Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.45 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.70in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2= 8 ft, and L3 = 3 ft. (a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.7 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. Aluminum (2) Bronze (1) L2 b A B Aluminum |L3 (3) D

Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.45 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.70in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2= 8 ft, and L3 = 3 ft. (a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.7 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. Aluminum (2) Bronze (1) L2 b A B Aluminum |L3 (3) D

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

See similar textbooks

Related questions

Q: Give a fire zone area in davao city Philippines

A: When there is a fire, there may be serious injuries, property destruction, or even fatalities. It…

Q: Identify the portion of a foot (12") as indicated by the reading from the zero mark (0) on the scale…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A blueprint for the floor of a natural history museum is shown the scale of the museum to the…

A: Given- A blueprint for the floor of a natural history museum. scale used=20 yards to 1 inch…

Concept explainers

Electrical Plans

An electrical plan is also known as an electrical drawing or a wiring diagram. It is a kind of visual representation which bears the blueprint symbols of all the electrical components in electrical house plans or various building construction projects. In other words, electrical plans describe electrical circuits and systems that build up the electrical house plans or building plans. An electrical engineer who works on various construction projects creates an electrical drawing. The engineer outlines the electric planning with different symbols and lines forming a detailed electrical circuit. These drawings are a means of representation for the clients, who will carry out the actual wiring process. In a nutshell, an electrical plan showcases the circuitry with the proper placement of electric components.

Question

Please answer part a b c

Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load Pis applied to the free end of
aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.45 in. Aluminum rod (2) has an
elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.70in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength
of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1= 6 ft, L2= 8 ft, and L3 = 3 ft.
(a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.7 is required.
(b) Determine the deflection of point D for the load determined in part (a).
(c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pin
connection, determine the minimum pin diameter that can be used at B.
Aluminum
(2)
Bronze
L2
(1)
b
A
B
C
Aluminum
L3
(3)
D

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Estimate the elastic and plastic strain at the ultimate tensile strength in the low-carbon steel specimen in Figure 6.16.
The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?
A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.
An iron specimen is plastically deformed in shear by 1%, and it has u dislocation density of 1 10 14 m/ m 3 Assume that the dislocation density did not change in the 1% strain of thisspecimen, the Burger's vector (b) is a 2 [1 1 1] the slip plane is (110). the shear stress isapplied to the (110) plane, and the lattice parameter of the BCC iron is 0.286 nm. Calculate the magnitude of the Burger's vector for these dislocations in iron. Calculate the average distance moved by the mobile dislocations as a result of the 1% shear strain.