A beam of uniform rectangular cross.section is to be cut from a log having a circular...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A beam of uniform rectangular cross.section is to be cut from a log having a circular cross section of diameter 2a. The beam has to be used as a cantilever beam (the length is fixed) to carry a concentrated load at the free end. Find the dimensions of the beam that correspond to the maximum tensile (bending) stress carrying capacity. Using Direct and Lagrange Multiplier methods a Ans: x = and y = 2 2 (Neutral axis) A beam of uniform rectangular cross.section is to be cut from a log having a circular cross section of diameter 2a. The beam has to be used as a cantilever beam (the length is fixed) to carry a concentrated load at the free end. Find the dimensions of the beam that correspond to the maximum tensile (bending) stress carrying capacity. Using Direct and Lagrange Multiplier methods a Ans: x = and y = 2 2 (Neutral axis)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these physics questions
-
Create a class Geometry without any data member. Another class Circle is inherited from Geometry class which declares radius (of type float) as its data member. Derive another class Square from...
-
A cantilever beam of rectangular cross section is subjected to a concentrated load P = 17 k acting at the free end (see figure). The beam has width b = 3 in. and height h = 12 in. Point A is located...
-
A log that is 2 ft in diameter is to be cut into a rectangular section for use as a simply supported beam. If the allowable bending stress is Ï allow = 8 ksi, determine the required width b and...
-
Zephre Company reported net income for the year of $56,000. Depreciation expense for the year was $12,000. During the year, accounts receivable increased by $4,000, inventory decreased by $6,000,...
-
The K 0 particle has a rest mass of 497.7 MeV/c 2 . It decays into a and + , each with rest mass 139.6 MeV/c 2 . Following the decay of a K 0 , one of the pions is at rest in the laboratory....
-
What are hubs and authority pages? How does the HITS algorithm use these concepts?
-
Calculate the optical efficiency on November 13 of an evacuated tube collector array at noon and \(2 \mathrm{p} . \mathrm{m}\). if the direct normal insolation is \(600 \mathrm{~W} / \mathrm{m}^{2}\)...
-
On January 1, 2014, Corgan Company acquired 80 percent of the outstanding voting stock of Smashing, Inc., for a total of $980,000 in cash and other consideration. At the acquisition date, Smashing...
-
People call a suburban hospital's health hotline at the rate of eighteen per hour on Monday mornings; this can be described by a Poisson distribution. Providing general information or channeling to...
-
1. Display the age and name for the pilot who was the oldest when HIRED. 2. Using a SET OPERATOR, display the pilots and the number of miles flown as "Miles Flown", include pilots who have not yet...
-
If you have assessed a person to be at risk for suicide you must take action. You are responsible for the person's safety. Express your concern to the person and attempt to get her/him to a safe...
-
What does it mean that political campaigns are candidate-centered?
-
Who should be involved in an organization change effort, and how should they be involved?
-
What are the overall skills required to manage resources in order to deliver a task, product or service known as?
-
Cockpit Resource Management (CRM) was developed during which of the Four Eras of Commercial Aviation Safety?
-
Assume for a moment that one of your fellow department managers bursts into your office with a troubled look on her face. She sits down and says with a tone of disgust, You cant do anything with...
-
Peter would like some advice on approaching his future employer with a salary package arrangement. He would like to retire when he turns 60 in 2030 but he is not sure if this is financially feasible....
-
Find the equation of the plane passing through the points P 5,4,3 ,Q 4,3,1 and R 1,5,4
-
The A-36 steel shaft has a diameter of 50 mm and is subjected to the distributed and concentrated loadings shown. Determine the absolute maximum shear stress in the shaft and plot a graph of the...
-
Estimate the increase in volume of the pressure vessel in Prob. 1056. Problem: 10-56. The thin-walled cylindrical pressure vessel of inner radius r and thickness t is subjected to an internal...
-
Plot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?
-
Find the steady-state response of the hydraulic control valve shown in Fig. 4.4 (a) to the forcing functions obtained by replacing \(x(t)\) with \(F(t)\) and \(A\) with \(F_{0}\) in Figs. 1.114....
-
What is the basis for expressing the response of a system under periodic excitation as a summation of several harmonic responses?
-
True or False. The change in momentum is called impulse.
Study smarter with the SolutionInn App