Question: A circular beam is loaded and supported as shown below. The material used to make the beam has a maximum allowable bending stress of

A circular beam is loaded and supported as shown below. The material

A circular beam is loaded and supported as shown below. The material used to make the beam has a maximum allowable bending stress of allow = 125 MPa. Recall that the second moment of area for a circle is ( W Use the following values in your working out: L L = 24 m d = 18 cm Old a) Draw the FBD, SFD and BMD for the beam. (1.5 marks) b) Write an expression for the internal bending moment as a function of length. Clearly show what convention you're using for positive length. (1 mark) c) Determine the maximum allowable intensity of w. (2 marks)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Twenty-four patrons at a baseball game were observed in order to determine how many hot dogs each of them ate during the game. The following table contains the data. a. Construct a frequency...

Assume the jobs displayed in Table 18.22 need to be processed on a single resource and are sequenced with the WSPT rule. What is the average flow rate of the jobs (in jobs per minute)? TABLE 18.22...

We refer to the integrand that occurs in Green's Theorem and that appears as \[ \operatorname{curl}_{z}(\mathbf{F})=\frac{\partial F_{2}}{\partial x}-\frac{\partial F_{1}}{\partial y} \] Estimate the...

The following data were collected. x 15 18 22 25 30 y 32 28 25 24 20 Use technology to write an equation that models the data. = 42.38x - 0.754 = -0.754x + 42.38 = 0.754x - 42.38 = 42.38x + 0.754\

The cross - section of a wooden, built - up beam is shown below. The dimensions are L = 1 4 0 mm and w = 2 8 mm . ( Figure 1 ) Determine the magnitude of the moment M that must be applied to the beam...

Determine the minimum allowable diameter of the circular shaft to the nearest millimeter if the design parameters require a l l l o w = 4 . 5 MPa and a allow = 5 0 0 kPa. The bearings at A and D...

Learning Goal: To know how to use shear and bending - moment diagrams to determine the design requirements of a steel beam used to support a loading. When designing a steel beam to support a given...

A simply supported beam supports a concentrated load of 2 0 kN and uniformly distributed load of 1 0 k N m acting over part of the span as shown below. The beam is made up of a channel cross -...

a . 8 0 kN 8 0 kN - 2 0 2 0 0 - 4 . The given I - beam shown below is supported by a fixed connection ( built in ) at A , internal pin at B and a roller at D . For the given loading: Draw neatly the...

Problem 1 ) A simply supported floor beam must be designed to support a reinforced concrete slab which is 4 inches thick. The beam has a span of 2 4 feet. The floor beams are spaced 8 feet on center....

On 1 April 2020, Avon Ltd acquired 60% of the equity share capital of Savoi at 9.6 million. Below are the summarised draft financial statements of both companies. Avon and Savoi Statements of Profit...

The following transactions occurred during the month for Teresa Parker, CPA: Jun. 1 Parker opened an accounting firm by contributing $ 14,000 cash and office furniture with a fair market value of $...

Francis has Medicare, but has continued to work part - time and is paying for her insurance through her employer. Which insurance policy is primary?

a. Write, but do not solve, the mesh and nodal equations for the network of Figure P2.6. b. Use MATLAB, the Symbolic Math Toolbox, and the equations found in part a to solve for the transfer...

For your state and three of its neighbors, determine how many tax returns claimed an earned income credit. On a line or bar chart, track these data for the last five years, using www.irs.gov. Send...

The current pulse shown in Figure 5PFE-2 is applied to a 1µF capacitor. Determine the charge on the capacitor and the energy stored. 6A t( sec) Figue PFE-2

Use Thevenins theorem to find Vo (t),t>0 in the network.

By what are vector graphic figures represented internally?

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

42. If Xi , i = 1, . . . , n are independent normal random variables, with Xi having mean i and variance 1, then the random variable ni =1 X2 i is said to be a noncentral chi-squared random variable....

43. The density function of a chi-squared random variable having n degrees of freedom can be shown to be where (t) is the gamma function defined by Integration by parts can be employed to show that...

58. A collection of n coins is flipped. The outcomes are independent, and the ith coin comes up heads with probability i , i = 1, . . . , n. Suppose that for some value of j, 1 j n, j = 12 . Find...