Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
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Chapter 11, Problem 11.38SP
A rolled brass rod and a steel rod are secured to unyielding supports, as shown. Determine the temperature change required to close the
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In inserting an aluminum piston into a steel cylinder, it is given that the inside diameters of the cylinder and of the piston are 0.500 m and 0.4998 m, respectively, at 25OC. The temperature to which they are heated to obtain a perfect fit is 55.8 degrees celsius. Show the solution.
The cylindrical vessel with hemispherical end caps is made of steel and pressurized to 3.6 MPa. The vessel has a uniform thickness of 18 mm, an outer diameter of 400 mm and effective length of 600 mm. If this vessel is to be replaced with a spherical vessel of equal pressure and equal material strength, determine its thickness.
The ring, with dimensions shown, is placed over a flexible membrane which is pumped up with a pressure p. The thickness r,-r; is small compared to r;
(a) Determine the axial force F in the ring in terms of p, w and r;. Hint: Consider a FBD by cutting the ring+membrane in two.
(b) Determine the hoop stress in the ring.
(c) Determine the hoop strain in the ring. The modulus of elasticity for the ring is E.
(d) Relate the hoop strain to the change in the inner radius of the ring after this pressure is applied, and use this to get the change in the inner radius in terms of p, E, w, r, and ri-
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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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- mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.arrow_forwardA cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The diameter of the pressure vessel is 450 mm, and its length is 2.0 m. Determine the maximum internal pressure that can be applied if the longitudinal stress is limited to 140 MPa, and the circumferential stress is limited to 60 MPa.arrow_forwardA 1-in diameter cylinder 10 in long falls at 0.6 ft/s inside a tube of slightly larger diameter. A castor-oll film (u=6x10-3 lb-s/ft2) of constant thickness is between the cylinder and the tube. Determine the clearance between the cylinders in the tube in inches. (S.G for steel = 7.85)arrow_forward
- A steel pipe 1.5m in diameter is required to carry an internal pressure of 750 KPa. If the allowable tensile stress of steel is 140 MPa, determine the required thickness of the pipe in mm.arrow_forwardAt room temperature (20°C), a 0.5-mm gap exists between the ends of the rods shown. The temperature eventually reaches a value of 140°C. Determine the normal stress in the aluminum rod. Determine the change in length of the aluminum rod.arrow_forwardA cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?arrow_forward
- QUESTION 3 A thin spherical pressure vessel is required to contain 18 m3 of water at a gauge pressure of 700 KPa. Assuming the efficiency of all riveted joints to be 75%, and the maximum stress should not exceed 140 MPa. Determine: 3.1 The diameter of the vessel 3.2 The thickness of the platearrow_forwardPlease complete this exercise with the information added in parentheses (that a new BF bar with a cross section of 143 mm2 is added to the system.)arrow_forwardThe spherical gas tank is fabricated by bolting together two hemispherical thin shells. If the 8-m inner diameter tank is to be designed to withstand a gauge pressure of 2 MPa, determine the minimum wall thickness of the tank and the minimum number of 25-mm diameter bolts that must be used to seal it. The tank and the bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively.arrow_forward
- A pressure vessel has an internal diameter of 1 m and is to be subjected to an internal pressure of 2.75 N/mm2 above the atmospheric pressure. Considering it as a thin cylinder and assuming the efficiency of its riveted joint to be 79%, calculate the plate thickness if the tensile stress in the material is not to exceed 88 MPa.arrow_forwardA solid square steel bar is fixed at one end as shown, and is loaded with a 25 kg weight. If the limiting stress of the bar is 27.24 kPa determine the cross sectional area of the steel square bar and its dimensions.arrow_forwardshows two tubes, one of copper and another of steel of equal length and rigidly connected at their ends so that under all conditions they are of equal length. The copper tube has internal and external diameters of 100 mm and 125 mm respectively whilst the internal and external diameters of the steel tube are 75 mm and 100 mm respectively. If the original length of the tubes was 375 mm, for a temperature rise of 22o C calculate: 1 The stress set up in each tube; 2 The final length of the tubes. Assume: α copper = 18,7 x 10-6/ 0 C; E copper = 82 GPa α steel = 12,6 x 10-6/ 0 C; E steel = 207 GPaarrow_forward
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