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Given the Following beam in simple flexure, loaded at midspan: P Section Span, L 1 D) Sketch Shear and Moment Diagrams below: M 0 0 h L b A) What is the max moment at midspan in terms of P, L, b, h B) What is the stress in the top fibers at midspan? Specify Tension or Compression. In terms of P, L, b, h. C) Given the same beam with a distributed load, what is the moment at midspan of the beam? In terms of w, L, b, h

Given the Following beam in simple flexure, loaded at midspan: P Section Span, L 1 D) Sketch Shear and Moment Diagrams below: M 0 0 h L b A) What is the max moment at midspan in terms of P, L, b, h B) What is the stress in the top fibers at midspan? Specify Tension or Compression. In terms of P, L, b, h. C) Given the same beam with a distributed load, what is the moment at midspan of the beam? In terms of w, L, b, h

Structural Analysis
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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Given the Following beam in simple flexure, loaded at midspan: P Section 2 Span, L 1 D) Sketch Shear and Moment Diagrams below: M 0 0 3/8" h L Lo=2" A tensile test is performed on a brass specimen 3/8" in diameter using a gage length of 2". When the load P reaches a value of 4500 lb, the distance between the gage marks has increased by 0.0048". Assume that the material is loaded within its elastic range. b A load of mass 9072g is applied to a cantilever beam. 3 A circular rod is found to have a cross sectional area of 113mm² 4 Two samples are tested to failure in compression. A wood sample fails at a load of 18,000 lbs. A concrete sample fails at 62,000 lbs. The wood sample is a square block measuring 1.5" x 1.5" in cross section. Te concrete sample is a cylinder with a section diameter of 4", 5 Wood Concrete A) What is the max moment at midspan in terms of P, L, b, h B) What is the stress in the top fibers at midspan? Specify Tension or Compression. In terms of P, L, b, h. C) Given the same beam with a distributed load, what is the moment at midspan of the beam? In terms of w, L, b, h A) Axial Strain at a load of 4500lb (and units): B) What is the mod. Of elasticity, E, of the brass? (and units): What is the load in pounds force: What is the diameter in inches? A) Which material has the higher ultimate strength? (circle one) Wood Concrete B) What is the ratio of concrete/wood ultimate strength?
Transcribed Image Text:Given the Following beam in simple flexure, loaded at midspan: P Section 2 Span, L 1 D) Sketch Shear and Moment Diagrams below: M 0 0 3/8" h L Lo=2" A tensile test is performed on a brass specimen 3/8" in diameter using a gage length of 2". When the load P reaches a value of 4500 lb, the distance between the gage marks has increased by 0.0048". Assume that the material is loaded within its elastic range. b A load of mass 9072g is applied to a cantilever beam. 3 A circular rod is found to have a cross sectional area of 113mm² 4 Two samples are tested to failure in compression. A wood sample fails at a load of 18,000 lbs. A concrete sample fails at 62,000 lbs. The wood sample is a square block measuring 1.5" x 1.5" in cross section. Te concrete sample is a cylinder with a section diameter of 4", 5 Wood Concrete A) What is the max moment at midspan in terms of P, L, b, h B) What is the stress in the top fibers at midspan? Specify Tension or Compression. In terms of P, L, b, h. C) Given the same beam with a distributed load, what is the moment at midspan of the beam? In terms of w, L, b, h A) Axial Strain at a load of 4500lb (and units): B) What is the mod. Of elasticity, E, of the brass? (and units): What is the load in pounds force: What is the diameter in inches? A) Which material has the higher ultimate strength? (circle one) Wood Concrete B) What is the ratio of concrete/wood ultimate strength?
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for part C where did L/4 come from? and why is it that when you subtract it its wL^2/8 and -wL^2/4?

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