Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6, Problem 21P
To determine
Find the appropriate unit for
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
6.21 A cantilever beam shown in the accompanying
figure is used to support a load acting on a
balcony. The deflection of the centerline of
the beam is given by the equation:
- wx?
y=
-(x² – 4 Lx + 6L²)
24 EI
where
y = deflection at a given x location, (m)
w = distributed load
E = modulus of elasticity (N/m²)
I = second moment of area (m²)
x = distance from the support as shown (m)
L = length of the beam (m)
What is the appropriate unit for w if the
preceding equation is to be homogeneous in
units? Show all steps of your work.
Problem 6.21 A cantilever beam.
Consider the T-beam shown in (Figure 1). Suppose that
a = 80 mm, b=160 mm, c = 10 mm.
Figure
<
1 of 1
Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam.
Express your answer to three significant figures and include the appropriate units.
y =
Submit
Part B
IT' =
Submit
Part C
Value
Determine the moment of inertia I.
Express your answer to three significant figures and include the appropriate units.
Request Answer
Iy' =
Value
Request Answer
Units
Value
Units
?
Determine the moment of inertia Iy'.
Express your answer to three significant figures and include the appropriate units.
Units
?
?
(Figure 1)
Figure
30 mm
140 mm,
30 mm
30 mm
70 mm
30 mm
170 mm
1 of 1
Part A
Determine the distance to the centroid C of the beam's cross-sectional area.
Express your answer to three significant figures and include the appropriate units.
X =
Submit
Part B
Īy =
Value
μA
Submit
< Return to
Request Answer
Compute the moment of inertia Iy about the y' axis.
Express your answer to three significant figures and include the appropriate units.
Value
Request Answer
Units
ignment
Units
?
Provide Feedback
?
Chapter 6 Solutions
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Ch. 6.1 - Prob. 1BYGCh. 6.1 - Prob. 2BYGCh. 6.1 - Prob. 3BYGCh. 6.1 - Prob. 4BYGCh. 6.1 - Prob. BYGVCh. 6.2 - Prob. 1BYGCh. 6.2 - Prob. 2BYGCh. 6.2 - Prob. 3BYGCh. 6.2 - Prob. 4BYGCh. 6.2 - Prob. 5BYG
Ch. 6.2 - Prob. 6BYGCh. 6.2 - Prob. BYGVCh. 6.3 - Prob. 1BYGCh. 6.3 - Prob. 2BYGCh. 6.3 - Prob. 3BYGCh. 6.3 - Prob. 4BYGCh. 6.3 - Prob. BYGVCh. 6.5 - Prob. 1BYGCh. 6.5 - Prob. 2BYGCh. 6.5 - Prob. 3BYGCh. 6.5 - Prob. 4BYGCh. 6.5 - Prob. BYGVCh. 6.6 - Prob. 1BYGCh. 6.6 - Prob. 2BYGCh. 6.6 - Prob. 3BYGCh. 6.6 - Prob. BYGVCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - The air resistance to the motion of a vehicle is...Ch. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - The calorie is defined as the amount of heat...Ch. 6 - Prob. 35PCh. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - For the fin equation described in Problem 6.25, if...Ch. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51P
Knowledge Booster
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.Similar questions
- Suppose we have a uniform beam that is 3.73 metres long has a flexural rigidity of 34301Nm. Find the deflection of the beam in millimetres if the beam is under a uniform load of 86N/m and is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.22 y(x)= x=1.38 y(x) = x=2.05 y(x) = x=2.98 y(x) = x=3.58 y(x) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.arrow_forwardSuppose we have a uniform beam that is 3.40metres long has a flexural rigidity of 31915N Find the deflection of the beam in millimetres if the beam is under a uniform load of 24Nmand is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.14 y(x)�(�) = x=1.12 y(x)�(�) = x=1.80 y(x)�(�) = x=2.65 y(x)�(�) = x=3.06 y(x)�(�) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.arrow_forwardQUESTION 3 The beam in Figure 3 is roller supported at A and B, pinned at D and hinged at c. The location of the hinge is given in the figure, where a is the last two digits of your matrix number (Example: for matrix number 201234, a/100 = 0.34; for matrix number 201204, a/100 = 0.04). Given E as 200 GPa, and I as 11250 cm*. a) Draw the deflected shape of the beam. b) Using conjugate beam method, determine the deflection at point C. Indicate the direction of the deflection. 100 kN C 2 m 3 m a/100*L L = 6 m Figure 3arrow_forward
- Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus, G = 77 GPa. The angle of twist at C (in degrees) is (Give answer up to three decimal places) All dimensions 10 Nm in mm $20 500 B 44 S $10 500 Carrow_forwardThe simply supported beam carries three concentrated loads as shown in the figure. Determine the beam deflection at a section 5.74 feet from the pin support if P = 3327lb, Q =5726lb, R = 7383|lb, E = 27348 , and I= 471. Round off your answer to 6 decimal places. y P Q ... + 3 ft+ 3 ft→ 3 ft→+ 3 ft→| Add your answerarrow_forwardENGINEERING MECHANICS TOPIC: Forces in Spacearrow_forward
- 1. The following equation describes the relationship between the maximum deflection of the end of a beam and the applied load. PL3 = 3EI a) If ð is the maximum deflection in inches, L is the length of the beam in inches, P is the load in pounds, and E is the Young's Modulus in pounds/in?, find the units for I (moment of inertia). b) The measured deflection for a specific beam under loading is measured to be .01 in. Convert this to millimeters.arrow_forwardQuestion 3: Open Ended The beam in the following diagram has the following numerical values in stiffness: 77 Stiffness in bending = 1 Stiffness in axial tension = 1 What would the new values of stiffness in bending and axial tension be if the Height of beam is doubled while the Width remains constant? What would the new values of stiffness in bending and axial tension be if the Width of beam is doubled while the Height remains constant?arrow_forwardConsider a beam shown in the figure below. (Figure 1) Figure 1 ▾of 1 400 lb/ft 6 ft 900 lb Part A Express the internal shear in terms of x for 0≤x≤6 ft, where is in ft. Express your answer in terms of z. Express your answer using three significant figures. V= Submit V= ΑΣΦΗ ΤΗ Submit vec My Answers Give Up [VD ΑΣΦ | 4 Part B Express the internal shear in terms of z for 6 ft << 9 ft, where is in ft. Express your answer in terms of z. Express your answer using three significant figures. vec ? My Answers Give Up lb ? lbarrow_forward
- Mechanics I need the answer asap thank youarrow_forward4. a) Determine an expression for the deflection of the left end of the beam shown. b) If a = 100 cm, P = 2200 N, w = 2600 N/m, M = 1500 N·m, E = 200 GPa, and I = 15 x 106 mm4, calculate the deflection of the free end of the beam M a w a www/warrow_forwardConsider a beam shown in the figure below. (Figure 1) Figure 1 ▼ of 1 400 lb/ft 6 ft 900 lb Part A Express the internal shear in terms of a for 0≤x≤6 ft, where x is in ft. Express your answer in terms of z. Express your answer using three significant figures. V= Submit V= V ΑΣΦ | Η Submit vec My Answers Give Up [VD ΑΣΦ | 41 Part B Express the internal shear in terms of x for 6 ft << 9 ft, where is in ft. Express your answer in terms of z. Express your answer using three significant figures. vec ? My Answers Give Up lb ? lbarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning