Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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Chapter 6, Problem 21P
To determine
Find the appropriate unit for
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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.
Suppose 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.
QUESTION 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 3
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
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- 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_forwardENGINEERING MECHANICS TOPIC: Forces in Spacearrow_forwardCase 1: Uniform beam under distributed load. In the shown Figure, a uniform beam subject to a linearly increasing distributed load. The deflection y (m) can be expressed by W. (-x5 + 2L²x³ –- L*x) 120EIL y = Wo Where E is the modulus of elasticity and I is the moment beam Use the following parameters L-600 cm, E=50,000 kN/cm?, l= 30.000 cm“, w.=2.5 kN/cm, to find the requirements ertia (m*), L length (a) (r = L, y = 0) (r = 0, y = 0) (b) Plot the following quantities versus distance along the beam Moment M(x) = Eld²y/dx². Shear V(x) = Eld³y/dx³. Loading w(x) = –Eld*y/dx+.arrow_forward
- 4. 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_forwardFor the beam cross section shown below, an applied anticlockwise torque of 30,000 Nmm is applied, but no other forces. d b By doing an equal twist analysis, we know that q1 = 2.5 x qi1 The dimensions are: a = 121 mm b=277 mm c= 117 mm d=71 mm Calculate the value of q11 Enter your answer as N/mm, to 3 significant figures, but without the units. You have an error margin of 3%. Type your answer.arrow_forwardSuppose that L = 25 mm. (Figure 1) Figure 150 mm 1B y I 150 mm 15 mm A 15 mm 100 mm 1 of 1 > Part A Determine the location y of the centroid C of the beam having the cross-sectional area shown. Express your answer to three significant figures and include the appropriate units. y = Submit Provide Feedback Request Answer P Pearsonarrow_forward
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