Archives: Solution Manual
978-0073398167 Chapter 14 Solution Manual Part 1
PROBLEM 14.1 For the given state of stress, determine the normal and shearing stresses exerted on the oblique face of the shaded triangular element shown. Use a method of analysis based on the equilibrium of that element, as was done […]
978-0073398167 Chapter 13 Solution Manual Part 7
points indicated. SOLUTION 3 3 3 3 (0.5)(0.2)(1.4) 0.140 in (0.5)(0.2)(1.4) 0.140 in (0.2)(1.4)(0.8) 0.504 in 0 0.504 in a b c ab d mc Q Q QQQ Q QQ = = = = =++ = = = = VQ […]
978-0073398167 Chapter 13 Solution Manual Part 6
1n= in aluminum. 6 6 29 10 psi 2.7358 10.6 10 psi n× = = × in steel. Part 2 (in )nA (in.)y 3 (in )nAy (in.)d 22 (in )nAd 4 (in )nI Steel 8.2074 2.0 16.4148 0.2318 0.4410 2.7358 […]
978-0073398167 Chapter 13 Solution Manual Part 5
PROBLEM 13.40 A beam consists of five planks of 1.5 6-in. × cross section connected by steel bolts with a longitudinal spacing of 9 in. Knowing that the shear in the beam is vertical and equal to 2000 lb and […]
978-0073398167 Chapter 13 Solution Manual Part 4
PROBLEM 13.30 (a) point a, (b) point b. SOLUTION 3 3 64 64 11 (80)(80) (56)(68) 1.9460 10 mm 12 12 1.946 10 m I − =−=× = × (a) 11 2 2 33 63 2 (56)(6)(37) (2)(12)(40)(20) 31.632 10 […]
978-0073398167 Chapter 13 Solution Manual Part 3
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written PROBLEM 13.20 For the beam and loading shown, determine the largest shearing stress in section n–n. SOLUTION 25 kips AB RR= = At section n–n, […]
978-0073398167 Chapter 13 Solution Manual Part 2
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written PROBLEM 13.10 For the beam and loading shown, consider section n-n and determine (a) the largest shearing stress in that section, (b) the shearing stress […]
978-0073398167 Chapter 13 Solution Manual Part 1
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw–Hill Education. PROBLEM 13.1 Three boards, each of 1.5 3.5-in. × rectangular cross section, are nailed together to form a beam that is […]
978-0073398167 Chapter 12 Solution Manual Part 11
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written PROBLEM 12.84 Knowing that beam AB is in equilibrium under the loading shown, draw the shear and bending–moment diagrams and determine the maximum normal stress […]
978-0073398167 Chapter 12 Solution Manual Part 10
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written PROBLEM 12.76 (Continued) Shape 3 (in )S W27 84× 213 W24 68× 154 ← Lightest W-shaped section: W24 68× W21 101× 227 W18 76× […]
978-0073398167 Chapter 12 Solution Manual Part 9
select the most economical S-shape beam to support the loading shown. SOLUTION 0: 12 (9)(6)(3) (3)(18) 0 9 kips C MA A ∑= −+ − = = 0: 12 (3)(6)(3) (15)(18) 0 27 kips A MC C∑= − − = […]
978-0073398167 Chapter 12 Solution Manual Part 8
For equilibrium, 2.8 kipsBE= = Shear diagram: A to B−: 4.8 kipsV= − B+ to C−: 4.8 2.8 2 kipsV=−+ =− C+ to D−: 220V=−+ = D+ to E−: 0 2 2 kipsV=+= E+ to F: 2 2.8 4.8 kipsV=+= […]
978-0073398167 Chapter 12 Solution Manual Part 7
Bending moments: 0 A M= 0 2.0 2.0 kN m C M=−=− ⋅ 2.0 7.0417 5.0417 kN m D M=−+ = ⋅ 5.0417 5.0417 0 B M=−= Maximum 3 5.0417 kN m 5.0417 10 N mM= ⋅= × ⋅ Copyright […]
978-0073398167 Chapter 12 Solution Manual Part 6
Use entire beam as free body. 0: B MΣ= 90 (75)(5) (60)(5) (45)(2) (30)(2) (15)(2) 0 9.5 kips A−+ + + + + = = ↑A Shear A to C: 9.5 kipsV= Area under shear curve A to C: (15)(9.5) […]
978-0073398167 Chapter 12 Solution Manual Part 5
Shear: 0 0 (4)(2) 8 kips A B BA A V V V wdx = =− =−=− ∫ C to D: 8 kipsV= − D to B: 8 15 23 kipsV=−− =− Areas under shear diagram: A to C: 1(4)( […]
978-0073398167 Chapter 12 Solution Manual Part 4
obtained.) SOLUTION 480 N 320 NPQ= = Reaction at A: 0: 480( 0.5) 320(1 ) 0 560 800 N D M Aa a a Aa Σ = + − − −= = − Bending moment at C: […]
978-0073398167 Chapter 12 Solution Manual Part 3
Use portion CB as free body. 3 0: (3)(2.1)(1.05) (8)(2.1) 0 23.415 kN m 23.415 10 N m C MM M Σ = −+ + = = ⋅= × ⋅ For 33 63 W310 60, 844 10 mm 844 10 […]
978-0073398167 Chapter 12 Solution Manual Part 2
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written PROBLEM 12.8 Draw the shear and bending–moment diagrams for the beam and loading shown, and determine the maximum absolute value (a) of the shear, (b) […]
978-0073398167 Chapter 12 Solution Manual Part 1
PROBLEM 12.1 For the beam and loading shown, (a) draw the shear and bending–moment diagrams, (b) determine the equations of the shear and bending–moment curves. SOLUTION 2 consent of McGraw–Hill Education. Reactions: 0: 0 C Pb M LA bP A […]
978-0073398167 Chapter 11 Solution Manual Part 12
consent of McGraw–Hill Education. The maximum stress occurs at point B. 3 15 ksi 15 10 psi B BP Mc P Pec KP AI AI s s =− =−× =−− =−− =− where 2 3 34 11.0 in. (0.5)(0.5) 0.25 […]
978-0073398167 Chapter 11 Solution Manual Part 11
consent of McGraw–Hill Education. SOLUTION 34 64 11 (0.120 m)(0.06 m) 2 (0.02 m) 12 12 4 2.1391 10 mm − = −⋅ = × I π (a) 3 64 (2.8 10 N m)(0.03 m) 2.1391 10 […]
978-0073398167 Chapter 11 Solution Manual Part 10
consent of McGraw–Hill Education. SOLUTION Continued Intersection of neutral axis with line BD or its extension. 0 0.9 in., ? 900 540 (800)( 2) O= 7.2 1.944 9.6 41.6667 277.778 0 0.15 in. y z zy zz Mz My Py […]
978-0073398167 Chapter 11 Solution Manual Part 9
consent of McGraw–Hill Education. Locate centroid. 2 , inA , in.z 3 , inAz 16 −1 −16 8 2 16 Σ 24 0 The centroid lies at point C. 3 34 3 34 11 (2)(8) (4)(2) 88 in […]
978-0073398167 Chapter 11 Solution Manual Part 8
consent of McGraw–Hill Education. PROBLEM 11.67 A vertical force P of magnitude 20 kips is applied at point C located on the axis of symmetry of the cross section of a short column. Knowing that 5 in.,y= determine (a) the […]
978-0073398167 Chapter 11 Solution Manual Part 7
consent of McGraw–Hill Education. (a) Centric loading: 4 in. × 4 in. cross section (4)(4) 16 inA= = 12 16 P A σ =−=− 0.75 ksi σ = − (b) Eccentric loading: 4 in. × 3 in. cross section […]
978-0073398167 Chapter 11 Solution Manual Part 6
consent of McGraw–Hill Education. PROBLEM 11.49 Two forces P can be applied separately or at the same time to a plate that is welded to a solid circular bar of radius r. Determine the largest compressive stress in the circular […]
978-0073398167 Chapter 11 Solution Manual Part 5
consent of McGraw–Hill Education. PROBLEM 11.40 Solve Prob. 11.39, assuming that the 300–mm width is increased to 350 mm. PROBLEM 11.39 The reinforced concrete beam shown is subjected to a positive bending moment of 175 kN ⋅ m. Knowing that […]
978-0073398167 Chapter 11 Solution Manual Part 4
consent of McGraw–Hill Education. Use wood as the reference material. 1.0 in wood / 29/2 14.5 in steel sw n n EE = = = = For the transformed section, 32 1 1 11 1 11 324 2 34 2 […]
978-0073398167 Chapter 11 Solution Manual Part 3
consent of McGraw–Hill Education. 600 32.5 19.5 10× 500 12.5 3 6.25 10× Σ 1100 3 25.75 10 × 3 025.75 10 23.41 mm The neutral axis lies 23.41 mm above the bottom. 1100 Y× = = top […]
978-0073398167 Chapter 11 Solution Manual Part 2
consent of McGraw–Hill Education. PROBLEM 11.11 Two vertical forces are applied to a beam of the cross section shown. Determine the maximum tensile and compressive stresses in portion BC of the beam. SOLUTION A 0 y 0 Ay 8 […]
978-0073398167 Chapter 11 Solution Manual Part 1
consent of McGraw–Hill Education. For rectangle: 12 I bh= Outside rectangle: 3 1 1(80)(120) 12 I= 6 4 64 111.52 10 mm 11.52 10 mI− =×=× Cutout: 3 21(40)(80) 12 I= 6 4 64 2 1.70667 10 mm 1.70667 10 […]
978-0073398167 Chapter 10 Solution Manual Part 7
consent of McGraw–Hill Education. PROBLEM 10.57 Ends A and D of the two solid steel shafts AB and CD are fixed, while ends B and C are connected to gears as shown. Knowing that the allowable shearing stress is 50 […]
978-0073398167 Chapter 10 Solution Manual Part 6
consent of McGraw–Hill Education. Gear B. 0: B MΣ= 0/ B A BB rF T F T r−= = Gear C. 0: C MΣ= 0 CD C DC A B B rF T r T r F T nT r […]
978-0073398167 Chapter 10 Solution Manual Part 5
consent of McGraw–Hill Education. PROBLEM 10.39 The solid cylindrical rod BC of length L = 24 in. is attached to the rigid lever AB of length a = 15 in. and to the support at C. Design specifications require that […]
978-0073398167 Chapter 10 Solution Manual Part 4
consent of McGraw–Hill Education. PROBLEM 10.29 The torques shown are exerted on pulleys A and B. Knowing that the shafts are solid and made of steel (G = 77.2 GPa), determine the angle of twist between (a) A and B, […]
978-0073398167 Chapter 10 Solution Manual Part 3
Copyright © McGraw–Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw–Hill Education. PROBLEM 10.21 A torque of magnitude 100 N mT= ⋅ is applied to shaft AB of the gear train shown. Knowing […]
978-0073398167 Chapter 10 Solution Manual Part 2
consent of McGraw–Hill Education. PROBLEM 10.11 Under normal operating conditions, the electric motor exerts a torque of 2.4 kN ⋅ m on shaft AB. Knowing that each shaft is solid, determine the maximum shearing stress in (a) shaft AB, (b) […]
978-0073398167 Chapter 10 Solution Manual Part 1
consent of McGraw–Hill Education. PROBLEM 10.1 Determine the torque T that causes a maximum shearing stress of 70 MPa in the steel cylindrical shaft shown. SOLUTION 4 max 3max 36 ;2 2 (0.018 m) (70 10 Pa) 2 641.26 N […]
978-0132992282 Chapter 9 Solution Manual
Additional Issues for Classroom Discussion 1. Where Would We Be Without Equilibrium Forces? Economists generally take for granted that markets work so that powerful economic forces return the 2. What Assumptions Are Unrealistic? In developing our model of the economy, […]
978-0132992282 Chapter 9 Lecture Note Part 2
4. Since the FE, IS, and LM curves don’t intersect, the price level adjusts, shifting the LM curve until a general equilibrium is reached 5. The inflation rate rises temporarily, not permanently 6. Summary: The real wage, employment, and output […]
978-0132992282 Chapter 9 Lecture Note Part 1
Chapter 9 The IS–LM/AD-AS Model: A General Framework for Macroeconomic Analysis Learning Objectives 1. Describe the factors that explain the full-employment (FE) line (Sec. 9.1) 2. Discuss the factors that affect the IS curve, which represents equilibrium in the goods […]
978-0132992282 Chapter 8 Solution Manual
Additional Issues for Classroom Discussion 1. Should the Government Try to Prevent Recessions? Ask your class if they think the government should try to prevent recessions. Most people do, but some 2. Should Government Policy Prevent the Seasonal Cycle? Most […]
978-0132992282 Chapter 8 Lecture Note
Business Cycles Learning Objectives I. Goals of Part 3 A. What causes business cycles? B. How should policymakers respond to cyclical fluctuations? 1. Classical economists see little need for government action 2. Keynesian economists think government intervention can smooth the […]
978-0132992282 Chapter 7 Solution Manual
Additional Issues For Classroom Discussion 1. How Has Technology Changed Money? Ask your students how they think improved technology has changed the role of money in the economy. They might mention such things as ATMs, which allow better access […]
978-0132992282 Chapter 7 Lecture Note
The Asset Market, Money, and Prices Learning Objectives I. Goals of Chapter 7 A. Define money, discuss its functions, and describe how it is measured in the United States (Sec. II. Notes to Seventh Edition Users A. Table 7.1 now […]
978-0132992282 Chapter 6 Solution Manual
as capital with your class. When computers are part of a firm’s capital, they contribute to production. Suppose, however, that the government counts more computers than there really are. This could happen, for example, if it was using a computer […]
978-0132992282 Chapter 6 Lecture Note
A. Discuss the sources of economic growth and the fundamentals of growth accounting (Sec. 6.1) B. Explain the factors affecting long-run living standards in the Solow model (Sec. 6.2) C. Summarize endogenous growth theory (Sec. 6.3) D. Discuss government policies […]
978-0132992282 Chapter 5 Solution Manual
Ask your students to list some of the ways in which our country interacts with others. What goods and services do we buy from other countries? What goods and services do other countries buy from us? You might also show […]
978-0132992282 Chapter 5 Lecture Note
A. Explain how the balance of payments is calculated (Sec. 5.1) B. Discuss goods market equilibrium in an open economy (Sec. 5.2) C. Describe the factors that affect saving and investment and determine the current account balance in a small […]
978-0132992282 Chapter 4 Solution Manual Part 2
3. (a) The temporary increase in the price of oil reduces the marginal product of labor, causing the labor demand curve to shift to the left from ND1 to ND2 in Figure 4.10. At equilibrium, there is a reduced real […]