Explanation Given information: The weight of the block C is W = 25 lb . The modulus of elasticity is E = 29 × 10 6 psi . The maximum normal stress is σ m = 18 ksi . The length of the beam is L = 7.5 ft The section of the beam is W 5 × 16 . Calculation: Consider the acceleration due to gravity g = 32.2 ft / s 2 . Provide the section properties of the beam The beam is W 5 × 16 as shown below. The moment of inertia ( I y ) is 7.51 in . 4 . The elastic section modulus ( S x ) is 3 in . 3 . Sketch the deformation diagram as shown in Figure 1. Calculate the maximum bending moment ( M m ) as shown below. M m = σ m S x Substitute 18 ksi for σ m and 3 in . 3 for S x . M m = 18 × 3 = 54 kip ⋅ in . Calculate the equivalent force ( P m ) as shown below. P m = M m L Substitute 54 kip ⋅ in for M m and 7.5 ft for L . P m = 54 kip ⋅ in 7.5 ft × 12 in . 1 ft = 0.6 kips × 1 , 000 lb 1 kips = 600 lb Refer to Appendix D “Beam Deflections and Slope” in the text book, Calculate the maximum deflection ( y m ) as shown below. y m = P m L 3 3 E I Substitute 600 lb for P m , 7.5 ft for L , 7.51 in . 4 for I , and 29 × 10 6 psi for E

7th Edition

ISBN: 9780100257061

Author: BEER

Publisher: YUZU

See similar textbooks

Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Videos

Question

Chapter 11.5, Problem 49P

To determine

Find the largest speed v0 for which the maximum normal stress in the pipe does not exceed 18 ksi.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.5, Problem 48P

Chapter 11.5, Problem 50P

Students have asked these similar questions

w=15

Problem 10: The 48-kg collar G is released from rest in the position shown and is stopped by plate BDF that is attached to the 20-mm-diameter steel rod CD and to the 15-mm-diameter steel rods AB and EF. Knowing that for the grade of steel used allowable normal stress of 180 MPa and E=200 GPa, determine the largest allowable distance h. ACE 2.5m С D B F

! Required information The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 15 mm thick and is connected at C to the vertical rod by a 9-mm-diameter bolt. Know that P= 2.8 kN and 0 = 75°. 100 mm 175 mm Vo B 20 200 mm F 45 mm Determine the bearing stress at Cin member BD. The bearing stress at Cin member BD is 63.544 MPa.

Chapter 11 Solutions

EBK MECHANICS OF MATERIALS

Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - Prob. 7P Ch. 11.3 - Prob. 8P Ch. 11.3 - Using E = 29 106 psi, determine (a) the strain...Ch. 11.3 - Using E = 200 GPa, determine (a) the strain energy...

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.

Find the largest speed v 0 for which the maximum normal stress in the pipe does not exceed 18 ksi .

Solution Summary: The author calculates the maximum normal stress in the pipe for the largest speed v_0 and the section properties of the beam as shown in Figure 1.

Concept explainers

Videos

Find the largest speed v0 for which the maximum normal stress in the pipe does not exceed 18 ksi.

Want to see the full answer?

Chapter 11 Solutions