When solving the problems for Section 1.6, assume that the material behaves linearly elastically. Problem 1.6-1 A high-strength steel bar used in a large crane has diameter d-50 mm (see figure). The steel has modulus of elasticity E-200 GPa and Poisson's ratio -0.3. Because of clearance requirements, the diameter of the bar is limited to 50.025 mm when it is compressed by axial forces. What is the largest compressive load P that is permitted? Lataal strain

When solving the problems for Section 1.6, assume that the material behaves linearly elastically. Problem 1.6-1 A high-strength steel bar used in a large crane has diameter d-50 mm (see figure). The steel has modulus of elasticity E-200 GPa and Poisson's ratio -0.3. Because of clearance requirements, the diameter of the bar is limited to 50.025 mm when it is compressed by axial forces. What is the largest compressive load P that is permitted? Lataal strain

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Calculate the axial deformation of the Brass cylinder section (BC) shown in Figure 8. The…

A: Cross sectional area of steel, Cross sectional area of brass, Modulus of elasticity of steel,…

Q: An aluminum alloy cylinder with a diameter of 76 mm and a height of 150 mm. is subjected to a…

Q: A composite beam is made of two brass [E = 110 GPa] bars bonded to two aluminum [E = 71 GPa] bars,…

A: Bending moment=260Nm a=10mm b=85mm c=20mm d=55mm

Q: The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner…

Q: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200…

Q: 7. A solid aluminum cylinder is placed within an ASTM A501 steel tube as shown. Compute the stresses…

A: Given Data: The diameter of the solid aluminum cylinder is d1=3 in. The diameter of the steel tube…

Q: steel bar originally 200 mm long is pulled in tension with stress 150 MPa the magnitude of elastic…

Q: 3-21. The stress-strain diagram for a polyester resin is given in the figure. If the rigid beam is…

A: P = 80 kN or 80,000 N d = 40 mmD = 80 mm

Q: 6. A steel block (E=30 x 10° psi and v=0.29) is loaded under uniaxial compression along x.

A: Mohr's circle is generally the various points that pointing the magnitude of normal and shear stress…

Q: The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor…

Q: 2. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the…

Question

When solving the problems for Section 1.6, assume that the material behaves
linearly elastically.
Problem 1.6-1 A high-strength steel bar used in a large crane has diameter
d-50 mm (see figure). The steel has modulus of elasticity E-200 GPa and
Poisson's ratio -0.3. Because of clearance requirements, the diameter of
the bar is limited to 50.025 mm when it is compressed by axial forces.
What is the largest compressive load Pas that is permitted?
Lateral strain

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. b C P Steel: A=900 mm² E = 200 GPa L=1.5m Bronze: A 1200 mm E=83 GPa L=2.0m What is the value of P without exceeding the allowable stress of bronze, in kN? 174 145 161 124
A steel column has the following properties: Modulus of elasticity, E = 200 GPa, yield strength, Fy = 200 MPa, length, L = 12 m, moment of inertia, I = 37.7 x 10° mm* and area = 9,000 mm². Determine the following compressive stress if the column is fixed at both ends.
The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 25 mm, an inside diameter of 20 mm, and a shear modulus of G1 = 41 GPa. The solid steel core has a diameter of 20 mm and a shear modulus of G2 = 82 GPa. Assume L = 350 mm. The composite shaft is subjected to a torque of T = 910 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. T (1) (2) В
A rectangular steel block is 75 mm in the x-direction, 50 mm in the y-direction and 100 mm in the z direction. The block is subjected to triaxial loading consisting of three uniformly forces as follows: 24 KN tension in the x-direction, 250 KN compression in the y-direction, and 240 KN tension in the z-direction. If u = 0.3 and E = 200 GPa, Determine the total resulting strain in the z- direction. Note: CN is the last 2 non zero digits of your cellphone number
SITUATION. A steel plate ABCD of thickness t = 5mm is subjected to uniform stresses: = 100 MPa 0₂ = -60 MPa. Ox E =200GPa, v= 1/3 a = 160mm and b = 200 mm Calculate the change in thickness (mm). -0.0023 mm 0.0023 mm O O 0.0045 mm - 0.0045 mm Ł B AL C D X
SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4
Problem 6: The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The properties of the segments and the working stresses are listed in the table. Bronze A (in.²) Steel 2 ft E (psi) Ow (psi) Aluminum 4 ft 3 ft 2P Steel 0.75 30 × 106 20 000 Bronze 1.00 12 x 106 18 000 ЗР 4P Aluminum 0.50 10 × 106 12 000 Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 in. and the working stresses are not to be exceeded.
A high-strength steel bar used in a large crane has a diameter d = 3.00 in. (see figure). Ⓡ The steel has a modulus of elasticity E = 29 x 105 psi and Poisson's ratio is y = 0.27. Because of clearance requirements, the diameter of the bar is limited to 3.002 in. when it is compressed by axial forces. What is the largest compressive load Pmax that i permitted? Assume that the material behaves linearly elastically. (Enter the magnitude in lb.) lb
#2 will upvote to anyone who will answer
need help.
STRAIN
A composite beam is made of two brass [E = 112 GPa] bars bonded to two aluminum [E = 69 GPa] bars, as shown. The beam is subjected to a bending moment of 350 N-m acting about the z axis. Using a = 15 mm, b = 115 mm, c = 25 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum с Aluminum Answers: (a) Jal= (b) Obr= Brass i y i b Brass a a MPa MPa