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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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Follow-up Question
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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