Structural Analysis (10th Edition)
10th Edition
ISBN: 9780134610672
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 6.31P
To determine
(a)
Maximum negative shear at panel BC.
To determine
(b)
Maximum positive moment at B
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(5) The simply supported beam shown in figure supports uniformly distributed characteristicdead and imposed loads of 5 kNm-1 each, as well as a characteristic imposed point load of 30 kN at mid-span. Assuming the beam is fully laterally restrained and there is nominaltorsional restrain at supports, select a suitable UB section in S275 steel to satisfy bendingand shear considerations. Also, check the selected UB section against the deflection. (40 Marks)
A simply supported beam is subjected to the end couples (bending is about the strong axis) and the axial load shown
in the figure below. These moments and axial load are from service loads and consist of equal parts dead load and
live load. Lateral support is provided only at the ends. Neglect the weight of the beam and investigate this member as
a beam-column. Use Fy = 50 ksi. Suppose that P = 40 k and M = 68 ft-k.
For W10 x 33: Ix
=
=
171 in.4;
for L = 10 ft and C
for Lc = 10 ft:
= 1.0: фь Мп
=
134 ft-kips and Mn/b
=
89.3 ft-kips;
Pn = 330 kips and Pr/c = 220 kips.
W10 X 33
P
M
M
10'
a. Use LRFD.
Select the interaction formula:
A)
Pu 8
+
Mur
Muy
+
<1.0
Ферп 9
Фь Мих
Pu
Mux
Muy
B)
+
+
20c Pn
Фь Мих
ФоМпу
.)
<1.0
-Select-
Compute the interaction formula.
(Express your answer to three significant figures.)
-Select- 1.0
This member is -Select-
b. Use ASD.
Select the interaction formula:
Pa
A)
+
Pn/Sc
Max
Mnx/b
May
+
< 1.0
Mny
1/526
Pa
Max
May
B)
+
+
<1.0
2Pn/c Mnx/b
Mny/b
-Select- ✓…
5. Use the graph and data table below to determine:
strain(in/in)
0
Stress (psi)
30,000
25,000
20,00
15,000
stress (psi)
0
2,500
0.00025
5,000
0.0005
7,500
0.00075
9,600
0.00096
11,170
0.001117
13,500
0.00135
10,000
16,612
0.001875
15,430
0.0025
5,000
22,350
0.00312
26,800
0.0042
25,810
0.00472
Stress Strain Curve
☑
0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035
0.004
0.0045 0.005
Strain (in/in)
a) Proportional limits: (stress in units of psi, strain in units of in/in)
b) Modulus of elasticity (units: ksi)
c) Ultimate strength (units: psi)
d) Rupture strength (units: psi)
Chapter 6 Solutions
Structural Analysis (10th Edition)
Ch. 6 - Draw the influence lines for (a) the moment at C,...Ch. 6 - Prob. 6.2PCh. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10P
Ch. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - Prob. 6.26PCh. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.33PCh. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - Prob. 6.47PCh. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.52PCh. 6 - Prob. 6.53PCh. 6 - Prob. 6.54PCh. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - Prob. 6.59PCh. 6 - Prob. 6.60PCh. 6 - Prob. 6.61PCh. 6 - Prob. 6.62PCh. 6 - Prob. 6.63PCh. 6 - Prob. 6.64PCh. 6 - Prob. 6.65PCh. 6 - Prob. 6.66PCh. 6 - Prob. 6.67PCh. 6 - Prob. 6.68PCh. 6 - Prob. 6.69PCh. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Prob. 6.73PCh. 6 - Prob. 6.74PCh. 6 - Prob. 6.75PCh. 6 - Prob. 6.76PCh. 6 - Prob. 6.77PCh. 6 - Prob. 6.78PCh. 6 - Prob. 6.79PCh. 6 - Prob. 6.80PCh. 6 - Prob. 6.81PCh. 6 - Prob. 6.82PCh. 6 - Prob. 6.83PCh. 6 - Prob. 6.84PCh. 6 - Prob. 6.1PPCh. 6 - Prob. 6.2PP
Knowledge Booster
Similar questions
- Q2. Find the support reactions at A and F for the given structure in Fig.(2). 80kN-m 2 kN 1 m 2 m Im 1 m 2 m Fig. (2)arrow_forwardA continuous foundation is shown in Figure 1. If the load eccentricity, e = 0.5 meter. Determine the ultimate load Qult per unit length of the foundation. Use Mayerhof’s effective area method. Given B = 2 meter, Df = 2.0 meter , ϕ = 40 , c’ = 0 kN/m3, γ = 16.5 kN/m3 . Calculate also the Factor of Safety for the shallow foundation.arrow_forwardA simply supported beam is subjected to the end couples (bending is about the strong axis) and the axial load shown in the figure below. These moments and axial load are from service loads and consist of equal parts dead load and live load. Lateral support is provided only at the ends. Neglect the weight of the beam and investigate this member as a beam-column. Use Fy that P40 k and M = 68 ft-k. For W10 × 33: I = 171 in.4; 10 ft and C₁ = 1.0: Mn = 134 ft-kips and Mn/₁ = 89.3 ft-kips; = 50 ksi. Suppose for Lb for Lc - = 10 ft: Pn 330 kips and Pr/c = 220 kips. W10 X 33 P M M 10' Pu A) + Ферп 9 a. Use LRFD. Select the interaction formula: Mur 84, Mnz Muy + <1.0 Фь Мпу Pu Mur Muy B) + + ≤ 1.0 20c Pn Фь Мих nx ФоМпу -Select- ✓ Compute the interaction formula. (Express your answer to three significant figures.) -Select- 1.0 This member is -Select- b. Use ASD. Select the interaction formula: Ра 8 Max May A) + + <1.0 Pn/c Mnx/b Mny/b Pa Max May B) + + 1.0 2Pn/c Mnx/b Mny/b -Select- Compute the…arrow_forward
- Determine whether the given member satisfies the appropriate AISC interaction equation. Do not consider moment amplification. The loads are 50% dead load and 50% live load. Bending is about the x axis, and the steel is ASTM A992. Suppose that P = 280 k. For W12 x 106 with Fy = 50 ksi and Lc = 14 feet: Ферп 1130 kips, Pn/Sc = 755 kips, Mn = 597 ft-kips, Mn/₁ = 397 ft-kips. P 240 ft-k W12 X 106 14' K₁ = Ky = 1.0 240 ft-k a. Use LRFD. P Determine the factored axial compressive load and the factored bending moment. (Express your answers to three significant figures.) P₁ = Mu = kips ft-kips Select the interaction formula: P₁ A) + Мих Muy + ≤1.0 Ферп 9 Фь Мих of Mny Pu Мих Muy B) + 20c Pn Mnz + <1.0 Фь Мпу -Select- Compute the interaction formula. (Express your answer to three significant figures.) -Select- 1.0 This member -Select- b. Use ASD. the AISC Specification. Determine the total axial compressive load and the maximum bending moment. (Express your answers to three significant…arrow_forwardRefer to the following figure: K 6 m T 0.25 H 0.75 H 1 m A c,O,Y 3 m B 2 m 1 m C Figure Peck's (1969) apparent-pressure envelope for cuts in soft to medium clay Given: y = 17.5 kN/m³, c = 30 kN/m², 6 = 0, and center-to-center spacing of struts in the plan = 5 m. Determine the sheet-pile section modulus for the braced cut. Use all = 150 MN/m². (Enter your answer to three significant figures.) S = ×105 m³/marrow_forwardRefer to the braced cut shown in the following figure: -3.5 m 1 m A Sand Y,',c' 2 m B 2 m C 1.5 m Given: γ · = 21 kN/m³, ′ = 40°, and c' = 0. The struts are located at 4 m center-to-center in the plan. Determine the strut loads at levels A, B, and C. (Enter your answers to three significant figures.) PA = kN PB = kN Pc kNarrow_forward
- Refer to the following figures: 6 m 0.25 H 0.75 H 3 m 2 m 1 m A с.ф.у 1 m B Figure Peck's (1969) apparent-pressure envelope for cuts in soft to medium clay Given: y = 18.4 kN/m³, c = 30 kN/m², p = 0, and center-to-center spacing of struts in the plan = 5 m. Determine the strut loads at levels A, B, and C. (Enter your answers to three significant figures.) PA= kN PB = kN Pc= kNarrow_forwardRefer to the following figure: 6 m 3 m 2 m 1 m A c,φ,γ 1 m B Given: y = 17.9 kN/m³, c = 60 kN/m², 6 = 0, and center-to-center spacing of struts in the plan = 5 m. The length of the cut is 12.5 m. Determine the factor of safety against bottom heave for the braced cut. Use the equation CNC (1+0.25) FS = զ с x + H B' :) H (Enter your answer to three significant figures.) FS =arrow_forwardGiven Data Initial Road Design: • Design speed: 85 km/h • • Radius of both circular arcs: R = 845 m = 0.44 m/s³ = 250 m • Rate of gain of radial acceleration on all transitions: q Length of straight section between the curves: Lstr Redesigned Road: New design speed: 120 km/h • New radius: R' = 2500 marrow_forward
- Kindly answer correctly. Do not use AI.Please show the following:A diagram showing your understanding of each part of each question;Show your method of solving it; andCorrect solutions.arrow_forwardKindly show all the steps including a diagram.arrow_forward4-7 Nitrogen (molecular weight 28) expands reversibly in perfectly thermally insulated cylinder from 3.5bar, 200°C to a volume of 0.09m. If the initial volume occupied was 0.03m³, calculate the work done during the expansion. Assume nitrogen to be perfect gas and take Cv = 0.741kJ/kg.K (9.31kJ) 4-8 1kg of air at 1.02bar, 20°C is compressed reversibly according to a law p.V¹³ = const., to a pressure of 5.5bar. Calculate the work done on the air and the heat flow to or from the cylinder walls during the compression. (133.5kJ/kg; -33.38kJ/kg)arrow_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