Question: (a) Verify Eqs. (11.46) for the sag in a horizontal beam clamped at one end and allowed to hang freely at the other end. (b)

(a) Verify Eqs. (11.46) for the sag in a horizontal beam clamped at one end and allowed to hang freely at the other end.

(b) Now consider a similar beam with constant cross section and loaded with weights, so that the total weight per unit length is W(x). What is the sag of the free end, expressed as an integral over W(x), weighted by an appropriate Green’s function?

Data from Eqs. (11.46)

n(x)= = W D (/ x - - 4 1 -lx +

6 21/+x). 24 (11.46a)

n(x)= = W D (/ x - - 4 1 -lx + 6 21/+x). 24 (11.46a)

Step by Step Solution

★★★★★

3.39 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The sag in a horizontal beam clamped at one end and allowed to hang freely at the other end can be ... 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

Students Have Also Explored These Related Modern Classical Physics Questions!

In (16) of Section 1.3 we saw that a mathematical model for the shape of a exible cable strung between two vertical supports is dy/dx = W/T 1 ¦¦¦¦¦.. (11) where W...

A cantilever bar of circular cross section and length L is fixed at one end and free at the other (see figure). The bar is loaded by a torque T at the free end and by a distributed torque of constant...

A segment of DNA is put in place and stretched. Figure P7.82 shows a graph of the force exerted on the DNA as a function of the displacement of the stage. Based on this graph, which statement is the...

With reference to Ex. 10.4 (a) Apply Eq. (10.7) to Eq. (A) to verify Eqs. (B) and (C). (b) Show that Eqs. (B) and (C) combine in accord with Eq. (10.11) to regenerate Eq. (A). Eq. (10.11) (c) Show...

Exercise 29.1.10 Verify Eqs. (29.9) and (29.10).

13.2 Verify Eqs. (13.17) and (13.18).

1. Verify Eqs. 1 through 5. 2. Select appropriate units for t, x, m, b, and k. (use SI units.) 3. Determine the units for wn and C.

13.1 Verify Eqs. (13.13) and (13.14).

Verify eqs. (36.14) (36.17)

13.2 Verify Eqs. (13.17) and (13.18).

BSU Inc. wants to purchase a new machine for $29,300, excluding $1,500 of installation costs. The old machine was bought five years ago and had an expected economic life of 10 years without salvage...

For m eN let Sm = {(x, y, z) E N]x

This year, Hermine paid $ 1 3 , 0 0 0 of investment interest expense. She also earned $ 4 , 5 0 0 in qualified dividends, $ 5 , 4 0 0 in interest income, and had a short - term capital gain ( STCG )...

=+d. Would you use the least-squares line to predict flood damage when depth of flooding is 18 ft? Explain.

In a volcanic eruption, a 2400-kg boulder is thrown vertically upward into the air. At its highest point, it suddenly explodes (due to trapped gases) into two fragments, one being three times the...

A 1500-kg blue convertible is traveling south, and a 2000-kg red SUV is traveling west. If the total momentum of the system consisting of the two cars is 7200 kg m/s directed at 60.0 west of south,...

An 8.00-kg block of wood sits at the edge of a frictionless table, 2.20 m above the floor. A 0.500-kg blob of clay slides along the length of the table with a speed of 24.0 m/s, strikes the block of...

Discuss the factors that are critical to the overall growth of mobile banking.

25. The best control over the work on which internal auditor's opinions are based is A. Supervisory review of all engagement work. B. Preparation of time budgets for internal auditing activities. C....

Exercise 7 - 8 ( Algo ) Sales returns [ LO 7 - 4 ] Halifax Manufacturing allows its customers to return merchandise for any reason up to 9 0 days after delivery and receive a credit to their...