Assume that the beam in the previous question consists of a rectangular concrete section. Concrete compressive strength, is 5 ksi and its tensile strength is approximately ft = 0.1fc. Determine the required beam depth so that the maximum tensile stress under the applied concentrated loads is less than the concrete tensile strength (that is, the beam does not crack). section modulus: S=bd²/6 bending stress: f.- M/S b=18 X h (to be determined)
Assume that the beam in the previous question consists of a rectangular concrete section. Concrete compressive strength, is 5 ksi and its tensile strength is approximately ft = 0.1fc. Determine the required beam depth so that the maximum tensile stress under the applied concentrated loads is less than the concrete tensile strength (that is, the beam does not crack). section modulus: S=bd²/6 bending stress: f.- M/S b=18 X h (to be determined)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2.11 Assume that the beam in the previous question consists of a rectangular concrete section. Concrete compressive strength, fc,
is 5 ksi and its tensile strength is approximately ft = 0.1fc. Determine the required beam depth so that the maximum tensile
stress under the applied concentrated loads is less than the concrete tensile strength (that is, the beam does not crack).
section modulus: S = b 0²/6
bending stress:
f. = M/S
b=18
X
h
(to be determined)

Transcribed Image Text:2.10 Calculate the support reactions and draw the shear and bending moment diagrams showing the maximum values
for the following beam:
P = 10kips
P = 10kips
Shear Diagram
Moment Diagram
R₂
-6f6f6ft-
R₂
Expert Solution

Step 1
Answer
We know that bending stress are tensile or compressive in nature
we can write from bending stress equation that maximum tensile stress is given by ft =
ft = maximum tensile stress
Since the maximum tensile stress should be less than the concrete tensile strength
we need to take ft = concrete tensile strength
ft = 0.1*f'c
ft = 0.1*5
ft = 5 ksi
M = maximum Moment on beam
S = Section Modulus
S =
b = 18 in (given)
d = h
S =
S =
Noe let us calculate the maximum moment from given concentrated loads on beam
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