Question: A bar of circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the

A bar of circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the bar is L/2 and the modulus of elasticity of the material is E.
(a) Obtain a formula for the strain energy U of the bar due to the load P.
(b) Calculate the strain energy if the load P = 27 kN, the length L = 600 mm, the diameter d = 40 mm, and the material is brass with E = 105 GPa.

2d dl

Step by Step Solution

★★★★★

3.38 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a STRAIN ENERGY OF THE BAR ... 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 (224).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The capital account for Autumn Chou, including an additional investment, and a partial work sheet are shown below. REQUIRED Prepare a statement of owner'sequity. GENERAL LEDGER ACCOUNT: Autumn Chou,...

The truss ABC shown in the figure is subjected to a horizontal load P at joint B. The two bars are identical with cross-sectional area A and modulus of elasticity E. (a) Determine the strain energy U...

A shock mount constructed as shown in the figure is used to support a delicate instrument. The mount consists of an outer steel tube with inside diameter b, a central steel bar of diameter d that...

A solid bar of circular cross section (diameter d) has a hole of diameter d/5 drilled laterally through the center of the bar (see figure). The allowable average tensile stress on the net cross...

AT 2 . A compound bar of circular cross section consists of a brass portion A B and steel portion B C fixed between two rigid supports as shown in figure. If the temperature is increased by 1 4 0 C ,...

Problem 1 A beam AB is clamped at one end and joined to a bar, BC, at the other end by a hinge. The bar is pinned at end C. The length of the beam is L while the length of the bar is L/2. The beam...

Introductory Problems 2 . 3 - 1 The length of the end segments of the bar ( see ( b ) If the total elongation of the bar cannot exceed figure ) is 2 0 in . and the length of the prismatic middle...

P2: This problem is adapted from Messac 2015 []. It involves a multiobjective formulation of a physically-meaningful structural optimization problem. It involves the use of formulas from solid...

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...

QUESTION 2 a) Answer TRUE or FALSE for the following statements: (i) Buckling of a column occurs under transverse load. (ii) Pure buckling occurs in a long column. (iii) Pure buckling uses the...

As a structural engineer, you are in charge of the design of a structure consisting of a rigid beam ACE that is subjected to the load P and suspended at points A , C , and E by three suspender bars A...

Force, Pressure and Temperature Units 1. The atmosphere on Mars is largely CO2 The pressure is 610 pascals and the average temperature is about -81 F. Transfer the information to atm pressure and...

Mantis Landscape Supplys selected accounts as of December 31, 2015 follow. Compute the gross profit percentage for 2015. Selling Expenses ........... $ 13,650 Interest Revenue ........... 1,300 Sales...

0 1 2 c o s 2 ( 3 2 x ) d x

Vectors with three elements can represent position, velocity, and acceleration. A mass of 5 kg, which is 3 m away from the x axis, starts at x = 2 m and moves with a speed of 10 m/s parallel to the y...

Consider a parachute as a safety device. When the parachute opens, the previously freely falling person typically has reached a speed of about 50. m/s. The parachute slows to a terminal speed of...

1. What are the advantages and disadvantages of works council and client council involvement at an early stage of a PE intervention from the top management perspective and the individual employee...

Hanschu Inc. issues an $800,000, 10%, 10-year mortgage note on December 31, 2017, to obtain financing for a new building. The terms provide for annual installment payments of $130,196. Prepare the...

A contract engineer at DuPont Corp. studied the rate at which a spilled volatile liquid will spread across a surface (Chemical Engineering Progress, Jan. 2005). Assume 50 gallons of methanol spills...

Weighted Values a) SAS/Stata Tasks. i) Calculate weighted proportions in each category for SEX, RACERPI2, and vigfreqwR . ii) Calculate the weighted mean and weighted standard deviation for bmiR ,...

A shaft of radius c = 0.75 in. is made from an elastic perfectly plastic material as shown. Determine the torque T that must be applied to its ends so that it has an elastic core of radius Ï =...

The tube has a length of 2 m and is made of an elastic perfectly plastic material as shown. Determine the torque needed to just cause the material to become fully plastic. What is the permanent angle...

The stepped shaft is subjected to a torque T that produces yielding on the surface of the larger diameter segment. Determine the radius of the elastic core produced in the smaller diameter segment....

The actual exchange rate is 1 7 . 3 1 MXN / USD . What should the price in pesos of the Corolla be in Monterrey to cost the same as in San Antonio after considering the exchange rate? Ignore taxes or...

Quantitative Problem: Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown...

QUESTION 25 4 points Save Answer William invests $3,000 in a savings account. The account pays 4% interest compounded annually. How much money will be in the account at the end of the 8 years?...