Question 1: A simply supported beam is shown in the figure below which is used to carry a load P. Consider the load P is a concentrated load working at a point of the beam. The location of the load is also shown in the Figure which is the middle of the distance in x-direction Develop the equation for (a) the elastic curve, and (b) the maximum displacement (c) If the value of the applied load 10 kN and Length of the beam in x and y direction is 2 m and 0.3 m then determine the value of maximum displacement due to the effect of load. y A |B L L 2 12

Question 1: A simply supported beam is shown in the figure below which is used to carry a load P. Consider the load P is a concentrated load working at a point of the beam. The location of the load is also shown in the Figure which is the middle of the distance in x-direction Develop the equation for (a) the elastic curve, and (b) the maximum displacement (c) If the value of the applied load 10 kN and Length of the beam in x and y direction is 2 m and 0.3 m then determine the value of maximum displacement due to the effect of load. y A |B L L 2 12

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.11P: A wood beam AB on simple supports with span length equal to 10 ft is subjected to a uniform load of...

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Beam AB has an elastic support kR at A, pin support at B, length L, height h (see figure), and is heated in such a manner that the temperature difference T2T1 between the bottom and top of the beam is proportional to the distance from support A. Assume the temperature difference varies linearly along the beam: T2T1=T0x in which T0 is a constant having units of temperature (degrees) per unit distance. Assume the spring at A is unaffected by the temperature change. Determine the maximum deflection max of the beam, Repeat for a quadratic temperature variation along the beam, so T2T1=T0x2 What is max for parts (a) and (b) if kR goes to infinity?
A temporary wood flume serving as a channel for irrigation water is shown in the figure. The vertical boards forming the sides of the flume are sunk in the ground, which provides a fixed support. The top of the flume is held by tic rods that are tightened so that there is no deflection of the boards at that point. Thus, the vertical boards may be modeled as a beam AB, supported and loaded as shown in the last part of the figure. Assuming that the thickness t of the boards is 1,5 in., the depth d of the water is 40 in., and the height h to the tie rods is 50 in., what is the maximum bending stress in the boards? Hint: The numerically largest bending moment occurs at the fixed support.
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A cantilever beam AB having rectangular cross sections with varying width bxand varying height hxis subjected to a uniform load of intensity q (sec figure). If the width varies linearly with x according to the equation hx= bBxiL^ how should the height hxvary as a function of v in order to have a fully stressed beam? (Express hxin terms of the height hBat the fixed end of the beam.)
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