A composite axial member consists of a tubular shell (1) bonded to length AB of a continuous solid rod that extends from A to C, which is labeled (2) and (3). A concentrated load P is applied to free end C of the rod in the direction shown. Determine the internal forces and normal stresses in shell (1) and core (2) (i.e., between A and B). (+ = tension, compression). %3D - =

A composite axial member consists of a tubular shell (1) bonded to length AB of a continuous solid rod that extends from A to C, which is labeled (2) and (3). A concentrated load P is applied to free end C of the rod in the direction shown. Determine the internal forces and normal stresses in shell (1) and core (2) (i.e., between A and B). (+ = tension, compression). %3D - =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

5. (a) (b) (c) Koo D d An Aluminium alloy (6061-T6) circular tube (Fig.Q5) used for vehicle fittings is under axial compression. The tube has a length L = 5m, outer diameter D = 65mm and inner diameter d = 55mm. The Young's modulus of Aluminium alloy 6061-T6 is E= 68.9 GPa and yield strength ay = 276 MPa. Determine the buckling load with the Euler formula, assuming the tube to be pin-jointed at the two ends Determine the buckling load with the Euler formula, assuming the tube to be fixed at the two ends Assuming the tube to be pin-jointed at both ends, determine the length of the tube, below which the Euler formula is no longer valid Fig.Q5 L-
A disk of SBR elastomer 3.0 cm in diameter 0.5 cmthick is used as a cushioning surface between two steel rods ofthe same diameter, as shown below (not to scale). a. If the rods are brought together with an axial force of 100 N such that the SBR is compressed elastically between them, what is the thickness of the SBR under load? b. Under the same conditions as part (a), what is the greatest possible diameter of the SBR under load? c. If the SBR is bonded to the rods, how far can one rod be rotated with respect to the other before the SBR/rod interface fractures? Assume that the rods are essentially rigid and the distance between them remains constant. Please answer in degrees of rotation.
1.8-4 The inclined ladder AB supports a house painter (85 kg) at C and the weight (q = 40 N/m) of the ladder itself. Each ladder rail (t, = 4 mm) is sup- ported by a shoe (t, = 5 mm) that is attached to the ladder rail by a bolt of diameter d, = 8 mm. %3D %3D %3D Typical rung Ladder rail (t, = 4 mm) Shoe bolt (d, = 8 mm) Ladder shoe (t, = 5 mm) ts Section at base Shoe b A PROBLEM 1.8-4
A square plastic bar (length LP,side dimension sp=193 mm) is inserted inside a hollow.square cast iron tube (length Le = 400 mm. side sc=200 mm,and thickness tc=3 mm). (A)What is the required initial length L,of the plastic bar so that.ilcn it is compressed by some force the final length of bar and tube are equal to length L and,at the same time, the gap beten plastic bar and cast iron tube is closed? (B) Compare initial and final volumes for the plastic bar. Assume that E = 170 GP E,= 2.1GPa.v = 0.3.and = 0.4.
3.3 m 4,9m Ax = 23.370 mm %3D Interconnected rods up to 23.370 mm from the right end it's pulled and fixed. Length of Bar No. 1 3.3 m, cross-sectional area 2.4 cm2 and yield stress 215 MPa; No. 2 length of Rod 4.9 m, cross-sectional area 2.8 cm2 and yield its stretch is 387 MPA. Elasticity of both materials module 207 MPa and materials elastic / excellent since it's plastic: How much plastic elongation amount of Bar No: 1 meters? How many meters is the lengthening of Rod 2? How many normal stresses in Rod Section 2 Is it an MPA? 3.
35 mm 10 kN-m 2.36 x106 mm 70 GPa %3D %3D (1) C2 40 mm (2) 4.02 x106 mm %3D B 2800 mm 45 GPa C 3600 mm A composite torsion member consists of two solid shafts joined at flange B. Shafts (1) and (2) are attached to rigid supports at A and C, respectively. T1 kN-m A concentrated torque T is applied to flange B in the T2 kN-m direction shown. Determine the internal torques and MPа shear stresses in each shaft. Also, determine the rotation angle of flange B. MPa ((Use the sign convention detailed in the fourth scene of this movie for internal torques and rotation angles.) PB rad 1st 2nd 3rd Enter Shaft properties I| ||||
A uniform, 8.0 m, 1150 kgbeam is hinged to a wall and supportedby a thin cable attached 2.0m from the free end of the beam(Fig. ). The beam is supportedat an angle of 30.0° above thehorizontal. (a) Draw a free-body diagramof the beam. (b) Find the tensionin the cable. (c) How hard doesthe beam push inward on the wall?
(I) A steel rod with a radius of 2.5 cm, the ends of which are fixed, is subjected to a tension force of modulus 18 kN at both ends. What is the stress if the temperature (a) drops by 11°C; (b) rises by 11 °C? (Young's modulus of steel is 2x10^11 N/m2.)
H.W.6: A hollow circular cold-rolled bronze [G, = 6,500 ksi] tube (1) with an outside diameter of 1.75 in. and an inside diam- eter of 1.25 in. is securely bonded to a solid 1.25-in.-diameter cold-rolled stainless steel [G2 = 12,500 ksi] core (2) as shown in Figure and the allowable shear stress of core (2) is 60 ksi. Determine . The allowable shear stress of tube (1) is 27 ksi, (a) the allowable torque T that can be applied to the tube-and- core assembly. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced in a 10-in. length of the assembly by the allowable torque T. (1) T TA FIGURE
H.W.6: A hollow circular cold-rolled bronze [G, = 6,500 ksi] tube (1) with an outside diameter of 1.75 in. and an inside diam- eter of 1.25 in. is securely bonded to a solid 1.25-in.-diameter cold-rolled stainless steel [G2 = 12,500 ksi] core (2) as shown in Figure and the allowable shear stress of core (2) is 60 ksi. Determine . The allowable shear stress of tube (1) is 27 ksi, (a) the allowable torque T that can be applied to the tube-and- core assembly. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced in a 10-in. length of the assembly by the allowable torque T. (1) (2) T. FIGURE
5. Design an oval flanged pipe joint for pipes of internal diameter 50 mm subjected to a fluid pressure of 7 N/mm². The maximum tensile stress in the pipe material is not to exceed 21 MPa and in the bolts 28 MPa. [Ans. 1= 12 mm; d = 30 mm; 1,= 38 mm]
CONCEPTUAL: 1. Consider a deformable homogenous siender rod of constant area along its length. It is axially loaded at points A and C. According to Saint-Venant's Principle, which of the following point(s) islare the actual maximum axial stress underestimated the most by the average stress? B F L PROBLEM SOLVING: A rigid bar is supported by three non-rigid steel rods, as shown. Rods AB and FG are 0.8m long with a cross-sectional diameter of 30mm. Rod CDE is made up of equally-long 0.40-m CD and DE whose cross-sectional diameters are 60mm and 30mm, respectively. A 45KN downward load is applied to the rigid bar. There is no initial strain before the application of the load. Let E steel-200GP. 2. Determine the internal forces on rods AB, CDE, and FG 3. Determine the displacement of the rigid bar. 4. If the allowable displacement of the horizontal rigid bar is 0.071mm downwards, what maximum allowable vertical load can be applied for a factor of safety of 3? 0.40 m 60mm D 0.8 m 30mmo 0.8 m…