Question: A cross section in the shape of a circular arc of constant thickness is shown in the figure. Derive the following formula for the distance

A cross section in the shape of a circular arc of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the arc to the shear center S:

In which b is in radians. Also, plot a graph showing how the distance e varies as Î² varies from 0 to Ï€.

A cross section in the shape of a circular arc

2r(sin -cos ) -sin B cos

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

t thickness r radius At angle T 0 moment of shear stresses At ... 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 (591).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The cross section of a channel beam with double flanges and constant thickness throughout the section is shown in the figure. Derive the following formula for the distance e from the centerline of...

The cross section of a sign post of constant thickness is shown in the figure. Derive the formula below for the distance e from the centerline of the wall of the post to the shear center S. Also,...

The cross section of a slit square tube of constant thickness is shown in the figure. Derive the following formula for the distance e from the corner of the cross section to the shear center S: b e...

A cross-section in the shape of a circular arc of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the arc to the shear center S: in which...

The cross section of a slit circular tube of constant thickness is shown in the figure. (a) Show that the distance e from the center of the circle to the shear center S is equal to 2r in the figure...

bbexplain all answers in all parts Problem 4 (Conservation of Angular Momentum) A meteor of mass m = 2.1 1013 kg is approaching earth as shown on the sketch. The radius of the earth is r = 6.37 106 m...

6 . 9 - 8 The cross section of a slit rectangular tube of constant thickness is shown in the figures. ( a ) Derive the following formula for the distance e from the centerline of the wall of the tube...

A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula for the distance e from the center of the semicircle to the shear center S: Also, plot a graph...

The cross section of a slit rectangular tube of constant thickness is shown in the figures. (a) Derive the following formula for the distance e from the centerline of the wall of the tube in figure...

A uniformly tapered plastic tube AB of circular cross section and length L is shown in the figure. The average diameters at the ends are dA and dB = 2dA. Assume E is constant. Find the elongation...

Charlotte Squab Financial Services EIN: 13-5596127 123 Wall Street New York, NY 10022 December 31, 2019 Joan and Noah Arc 1265 W. Riverview Avenue Dayton, OH 45402 SSN: 456-87-5432 Dividends Payor...

Suppose the yz -plane fooms a charge less boundary blu two media y permitivities Elett Eright where Eleft: Eright = 1:2 if the uniform electric field on the left is Eleft = c(+3+c), then the electric...

3 Ray loses his job as a result of a corporate downsizing. Consequently, he falls behind on the mortgage payments on his personal residence. His friend Ted would like to make the delinquent mortgage...

6. The value of the observation that appears most frequently in a data set is called the .

An arm ABC lying in a horizontal plane and supported at A (see figure) is made of two identical solid steel bars AB and BC welded together at a right angle. Each bar is 22 in. long. (a) Knowing that...

A crank arm consists of a solid segment of length b 1 and diameter d, a segment of length b 2 , and a segment of length b 3 , as shown in the figure. Two loads P act as shown: one parallel to -x and...

A simple beam AB of length L is loaded at the left-hand end by a couple of moments M 0 . Determine the angle of rotation uA at support A. Mo L B 30

Dartis Company is considering investing in a specialized equipment costing $640,000. The equipment has a useful life of 5 years and a residual value of $67,000. Depreciation is calculated using the...

9. (17 marks) An investor has R100 and is considering investing in two different stocks. The prices of both stocks are assumed to follow the lognormal model with the parameters below. Stock A B...

The company pays interest at 12% on all borrowings. And pays a combined state and federal tax rate of 35%. Complete the forecast income statement and balance sheet. Begin by guessing at interest...