Question: A beam with a uniform load has a guided support at one end and spring support at the other. The spring has stiffness k =

A beam with a uniform load has a guided support at one end and spring support at the other. The spring has stiffness k = 48EI/L3. Derive the equation of the deflection curve by starting with the third-order differential equation (the shear-force equation). Also, determine the angle of rotation Î¸B at support B.

MA 9 48EI/L3

Step by Step Solution

★★★★★

3.40 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

SHEARFORCE EQUATION Elv... 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 (827).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Derive the equation of the deflection curve for a cantilever beam AB supporting a load P at the free end (see figure). Also, determine the deflection Î´B and angle of rotation...

A cantilever beam AB supporting a triangularly distributed load of maximum intensity q0 is shown in the figure. Derive the equation of the deflection curve and then obtain formulas for the deflection...

A cantilever beam AB is acted upon by a uniformly distributed moment (bending moment, not torque) of intensity m per unit distance along the axis of the beam (see figure). Derive the equation of the...

The beam shown in the figure has a guided support at A and a spring support at B. The guided support permits vertical movement but no rotation. Derive the equation of the deflection curve and...

4 . The beam shown in the figure has a guided support at \ ( A \ ) and a spring support at \ ( B \ ) . The guided support permits vertical movement but no rotation. Derive the equation of the...

An overhanging beam ABC with flexural rigidity EI = 15 k-in.2 is supported by a guided support at A and by a spring of stiffness k at point B (see figure). Span AB has length L = 30 in. and carries a...

The beam shown in the figure has a guided support at A and a roller support at B. The guided support permits vertical movement but no rotation. Derive the equation of the deflection curve and...

This is a MATLAB Question I am stuck on. Can someone please write the full code (and explaination) for this in MATLAB? Thanks a lot Strip (or continuous) foundations (Figure 3a) are often used on...

8 . 3 - 1 2 The beam shown in the figure has a guided sup - port at A and a spring support at B . The guided support permits vertical movement but no rotation. Derive the equation of the deflection...

Problem 5 Problem 1 0 . 3 - 4 A cantilever beam \ ( A B \ ) of length \ ( L \ ) has a fixed support at \ ( A \ ) and a spring support at \ ( B \ ) ( see figure ) . The spring behaves in a linearly...

An engineer planning for his retirement thinks that the rates of return in the marketplace will decrease before he retires. Therefore, he plans to invest in corporate bonds. He plans to buy a $50,000...

In this problem, we make all the same assumptions as in Problem 4.75, but we do not discount the flywheel inertia, so our model consists of three inertias, as shown in Figure. Obtain the natural...

What other investment information would you need to evaluate Coca - Cola common stock? Where would you obtain this information?

10. A company conducts a survey of a large number of college undergraduates for information on the following variables: the name of their cell phone provider (e.g., Rogers, Bell), the numbers of...

Determine the ratio of shearing strain energy to bending strain energy for the rectangular cantilever beam when it is subjected to the loading shown. The beam is made of material having a modulus of...

Consider the thin-walled tube of Fig. 5-26. Use the formula for shear stress, $\tau_{\text {avg }}=T / 2 t A_{m}$, Eq. 5-18, and the general equation of shear strain energy, Eq. 14-11, to show that...

Determine the maximum force $P$ and the corresponding maximum total strain energy that can be stored in the truss without causing any of the members to have permanent deformation. Each member of...

Williams \& Sons last year reported sales of $15 million, cost of goods sold (CDGS) of $12 million, and an inventory turnover ratio of 2 . The compony is now adopting a new inventory system. If the...

Assume the following information regarding U.S. and Canadian annualized interest rates: Currency Lending Rate Borrowing Rate U.S. Dollar ($) 5.8996 6.3596 Canadian Dollar (C$) 5.6096 6.00% Piggy Bank...

What action would the holder of a maturing put option tako if an option which cost $4, had a strike price of $60, and the market value of the stock was $627 O Let the option expire unexercised O...