RESISTENCIA DE MATERIALES: Métodos de energía Available at: http://tesis. caite.info [Accessed 3. View Hibbeler - Mecánica de materiales 8a caite.info from FISICA at Antonio Nariño University. MECANICA DE MATERIALES [RUSSELL C. HIBBELER] on caite.info *FREE * shipping on qualifying offers. Esta edición ofrece una presentación clara y.

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Scribd is the world's largest social reading and publishing site. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. •5–1. A shaft is made of a steel. Mecanica de Materiales 6ta Edicion caite.infoer - Solucionario. Uploaded by. E. Negrete Pineda. Download with Google Download with Facebook.

The built-up shaft is to be designed to rotate 75 mm at rpm while transmitting 30 kW of power. Solucionario de singer. It is intended to manufacture a circular bar to resist torque; however, the bar is made elliptical in the process of manufacturing, with one dimension smaller than the other kd d by a factor k as shown. The solid shaft has a diameter of 0. The motor delivers 40 hp to the stainless steel shaft while it rotates at 20 Hz. Submit Search. J 80 10 - 9 p The shear stress distribution along the radial line is shown in Fig.

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Amazon Rapids Fun stories for kids on the go. Amazon Restaurants Food delivery from local restaurants. ComiXology Thousands of Digital Comics. DPReview Digital Photography. East Dane Designer Men's Fashion. Shopbop Designer Fashion Brands. B the angle of twist of gear C with respect to gear D. Tmax c The shaft is made of A steel. It has a diameter of A B 1 in. Determine the angle of twist of B with C respect to D.

Determine the angle of twist of gear C with C respect to B. The two shafts are made of A steel. Each has a diameter of 1 in.

B, and C, which allow free rotation. If the support at D is D fixed, determine the angle of twist of end B when the torques are applied to the assembly as shown. If the support at D is D fixed, determine the angle of twist of end A when the torques are applied to the assembly as shown. The device serves as a compact torsional spring. It is made of A steel and consists of a solid inner shaft CB 12 in. The ring at A can also be assumed rigid 12 in. C Internal Torque: TBC c 2. The device serves as a compact torsion spring.

B rigid ring at B. The ring at A can also be assumed rigid and 0. The A steel assembly consists of a tube having B an outer radius of 1 in. Using a rigid plate at B, it is connected to the solid 1-in-diameter C shaft AB.

The mm diameter shaft ABC is supported by two journal bearings, while the mm diameter shaft EH is mm E fixed at E and supported by a journal bearing at H. The shafts are made of A steel.

H T2 mm B 75 mm mm C Equilibrium: Referring to the free - body diagram of shaft ABC shown in Fig. Referring to the free - body diagram of gear D in Fig. The mm diameter shaft ABC is supported by two journal bearings, while the mm diameter shaft EH is fixed mm E at E and supported by a journal bearing at H.

If the angle A D of twist at gears A and C is required to be 0. The H T2 shafts are made of A steel. Continued Solving Eqs. The shafts are made of A steel and each has a diameter of 80 mm.

Determine the angle of twist at end E. Referring to the free - body diagram of shaft CDE shown in Fig. Referring to the free - body diagram of gear B, Fig. The polar moment of inertia of the shafts are A 0.

Determine the angle of twist of gear D. Referring to the free-body diagram of shaft CDE shown in Fig. The mm diameter shaft is made of T6 aluminum alloy and subjected to the torsional loading 0.

Determine the angle of twist at end A. Referring to the free - body diagram of segment AB shown in Fig. The tapered shaft has a length L and a radius r at end A and 2r at end B.

If it is fixed at end B and is subjected to a torque T, determine the angle of twist of end A. The B shear modulus is G. T 2r L Geometry: The rod ABC of radius c is embedded into a medium where the distributed torque reaction varies linearly from L zero at C to t0 at B.

If couple forces P are applied to the lever 2 L arm, determine the value of t0 for equilibrium. Also, find the 2 angle of twist of end A. The rod is made from material having a shear modulus of G.

Referring to the free-body diagram of the entire rod shown in Fig.

L Internal Loading: Continued Angle of Twist: When drilling a well, the deep end of the drill pipe TB B is assumed to encounter a torsional resistance TA. Furthermore, soil friction along the sides of the pipe creates a linear distribution of torque per unit length, varying from zero at the surface B to t0 at A.

Determine the necessary torque TB that must be supplied by the drive unit to turn the pipe. Also, what is the relative angle of twist of one end of the pipe with respect to the other end at the instant the pipe is about to turn?

The pipe has an outer radius ro and an L inner radius ri. The shear modulus is G.

A cylindrical spring consists of a rubber annulus ro bonded to a rigid ring and shaft. If the ring is held fixed and r a torque T is applied to the rigid shaft, determine the angle of twist of the shaft.

The shear modulus of the rubber is G. The A steel shaft has a diameter of 50 mm and is fixed at its ends A and B. TAc 0. The A steel shaft has a diameter of 60 mm and is fixed at its ends A and B. Thus, the absolute maximum shear stress occurs here. TAC c The steel shaft is made from two segments: AC has a A diameter of 0. If it is 0. B 12 in. TCD c 2. Thus, the maximum shear stress occurs here. TCD C 2. The shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core.

This torque is to be transmitted to the pinion gears at E E F and F. If these gears are temporarily fixed, determine the maximum shear stress in segments CB and BD of the shaft.

The C D bearings at C and D only exert force reactions on the shaft and do not resist torque. A Equilibrium: If the shaft has the A dimensions shown, determine the reactions at the fixed supports A and C. Segment AB has a diameter of 1. B 60 in. C 48 in. Compatibility condition: TCL TC Each has a B diameter of 25 mm and they are connected using the gears D fixed to their ends. Their other ends are attached to fixed F supports at A and B.

They are also supported by journal 50 mm 0. Determine the rotation of the gear at E in B Prob. TAL The shafts are made of A steel and have the same diameter of 4 in. If a torque of 15 kip ft is applied to 2. Compatibility Equation: The two 3-ft-long shafts are made of T6 A aluminum. Each has a diameter of 1. Their other B ends are attached to fixed supports at A and B.

If a torque of lb ft is applied to the top gear as shown, determine the maximum E 3 ft shear stress in each shaft. The A steel shaft is made from two segments: AC A has a diameter of 0. B Equilibrium: TB c 0. The shaft is made of T6 aluminum alloy and is fixed at A and C. Referring to the free - body diagram of the shaft shown in Fig. Using the method of superposition, Fig. By inspection, the maximum internal torque occurs at support A. The tapered shaft is confined by the fixed supports at A and B.

If a torque T is applied at its mid-point, determine the reactions at the supports. T 2c A B Equilibrium: Determine the t0 reactions at the fixed supports A and B. Compare the values of the maximum elastic shear stress and the angle of twist developed in stainless steel shafts having circular and square cross sections.

Each shaft has the same cross-sectional area of 9 in2, length of 36 in. For circular shaft TL 36 A B For rectangular shaft 7. The rectangular shaft has a greater maximum shear stress and angle of twist. By what percentage is the a b shaft of circular cross section more efficient at withstanding the torque than the shaft of elliptical cross section?

For the circular shaft: It is intended to manufacture a circular bar to resist torque; however, the bar is made elliptical in the process of manufacturing, with one dimension smaller than the other kd d by a factor k as shown. Determine the factor by which the maximum shear stress is increased. The shaft is made of red brass C and has an A elliptical cross section.

C 50 mm 2TBC 2 Solve Prob. Segments AB and BC of the shaft have circular and square cross sections, respectively. The shaft is made from A steel and is fixed at C. Determine the maximum allowable torque T that can be applied at end A. The shaft is fixed at C. B 30 mm 90 mm Allowable Shear Stress: The aluminum strut is fixed between the two walls A at A and B. Also, what is the angle of twist at C? The square shaft is used at the end of a drive cable in order to register the rotation of the cable on a gauge.

If it has the dimensions shown and is subjected to a torque of 8 N m, determine the shear stress in the shaft at point A. Sketch the shear stress on a volume element located at this point. The T6 aluminum bar has a square cross C section of 25 mm by 25 mm. If it is 2 m long, determine the maximum shear stress in the bar and the rotation of one 1.

The steel shaft is 12 in. Determine the largest couple forces F that can be applied to the shaft without causing the steel to yield.

F From Eq. Determine the maximum shear stress in the shaft and the amount of displacement that each couple force undergoes if the couple forces have a 1 in. Neglect stress concentrations at the corners. The mean dimensions of the tube are shown. Determine the torque T that can be applied to the rectangular tube if the average shear stress is not to exceed 12 ksi.

The mean dimensions of the tube are shown and the tube has a thickness of 0. For a given maximum shear stress, determine the 1. The tube is 0. For a given average shear stress, determine the 1. Section Properties: A torque T is applied to two tubes having the t cross sections shown. Compare the shear flow developed in t each tube. Due to a fabrication error the inner circle of the tube is eccentric with respect to the outer circle. The mean dimensions of the cross section of an t airplane fuselage are shown.

Also, find the corresponding angle of twist per foot length of the fuselage. Referring to the geometry shown in Fig. The tube is made of plastic, is 5 mm thick, and has the mean dimensions shown. Show the shear stress on volume elements A located at these points.

The mean dimensions of the cross section of the 10 mm leading edge and torsion box of an airplane wing can be approximated as shown. If the wing is made of T6 0. If the wing is subjected to a 0. The wing is made of T6 aluminum alloy. The symmetric tube is made from a high-strength 30 mm steel, having the mean dimensions shown and a thickness of 20 mm 5 mm.

Indicate the shear stress on volume elements located A at these points. The built-up shaft is to be designed to rotate 75 mm at rpm while transmitting 30 kW of power. Is this possible? The built-up shaft is designed to rotate at rpm. Determine the maximum shear stress developed 50 mm in the shaft. The assembly is subjected to a torque of lb in. OK 2 2 5— A solid shaft is subjected to the torque T, which causes the material to yield. A solid shaft having a diameter of 2 in.

Determine the torque required to develop an elastic core in the shaft having a diameter of 1 in. Also, what is the plastic torque? Use Eq. Assume that the material becomes fully plastic. When the material becomes fully plastic then, from Eq. The solid shaft is made of an elastic-perfectly 80 mm plastic material as shown. If the shaft is 3 m long, through what angle T does one end of the shaft twist with respect to the other end?

When the torque is removed, determine the residual stress distribution in the shaft and the permanent angle of twist.

Applying Eq. Residual Shear Stress: Tc The shaft is subjected to a maximum shear strain of 0. Determine the torque applied to the shaft if the material has strain hardening as shown by the shear stress—strain diagram.

Determine a the maximum elastic torque TY; and b the plastic torque Tp. Maximum Elastic Torque. Plastic Torque. The hollow shaft has the cross section shown and is made of an elastic-perfectly plastic material having a yield shear stress of tY. Determine the ratio of the plastic torque Tp to the maximum elastic torque TY. In this case, the torsion formula is still applicable.

TY 15 3 pc tY 32 5— The shaft consists of two sections that are rigidly T connected. If the material is elastic plastic as shown, 1 in. Also, draw the shear-stress distribution over a radial line for each section. Neglect the effect of stress concentration. From Eq. The hollow shaft is made of an elastic-perfectly plastic material having a shear modulus of G and a yield shear stress of tY.

Determine the applied torque Tp when the c0 ci material of the inner surface is about to yield plastic torque. Also, find the corresponding angle of twist and the maximum shear strain. The shaft has a length of L. Since the shear strain varies linearly along the radial line, Fig.

The hollow shaft has inner and outer diameters of mm 60 mm and 80 mm, respectively. If it is made of an elastic- perfectly plastic material, which has the t-g diagram shown, mm C determine the reactions at the fixed supports A and C. Refering to the free - body diagram of the shaft shown in Fig.

Plastic Analysis. Substituting this result into Eq. The tubular shaft is made of a strain-hardening material having a t-g diagram as shown. Determine the T torque T that must be applied to the shaft so that the maximum shear strain is 0.

The shear stress—strain diagram for a solid T mm-diameter shaft can be approximated as shown in the figure. Determine the torque T required to cause a maximum shear stress in the shaft of MPa.