EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.5, Problem 54P
For the concrete beam shown, the modulus of elasticity is 25 GPa for the concrete and 200 GPa for the steel. Knowing that b = 200 mm and d = 450 mm, and using an allowable stress of 12.5 MPa for the concrete and 140 MPa for the steel, determine (a) the required area As of the steel reinforcement if the beam is to be balanced, (b) the largest allowable bending moment. (See Prob. 4.53 for definition of a balanced beam.)
Fig. P4.53 and P4.54
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A simply supported wood beam that is 6.6 m long carries a 49 kN concentrated load at B. The cross-sectional dimensions of the beam
are b = 120 mm, d = 450 mm, a = 105 mm, and c = 50 mm. Section a-a is located at x = 1.1 m from B.
(a) At section a-a, determine the magnitude of the shear stress in the beam at point H.
(b) At section a-a, determine the magnitude of the shear stress in the beam at point K.
(c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span.
(d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length.
H
a
A
B
C
2L
b
3
Answer:
(a) TH =
i
kPa
(b) TK =
i
kPa
(c) Tmax
i
kPa
(d) Omax=
i
MPa
Use transformed section please
A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 11 in., d1 = 2.1 in., b2 = 2.1 in., d2 = 10 in., b3 = 6 in., and d3 = 2.1 in.
(e) If a bending moment applied about the z axis produces a tension normal stress of σx = 580 psi at the bottom of the cross section, determine the compression normal stress produced at the top of the cross section.
Chapter 4 Solutions
EBK MECHANICS OF MATERIALS
Ch. 4.3 - 4.1 and 4.2 Knowing that the couple shown acts in...Ch. 4.3 - 4.1 and 4.2 Knowing that the couple shown acts in...Ch. 4.3 - Using an allowable stress of 155 MPa, determine...Ch. 4.3 - Solve Prob. 4.3, assuming that the wide-flange...Ch. 4.3 - Using an allowable stress of 16 ksi, determine the...Ch. 4.3 - Knowing that the couple shown acts in a vertical...Ch. 4.3 - 4.7 and 4.8 Two W4 13 rolled sections are welded...Ch. 4.3 - 4.7 and 4.8 Two W4 13 rolled sections are welded...Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...
Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...Ch. 4.3 - Knowing that a beam of the cross section shown is...Ch. 4.3 - Knowing that a beam of the cross section shown is...Ch. 4.3 - Solve Prob. 4.13, assuming that the beam is bent...Ch. 4.3 - Knowing that for the extruded beam shown the...Ch. 4.3 - The beam shown is made of a nylon for which the...Ch. 4.3 - Solve Prob. 4.16, assuming that d = 40 mm.Ch. 4.3 - Knowing that for the beam shown the allowable...Ch. 4.3 - 4.19 and 4.20 Knowing that for the extruded beam...Ch. 4.3 - 4.19 and 4.20 Knowing that for the extruded beam...Ch. 4.3 - Straight rods of 6-mm diameter and 30-m length are...Ch. 4.3 - A 900-mm strip of steel is bent into a full circle...Ch. 4.3 - Straight rods of 0.30-in. diameter and 200-ft...Ch. 4.3 - A 60-Nm couple is applied to the steel bar shown,...Ch. 4.3 - (a) Using an allowable stress of 120 MPa,...Ch. 4.3 - A thick-walled pipe is bent about a horizontal...Ch. 4.3 - A couple M will be applied to a beam of...Ch. 4.3 - A portion of a square bar is removed by milling,...Ch. 4.3 - In Prob. 4.28, determine (a) the value of h for...Ch. 4.3 - For the bar and loading of Concept Application...Ch. 4.3 - Prob. 31PCh. 4.3 - It was assumed in Sec. 4.1B that the normal...Ch. 4.5 - 4.33 and 4.34 A bar having the cross section shown...Ch. 4.5 - 4.33 and 4.34 A bar having the cross section shown...Ch. 4.5 - 4.35 and 4.36 For the composite bar indicated,...Ch. 4.5 - Prob. 36PCh. 4.5 - 4.37 and 4.38 Wooden beams and steel plates are...Ch. 4.5 - 4.37 and 4.38 Wooden beams and steel plates are...Ch. 4.5 - 4.39 and 4.40 A copper strip (Ec = 105 GPa) and an...Ch. 4.5 - 4.39 and 4.40 A copper strip (Ec = 105 GPa) and an...Ch. 4.5 - 4.41 and 4.42 The 6 12-in. timber beam has been...Ch. 4.5 - 4.41 and 4.42 The 6 12-in. timber beam has been...Ch. 4.5 - 4.43 and 4.44 For the composite beam indicated,...Ch. 4.5 - Prob. 44PCh. 4.5 - Prob. 45PCh. 4.5 - Prob. 46PCh. 4.5 - A concrete slab is reinforced by 58-in.-diameter...Ch. 4.5 - Solve Prob. 4.47, assuming that the spacing of the...Ch. 4.5 - The reinforced concrete beam shown is subjected to...Ch. 4.5 - Prob. 50PCh. 4.5 - Knowing that the bending moment in the reinforced...Ch. 4.5 - A concrete beam is reinforced by three steel rods...Ch. 4.5 - The design of a reinforced concrete beam is said...Ch. 4.5 - For the concrete beam shown, the modulus of...Ch. 4.5 - 4.55 and 4.56 Five metal strips, each 0.5 1.5-in....Ch. 4.5 - 4.55 and 4.56 Five metal strips, each 0.5 1.5-in....Ch. 4.5 - The composite beam shown is formed by bonding...Ch. 4.5 - A steel pipe and an aluminum pipe are securely...Ch. 4.5 - The rectangular beam shown is made of a plastic...Ch. 4.5 - Prob. 60PCh. 4.5 - Knowing that M = 250 Nm, determine the maximum...Ch. 4.5 - Knowing that the allowable stress for the beam...Ch. 4.5 - Semicircular grooves of radius r must be milled as...Ch. 4.5 - Prob. 64PCh. 4.5 - A couple of moment M = 2 kNm is to be applied to...Ch. 4.5 - The allowable stress used in the design of a steel...Ch. 4.6 - The prismatic bar shown is made of a steel that is...Ch. 4.6 - Prob. 68PCh. 4.6 - Prob. 69PCh. 4.6 - Prob. 70PCh. 4.6 - The prismatic rod shown is made of a steel that is...Ch. 4.6 - Solve Prob. 4.71, assuming that the couples M and...Ch. 4.6 - 4.73 and 4.74 A beam of the cross section shown is...Ch. 4.6 - 4.73 and 4.74 A beam of the cross section shown is...Ch. 4.6 - 4.75 and 4.76 A beam of the cross section shown is...Ch. 4.6 - Prob. 76PCh. 4.6 - 4.77 through 4.80 For the beam indicated,...Ch. 4.6 - Prob. 78PCh. 4.6 - Prob. 79PCh. 4.6 - 4.77 through 4.80 For the beam indicated,...Ch. 4.6 - 4.81 through 4.83 Determine the plastic moment Mp...Ch. 4.6 - Prob. 82PCh. 4.6 - Prob. 83PCh. 4.6 - Determine the plastic moment Mp of a steel beam of...Ch. 4.6 - Determine the plastic moment Mp of the cross...Ch. 4.6 - Determine the plastic moment Mp of a steel beam of...Ch. 4.6 - Prob. 87PCh. 4.6 - Prob. 88PCh. 4.6 - Prob. 89PCh. 4.6 - Prob. 90PCh. 4.6 - Prob. 91PCh. 4.6 - Prob. 92PCh. 4.6 - Prob. 93PCh. 4.6 - Prob. 94PCh. 4.6 - Prob. 95PCh. 4.6 - Prob. 96PCh. 4.6 - Prob. 97PCh. 4.6 - Prob. 98PCh. 4.7 - Knowing that the magnitude of the horizontal force...Ch. 4.7 - A short wooden post supports a 6-kip axial load as...Ch. 4.7 - Two forces P can be applied separately or at the...Ch. 4.7 - A short 120 180-mm column supports the three...Ch. 4.7 - As many as three axial loads, each of magnitude P...Ch. 4.7 - Two 10-kN forces are applied to a 20 60-mm...Ch. 4.7 - Portions of a 1212-in. square bar have been bent...Ch. 4.7 - Knowing that the allowable stress in section ABD...Ch. 4.7 - A milling operation was used to remove a portion...Ch. 4.7 - A milling operation was used to remove a portion...Ch. 4.7 - The two forces shown are applied to a rigid plate...Ch. 4.7 - Prob. 110PCh. 4.7 - Prob. 111PCh. 4.7 - A short column is made by nailing four 1 4-in....Ch. 4.7 - A vertical rod is attached at point A to the cast...Ch. 4.7 - A vertical rod is attached at point A to the cast...Ch. 4.7 - Knowing that the clamp shown has been tightened...Ch. 4.7 - Prob. 116PCh. 4.7 - Three steel plates, each of 25 150-mm cross...Ch. 4.7 - A vertical force P of magnitude 20 kips is applied...Ch. 4.7 - The four bars shown have the same cross-sectional...Ch. 4.7 - Prob. 120PCh. 4.7 - An eccentric force P is applied as shown to a...Ch. 4.7 - Prob. 122PCh. 4.7 - Prob. 123PCh. 4.7 - Prob. 124PCh. 4.7 - A single vertical force P is applied to a short...Ch. 4.7 - The eccentric axial force P acts at point D, which...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - Prob. 133PCh. 4.9 - Prob. 134PCh. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - Prob. 137PCh. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - 4.135 through 44.140 The couple M acts in a...Ch. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - Prob. 141PCh. 4.9 - 4.141 through 4.143 The couple M acts in a...Ch. 4.9 - 4.141 through 4.143 The couple M acts in a...Ch. 4.9 - The tube shown has a uniform wall thickness of 12...Ch. 4.9 - Prob. 145PCh. 4.9 - Knowing that P = 90 kips, determine the largest...Ch. 4.9 - Knowing that a = 1.25 in., determine the largest...Ch. 4.9 - A rigid circular plate of 125-mm radius is...Ch. 4.9 - Prob. 149PCh. 4.9 - A beam having the cross section shown is subjected...Ch. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Prob. 153PCh. 4.9 - Prob. 154PCh. 4.9 - Prob. 155PCh. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Prob. 158PCh. 4.9 - A beam of unsymmetric cross section is subjected...Ch. 4.9 - Prob. 160PCh. 4.10 - For the curved bar shown, determine the stress at...Ch. 4.10 - For the curved bar shown, determine the stress at...Ch. 4.10 - Prob. 163PCh. 4.10 - Prob. 164PCh. 4.10 - The curved bar shown has a cross section of 40 60...Ch. 4.10 - Prob. 166PCh. 4.10 - Prob. 167PCh. 4.10 - Prob. 168PCh. 4.10 - The curved bar shown has a cross section of 30 30...Ch. 4.10 - Prob. 170PCh. 4.10 - Prob. 171PCh. 4.10 - Three plates are welded together to form the...Ch. 4.10 - 4.173 and 4.174 Knowing that the maximum allowable...Ch. 4.10 - Prob. 174PCh. 4.10 - Prob. 175PCh. 4.10 - Prob. 176PCh. 4.10 - Prob. 177PCh. 4.10 - Prob. 178PCh. 4.10 - Prob. 179PCh. 4.10 - Knowing that P = 10 kN, determine the stress at...Ch. 4.10 - Prob. 181PCh. 4.10 - Prob. 182PCh. 4.10 - Prob. 183PCh. 4.10 - Prob. 184PCh. 4.10 - Prob. 185PCh. 4.10 - Prob. 186PCh. 4.10 - Prob. 187PCh. 4.10 - Prob. 188PCh. 4.10 - Prob. 189PCh. 4.10 - Prob. 190PCh. 4.10 - For a curved bar of rectagular cross section...Ch. 4 - Two vertical forces are applied to a beam of the...Ch. 4 - Prob. 193RPCh. 4 - Prob. 194RPCh. 4 - Determine the plastic moment Mp of a steel beam of...Ch. 4 - In order to increase corrosion resistance, a...Ch. 4 - The vertical portion of the press shown consists...Ch. 4 - The four forces shown are applied to a rigid plate...Ch. 4 - Prob. 199RPCh. 4 - Prob. 200RPCh. 4 - Three 120 10-mm steel plates have been welded...Ch. 4 - A short length of a W8 31 rolled-steel shape...Ch. 4 - Two thin strips of the same material and same...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 201 (A) Q: For the beam ABCD carries a uniformly distributed load (w) as shown in the figure below. Portions AB and CD of the beam is hollow. If the allowable bending stress is 60 MPa, determine (1) the largest allowable value of the uniformly distributed load (w) that can be applied to the beam; (2) the bending stresse at a point that is 30 mm above the bottom of the beam at the section of maximum positive moment. 20mm w kN/m 200mm 160mm 2m 2m 20mm A AT 2 m B 20mm H 60mm 20mm Sec. (AB), (CD) 100mm Sec. (BC)arrow_forwardThe thin-walled Z-section beam as shown in Fig.(1) when the shear load S_y=100N, applied in the plane of the web BC. The second moments of area of the section about the x and y axes are; S₂ " a. Ix = 41666.66 mm4 ly 10416.66mm 4 - b. Ix=40066.67 mmª, 50mm Iy = 30416.67mm4 c. Ix 11633.61 mm², Iy = 604110.61mm 4 d. None of the above SA Fig.(1) B G SB 1mm 25mmarrow_forwardTwo steel plates have been welded together to form a beam in the shape of a T that has been strengthened by securely bolting to it the two oak timbers shown in the figure. The modulus of elasticity is 12.5 GPa for the wood and 200 GPa for the steel. Knowing that a bending moment M=50 kN?m is applied to the composite beam, determine (a) the maximum stress in the wood and (b) the stress in the steel along the top edge.arrow_forward
- A 6 * 10-in. timber beam has been strengthened by bolting to it the steel straps shown. The modulus of elasticity is E= 1.5 *106 psi for the wood and E= 30 * 106 psi for the steel. Knowing that the beam is bent about a horizontal axis by a couple of moment 200 kip·in., determine the maximum stress in (a) the wood, (b) the steel.arrow_forwardQ.I. An I-section beam, 150 mm wide by 250 mm deep, with flange and web of thickness 20 mm is used as a simply supported beam over a span of 7 m. The beam carries a distributed load of 6 kN/m and a concentrated load of 30 kN at mid-span. Determine: (a) the second moment of area of the cross- section of the girder, (b) the maximum stress set-up. 20 mm 150 mm B 20 mm 250 mm 20 mmarrow_forwardPlease solve correctlarrow_forward
- Knowing that the bending moment in the reinforced concrete beam is 1100 kip?ft and that the modulus of elasticity is 3.625 *106 psi for the concrete and 29* 106 psi for the steel, determine (a) the stress in the steel, (b) the maximum stress in the concretearrow_forwardi need the answer quicklyarrow_forwardThe 6 × 12-in. timber beam has been strengthened by bolting to it the steel reinforcement shown. The modulus of elasticity for wood is 1.8 × 106 psi and for steel, 29 × 106 psi. Knowing that the beam is bent about a horizontal axis by a couple of moment M = 458 kip·in., determine the maximum stress in the wood and in the steel. The maximum compressive stress in the block of wood is ksi (include a negative sign). The maximum tensile stress in the steel is ksi.arrow_forward
- A 5.0-m-long simply supported timber beam carries two concentrated loads as shown. The cross-sectional dimensions of the beam are also shown. Assume L1 = 1.0 m, L2 = 2.0m, P = 12 kN, Q = 31 kN, a = 135 mm, b = 150 mm, c = 90 mm, and d = 445 mm. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the 5.0-m span length. (d) Determine the maximum compression bending stress that occurs in the beam at any location within the 5.0-m span length. a H d В D Karrow_forwardThe structure below is subjected to a bending moment of 7kN.m, as shown in the figure. Determine (a) the reactions at supports A and C and on pin B, (b) the tensions on pins A, B and C, knowing that they have diameters of 4, 5 and 6 mm, respectively. Consider Double shear in A and C and single in Barrow_forwardSITUATION. Given: a = 1.5 m, b = 1.5 m, L= 2.4 m W В a- Beam properties: I = 198 x 105 mm Rod properties: Diameter = 12 mm E = 200 GPa E = 200 GPa 99. Due to the load, W, rod BC elongates by 1 mm. Find the force (KN) in rod BC which caused the elongation. A. 4.4 В. 6.4 C. 9.4 D. 11.4 100.Due to the load, W, the force developed in rod BC is 12 kN, what is the value of W (kN)? A. 20.47 с. 6 82 D. 24.00 B. 56.33 101.Due to a load, W = 40 kN, the force developed in rod BC = 10 kN. The diameter of rod BC is 16 mm. Find the moment (kN- m) at the fixed end. A. 90 В. 60 C. 45 D. 30arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License