EBK STRUCTURAL ANALYSIS
10th Edition
ISBN: 8220106821596
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 4.10P
To determine
The internal normal force, shear force and bending moment at C and D.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider the following figure:
H/3
Pa
Given: H = 7 m, y = 13 kN/m³, ø′ = 25°, c′ = 12 kN/m², and a = 10°. For given values, K₁ = 0.296. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack.
(Enter your answer to three significant figures.)
Pa
=
kN/m
Wall
movement
to left
45+ '/2
45 + 6'/2
Rotation of wall
about this point
A vertical retaining wall shown in the figure above is 7 m high with a horizontal backfill. For the backfill, assume that y = 14.5 kN/m³, ' = 26°, and c′ = 18 kN/m². Determine the Rankine active force per unit
length of the wall after the occurrence of the tensile crack.
(Enter your answer to three significant figures.)
Pa =
kN/m
Consider the following figure:
0.6
"d
0.5
k₁ = 0
0.4
03
=0
kh = 0.2
0.3
0.025
0.2
0.05
0.1
0.1
0.2
0
-0.1
↓
0
5
10
15
20
25
30 35
40
45
' (deg)
For a retaining wall with a vertical back and horizontal backfill with a c'-' soil, the following are given:
H = 10 ft
Y = 111 lb/ft³
' = 25°
kh = 0.2
k₁ = 0
c = 113 lb/ft²
Determine the magnitude of active force Pae on the wall.
(Enter your answer to two significant figures.)
Pae
=
lb/ft
Chapter 4 Solutions
EBK STRUCTURAL ANALYSIS
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10P
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Prob. 4.1PPCh. 4 - Prob. 4.2PP
Knowledge Booster
Similar questions
- A 13.0 ft high vertical wall retains an overconsolidated soil where OCR = 1.5, c' = 0, and ' magnitude and the location of the horizontal load on the wall, assuming the at-rest condition. Use Ysat (Enter your answers to three significant figures.) 33°. If the entire soil behind the wall is submerged with the water level at the ground surface, determine the 127 lb/ft³. Activity Frame P₁ = lb/ft Height above the bottom of the wall = O Icon Kov ftarrow_forward= A 5 m high smooth vertical wall retains a clay backfill with c = 13 kN/m², ' -25°, and y = 17.0 kN/m³. The clay is in active state. a. Determine the maximum tensile stress within the clay. (Enter your answer to three significant figures.) σα = kN/m² b. Determine the depth of the tensile cracks. (Enter your answer to three significant figures.) Zo = m c. Determine the magnitude and location of the active thrust, neglecting the tensile zone. (Enter your answers to three significant figures.) Pa x = = kN/m² marrow_forwardA composite beam is fabricated by bolting two 3.1-in.-wide by 14-in.-deep timber planks to the sides of a 0.4-in. by 14-in. steel plate. The moduli of elasticity of the timber and the steel are 1940 ksi and 30300 ksi, respectively. The simply supported beam spans a distance of 21 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 5 ft, Lgc = 11 ft, b = 3.1 in., d = 14 in. and t = 0.4 in. (a) Determine the maximum bending stresses σ,, σ, produced in the timber planks and the steel plate if P = 2.1 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 830 psi and 24900 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) LAB B Answers: LCD LBC b Cross section D ksi, σ, = i ksi. (a) σ, = (b) P= i i kips.arrow_forward
- The internal shear force at a certain section of a steel beam is V = 107 kips. If the beam has the cross section shown, determine the shear stress at point H, which is located 2 in. below the top surface of the flanged shape. The centroid is 5.283 in. above the bottom surface of the beam, and the moment of inertia about the z axis is 465.8 in.4. 5 in. 2 in. H 业 1 in. 1 in. 12 in. 8 in. 1 in. 11.51 ksi O 9.72 ksi 8.34 ksi 6.03 ksi ○ 7.73 ksiarrow_forwardThe beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 33.6 ksi. Assume P = 70 kips. L₁ = 2.2 ft, and L2 = 6.6 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (ie, not including the loads that are carried by the beam)? Lu B D L2 L₁ Wide-Flange Sections or W Shapes-U.S. Customary Units x x be Web Area Depth thickness Flange width Flange thickness Designation A d Tw by 4 S₁ و" in.² in. in. in. in. in,4 in.³ in. in.4 in,³ in. W24 x 94 27.7 24.3 0.515 9.07 0.875 2700 222 9.87 109 24.0 1.98 24 x 76 22.4 23.9 0.440 8.99 0.680 2100 176 9.69 82.5 18.4 1.92 24 x 68 20.1 23.7 0.415 8.97 0.585 1830 154 9.55 70.4 15.7 1.87 24 x 55 16.2 23.6 0.395 7.01 0.505 1350 114 9.11 29.1 8.30 1.34 W21 x 68 20.0 21.1 0.430 8.27 0.685 1480 140 8.60 64.7 15.7 1.80 21 x 62 18.3 21.0 0.400 8.24 0.615 1330 127…arrow_forwardA composite beam is made of two brass [E=114 GPa] bars bonded to two aluminum [E = 74 GPa] bars, as shown. The beam is subjected to a bending moment of 335 N-m acting about the z axis. Using a = 5 mm, b = 30 mm, c = 10 mm, and d = 20 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. N Aluminum C Brass Brass Aluminum b Answers: (a) σal= (b) Obr= a a MPa MPaarrow_forward
- A standard steel pipe (D = 3.500 in.; d = 3.068 in.) supports a concentrated load of P = 630 lb as shown. The span length of the cantilever beam is L = 4 ft. Determine the magnitude of the maximum horizontal shear stress in the pipe. 720 psi 761 psi 508 psi 564 psi 667 psi L Pipe cross section.arrow_forwardA beam is subjected to equal bending moments of M₂ = 59 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.4 in., b₂ = 0.55 in., d₂ = 5.0 in., b3 = 3.2 in., and d3 = 1.5 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ Z M₂ Answer: (a) y= i Iz= in. in.4 S= i on,3 (b) σH= i ksi (c) OK = i ksi (d) σmax= ksi K b₁ d₁ H b₂ b3 d₂ d3arrow_forwardA cantilever timber beam with a span of L = 2.9 m supports a uniformly distributed load w. The beam width is b = 300 mm and the beam height is h = 160 mm. The allowable bending stress of the wood is 7 MPa. Determine the magnitude of the maximum load w that may be carried by the beam. Answer: w= I i kN/m.arrow_forward
- AW18 × 40 standard steel shape is used to support the loads shown on the beam. Assume P = 24 kips, w = 4.4 kips/ft, LAB = 4.6 ft, LBC = 4.6 ft, and LCD = 15.0 ft. Determine the magnitude of the maximum bending stress in the beam. B C Answer: LAB ✓ LBC Omax i ksi W LCD xarrow_forwardA simply supported timber beam carries a uniformly distributed load of w = 3 kN/m. Determine the magnitude of the largest horizontal shear stress at point H, which is 60 mm above the centroid, anywhere along the length of the beam. 293 kPa 234 kPa 252 kPa 321 kPa ○ 163 kPa พ 4 m 300 mm B 1 m 100 mm K 60 mm * 75 mmarrow_forwardThe "New Jersey" barrier is commonly used during highway construction. Determine its weight per foot of length if it is made from plain stone concrete. 4 in. 75°- 12 in. 55° 6 in. -24 inarrow_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