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)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

Connected questions

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:2.11 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)
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
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 ftMS

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*d26

b = 18 in (given)

d = h

S = 18*h26

S = 3*h2

Noe let us calculate the maximum moment from given concentrated  loads on beam

 

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Design criteria for structural loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning