Home Work:1. Determine the maximum deflection d in a simply supported beam of length Lcarrying a uniformly distributed load of intensity w, applied over its entire length.2. For the beam loaded as shown in the Figure, compute the moment of area of theM diagrams between the reactions about both the left and the right reaction. (Hint:Draw the moment diagram by parts from right to left).500 N2 m1 m1 m400 N/mR1R2Please solve according tothe exporters of a typicalsolution.1E*I3. Moment Diagram by Partsbutds = pd0MdeMdsE*I1The construction of moment diagram by parts depends on two basic principles:1) The resultant bending moment at any section caused by any load system is the= de =%3DE*Idsalgebraic sum of the bending moment at that section caused by each load actingseparately.butds = dx(Flat curve)M=) M2 =Σ= OP **E * IMR1[M * dxEM,EMR : Sum of the moment caused by all the forces to the left and rightsection respectively.:. 0 =E * I2) The moment effect of any single specified loading is always some variation ofthe general equation.dt = x * deĮ dtx * de1Area = b * hn+11IBIA =1[x(Mdx )X = -* b1BIA =E * In + 2

Answered: Image /qna-images/answer/5ba1c8d6-e5ae-4daf-9b34-f28bb37d8bf9.jpg

1. Determine the maximum deflection d in a simply supported beam of length L carrying a uniformly distributed load of intensity w, applied over its entire length. 2. For the beam loaded as shown in the Figure, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction. (Hint: Draw the moment diagram by parts from right to left). 500 N 1 m 2 m 1 m 400 N/m R1

1. Determine the maximum deflection d in a simply supported beam of length L carrying a uniformly distributed load of intensity w, applied over its entire length. 2. For the beam loaded as shown in the Figure, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction. (Hint: Draw the moment diagram by parts from right to left). 500 N 1 m 2 m 1 m 400 N/m R1

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.38P: A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the...

See similar textbooks

Similar questions

The deflection curve for a cantilever beam AB (see figure) is given by v=q0x2360L2EI(45L440L3x+15L2x2x4) Describe the load acting on the beam. Determine the reactions RAand M 4at the support.
-22 Derive the equations of the deflection curve for a simple beam AB with a distributed load of peak intensity q0acting over the left-hand half of the span (see figure). Also, determine the deflection cat the midpoint of the beam. Use the second-order differential equation of the deflection curve.
-20 Derive the equations of the deflection curve for a cantilever beam AB carrying a uniform load of intensity q over part of the span (see figure). Also, determine the deflection Bat the end of the beam. Use the second-order differential equation of the deflection curve.
-12 Determine the angle of rotation Band deflection Bat the free end of a cantilever beam AB having a uniform load of intensity q acting over the middle third of its length (see figure).
A simple beam AB supports five equally spaced loads P (see figure). Determine the deflection Slat the midpoint of the beam, If the same total load {5P) is distributed as a uniform load on the beam, what is the deflection èy at the midpoint? Calculate the ratio of d, t0
A cantilever beam has two triangular loads as shown in the figure. Find an expression for beam deflection Scusing Superposition. Find the required magnitude of load intensity q2in terms of q0so that the deflection at C is zero. Find an expression for the deflection at C if both load intensities, qxand q2, are equal to q0.
-21 Derive the equations of the deflection curve for a cantilever beam AB supporting a distributed load of peak intensity q0acting over one-half of the length (see figure). Also, obtain formulas for the deflections Band cat points B and C, respectively Use the second-order differentia] equation of the deflection curve.
-14 A cantilever beam AB supporting a triangularly distributed load of maximum intensity q0is shown in the figure. Derive the equation of the deflection curve and then obtain formulas for the deflection Band angle of rotation Bat the free end. Use the second-order differential equation of the deflection curve.
-10 The simple beam AB shown in the figure supports two equal concentrated loads P: one acting downward and the other upward. Determine the angle of rotation A at the left-hand end, the deflection 1under the downward load, and the deflection 2 at the midpoint of the beam.
-3 The deflection curve for a simple beam AB (see figure) is given by v=q0x360LEI(7L410L2x2+3x4) Describe the load acting on the beam.
A simple beam ABC has a moment of inertia 1,5 from A to B and A from B to C (see figure). A concentrated load P acts at point B. Obtain the equations of the deflection curves for both parts of the beam. From the equations, determine the angles of rotation 0Aand Bcat the supports and the deflection 6Bat point B.
A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assume that E = 190 GPa.