Question: A tapered bar AB of solid circular cross section is twisted by torques T = 36,000 lb-in. (see figure). The diameter of the bar varies

A tapered bar AB of solid circular cross section is twisted by torques T = 36,000 lb-in. (see figure). The diameter of the bar varies linearly from dA at the left-hand end to dB at the right-hand end. The bar has length L = 4.0 ft and is made of an aluminum alloy having shear modulus of elasticity G = 3.9 ( 106 psi. The allowable shear stress in the bar is 15,000 psi and the allowable angle of twist is 3.0°.
If the diameter at end B is 1.5 times the diameter at end A, what is the minimum required diameter dA at end A? (Hint: Use the results of Example 3-5).

Step by Step Solution

★★★★★

3.39 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

d B 15 d A T 36000 lbin L 40 ft 48 in G 39 X 10 6 psi 00523599 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

836-P-M-S (305).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A prismatic bar AB of solid circular cross section (diameter d) is loaded by a distributed torque (see figure). The intensity of the torque, that is, the torque per unit distance, is denoted t(x) and...

A bar of solid circular cross section is loaded in tension by forces P (see figure). The bar has length L = 16.0 in. and diameter d = 0.50 in. The material is a magnesium alloy having modulus of...

A vertical pole of solid circular cross section is twisted by horizontal forces P = 1100 lb acting at the ends of a horizontal arm AB (see figure). The distance from the outside of the pole to the...

A bar AB with solid circular cross section (diameter d) is loaded by a distributed torque, t, which has a value of zero over the first half of the beam and then increases linearly over the second...

A nonprismatic bar ABC of solid circular cross section is loaded by distributed torques (see figure). The intensity of the torques, that is, the torque per unit distance, is denoted t(x) and varies...

The bar shown in the figure is tapered linearly from end A to end B and has a solid circular cross section. The diameter at the smaller end of the bar is dA = 25 mm and the length is L = 300 mm. The...

A long, uniformly tapered bar AB of square cross section and length L is subjected to an axial load P ( see figure ) . The cross - sectional dimensions vary from d x d at end A to 2 d x 2 d at end B...

A slightly tapered bar AB of rectangular cross section and length L is acted upon by a force P (see figure). The width of the bar varies uniformly from b2 at end A to b1 at end B. The thickness t is...

Please solve the following problem with Python: Problem 3 . C 5 described by Fig. P 3 . C 5 . The exact expression is given in Prob. 3 . 6 4 for the angle of twist of the solid tapered shaft A B when...

Problem 2 , ( 1 5 % ) The bar shown in Figure 1 can be represented by a series of bar elements. Divide this bar into three equal lengths of L / 3 and represent it by four nodes, one bar element for...

This year, for the first time, CTR Corporation must report supplementary information by operating segment. The controller has prepared the following note for inclusion in the annual report. Segmented...

Seif Oil Corporation leased 4,000 unexplored acres, paying a lease bonus of $125/acre. Delay rentals are specified at a rate of S4.50/acre. The leans aires specified that Seif could abandon the lease...

iz 5 TIME 2 5 Minutes ase answer True or False to the following: ue or False 1 point ee may not claim homestead designation if property is used for the purposes of an urban home or as both an urban...

37. Dotties Tax Service specializes in tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit of the returns she prepared indicated that an error...

The curved member is subjected to the moment of M = 50 kN · m. Determine the percentage error introduced in the calculation of maximum bending stress using the flexure formula for straight...

For the curved beam in Fig. 640a, show that when the radius of curvature approaches infinity, the curved-beam formula, Eq. 624, reduces to the flexure formula, Eq. 613.

You have found the following stock quote for RJW Enterprises, Incorporated, in the financial pages of today's newspaper. \ table [ [ YTD % Change,Stock,SYM , YLD , PE , Last,Net Change ] , [ - . 8 ,...

Nonconstant Growth Stock Valuation Year 5 , the company sheald grow at a constant rate of 8% per yeat. If the required retum on the stock is 17%, what is the value of the stock today (ascirme the...

Break-Even Analysis Media outlets often have web sites that provide in-depth coverage of news and events. Portions of these web sites are restricted to members who pay a monthly subscription to gain...