown in Figure 11.3 (see...Ch. 11 - Compute the change in the thickness of the ASTM...Ch. 11 - The steel rails of a railroad track are laid in...Ch. 11 - A rolled brass rod and a steel rod are secured to...Ch. 11 - 11.39 A -m-long steel member is set snugly between...Ch. 11 - 11.40 The distance between two fixed points on a...Ch. 11 - A steel truss is loaded as shown. The...Ch. 11 - 11.42 For the truss of Problem 5.25, the members...Ch. 11 - A surveyor’s steel tape has a cross-sectional area...Ch. 11 - A 1 -in.-diameter ASTM A36 steel tie rod, 30 ft...Ch. 11 - 11.45 A copper wire is held taut between two...Ch. 11 - 11.46 A horizontal steel member is anchored at...Ch. 11 - 11.47 Three vertical steel wires are loaded as...Ch. 11 - 11.48 Assume for Problem 11.47 that the same load...Ch. 11 - The rod shown is firmly attached to rigid...Ch. 11 - 11.50 A structural steel bar mm in width and mm...Ch. 11 - A redwood timber member having a 16 -in.-square...Ch. 11 - A steel pipe has an outside diameter of 12 in. and...Ch. 11 - A short 14 -in.-square concrete pier is reinforced...Ch. 11 - An ASTM A36 steel rod, 375.06 mm long and having a...Ch. 11 - An aluminum rod with an area of 1.5in.2 and an...Ch. 11 - A solid brass cylinder with a cross-sectional area...Ch. 11 - Three 14 in.-diameter wires are symmetrically...Ch. 11 - Rework Problem 11.57 with outer wires of aluminum,...Ch. 11 - Three rods support a weight, as shown. The...Ch. 11 - A flat steel bar 4 in. wide and 12 thick must be...Ch. 11 - A 19 -mm-diameter hole is drilled on the...Ch. 11 - A flat bar is 38 thick and has a centrally located...Ch. 11 - A long, flat steel bar 125 mm wide and 10 mm thick...Ch. 11 - 11.64 A short -in.-diameter compression member is...Ch. 11 - Prob. 11.65SPCh. 11 - 11.66 A rectangular block of wood, in. by in. in...Ch. 11 - 11.67 A -mm-diameter rod is subjected to an axial...Ch. 11 - The rectangular plate shown is subjected to a...Ch. 11 - A wood block, subjected to a tensile load, fails...Ch. 11 - Prob. 11.70SPCh. 11 - A shaft in a speed-reduction mechanism is loaded...Ch. 11 - An axially loaded 50 -mm-by- 75 -mm steel bar has...
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- (Read Image)arrow_forwardM16x2 grade 8.8 bolts No. 25 C1- Q.2. The figure is a cross section of a grade 25 cast-iron pressure vessel. A total of N, M16x2.0 grade 8.8 bolts are to be used to resist a separating force of 160 kN. (a) Determine ks, km, and C. (b) Find the number of bolts required for a load factor of 2 where the bolts may be reused when the joint 19 mm is taken apart. (c) with the number of bolts obtained in (b), determine the realized load factor for overload, the yielding factor of safety, and the separation factor of safety. 19 mmarrow_forwardProblem4. The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The mass of the shaft is negligible compared to the mass of the disk. a. Find the angular momentum of the disk with respect to point G, based on the axis orientation as shown. Include an MVD in your solution. b. Find the angular momentum of the disk with respect to point O, based on the axis orientation as shown. (Note: O is NOT the center of fixed-point rotation.) c. Find the kinetic energy of the assembly. z R R 002 2R x Answer: H = -0.046ĵ-0.040 kg-m²/sec Ho=-0.146-0.015 kg-m²/sec T 0.518 N-m =arrow_forward
- Problem 3. The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a particular moment. Find the angular momentum with respect to point O, in terms of the axes shown. Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k 3 m r b 2 C لا marrow_forwardOnly question 2arrow_forwardOnly question 1arrow_forward
- Only question 3arrow_forwardI have Euler parameters that describe the orientation of N relative to Q, e = -0.7071*n3, e4 = 0.7071. I have Euler parameters that describe the orientation of U relative to N, e = -1/sqrt(3)*n1, e4 = sqrt(2/3). After using euler parameter rule of successive rotations, I get euler parameters that describe the orientation of U relative to Q, e = -0.4082*n1 - 0.4082*n2 - 0.5774*n3. I need euler parameters that describe the orientation of U relative to Q in vector basis of q instead of n. How do I get that?arrow_forwardDescribe at least 4 processes in engineering where control charts are (or should be) appliedarrow_forward
- Describe at least two (2) processes where control charts are (or should be) applied.arrow_forwardProblem 3: A cube-shaped spacecraft is in a circular Earth orbit. Let N (n,) be inertial and the spacecraft is denoted S (ŝ₁). The spacecraft is described such that ¯½º = J ŝ₁ŝ₁ + J ŝ₂§₂ + J §¸Ŝ3 Location of the spacecraft in the orbit is determined by the orbit-fixed unit vectors ê, that are oriented by the angle (Qt), where is a constant angular rate. 52 €3 3> 2t 55 Λ Из At the instant when Qt = 90°, the spacecraft S is oriented relative to the orbit such that 8₁ = 0° Space-three 1-2-3 angles 0₂ = 60° and ES = $₂ rad/s 0₁ = 135° (a) At this instant, determine the direction cosine matrix that describes the orientation of the spacecraft with respect to the inertial frame N.arrow_forwardThis problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 1.100 kN, P = 8.00 kN, and T = 50.00 N-m. Given: Sy = 280 MPa. B -100 mm- 15-mm D. a) Determine the value of the axial stress at point B. b) Determine the value of the shear stress at point B. c) Determine the value of the Von Mises stress at point B. P Farrow_forward
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