Answered: E=29,000 kips per square inch I=144 in…

Engineering

Civil Engineering

E=29,000 kips per square inch I=144 in JA B 12 feet 15 feet

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Consider: a beam made of isotropic material, and itscross-section area is A throughout the entire beam.The beam has a Young’s modulus E. The beam isattached to a roller support (the length/size of thissupport is negligible) at x=0.Calculate the total elongation when the beam issubjected to a leftward concentrated force F atx=3L and a rightward force 3F at x=5L.
For the forces acting on the beam shown in Figure 3.1f, determine the location of the equivalent resultant force with reference to point B in m. Given / = 1.5, P1 = 5, P2 = 20 and w = 4 (Note: Prefix the answer with negative sign "-" if the location is to the left of the reference point. E.g. if the location of the equivalent resultant is located between points A and B, or to the left of point B by 1.2m, the answer should be "-1.2" with reference to point B) P, kN W kN/m |P2 kN 21 m 21 m Figure 3.1f
Learning Goal: To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application. As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by a=2.0a=2.0 ftft, b=6.0b=6.0 ftft, and c=11.0c=11.0 ftft. The applied forces are F1=1.50F1=1.50 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=35∘θ=35∘ with the horizontal. Neglect the weight of the beam. Determine the vertical reaction at A. Determine the horizontal component of the pin reaction at C. Determine the vertical component of the pin reaction at C.
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For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.
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