### Learning Goal:To use Allowable Stress Design to calculate required dimensions using a specified factor of safety.A structural element that carries a load must be designed so that it can support the load safely. There are several reasons why an element may not be adequate for its task, including excessive stress that causes material failure.### Problem Description:An anchor rod with a circular head supports a load $ P_{\text{allow}} = 15 \text{ kN} $ by bearing on the surface of a plate and passing through a hole with diameter $ h = 3 \text{ cm} $ as shown in **Figure 1**. One way the anchor could break is by the rod failing in tension, as depicted in **Figure 2**. What is the minimum required diameter of the rod $ d $ for safety against tension failure if the factor of safety for tension failure is $ F.S. = 1.6 $, given that the material fails in tension at $ \sigma_{\text{fail}} = 60 \text{ MPa} $? Assume a uniform stress distribution.**Figure 1: Illustration of the Anchor Rod Setup**![Anchor Rod Setup](https://example.com/figure1.png) The figure shows a circular-headed rod passing through a plate with significant labeled dimensions: - $ D $: Diameter of the circular head- $ d $: Diameter of the rod- $ h $: Diameter of the hole (3 cm)- $ t $: Thickness of the plate- $ P $: Applied load (15 kN)**Figure 2: Tensile Failure of the Rod**![Tensile Failure](https://example.com/figure2.png)### Calculation:Express your answer with appropriate units to three significant figures.$ d = $ \_\_\_\_\_\_\_ \_\_\_\_\_\_**Input Area**- Value box- Units box- Submit button### Part B - Failure in ShearThe anchor from Part A can also fail in shear in the circular head, as shown in **Figure 3**. What is the minimum thickness $ t $ required for the head to support the allowed load $ P_{\text{allow}} = 15 \text{ kN} $ if the material fails in shear at $ \tau_{\text{fail}} = 30 \text{ MPa} $? Use a ### Learning Goal:To use Allowable Stress Design to calculate required dimensions using a specified factor of safety.A structural element that carries a load must be designed so that it can support the load safely. There are several reasons why an element may be incapable of supporting a load. It might fail due to bearing, shear, tension, or a combination of these factors.### Figure Explanation:The figure illustrates a structural element subjected to a load $ P $. The element is supported on both sides, indicating a common scenario in structural design where an element needs to be designed to avoid failure under the applied load.### Task:Using a given factor of safety $ F.S. = 2.2 $, your task is to express your answer with appropriate units to three significant figures.### Input Section:t = [Value] [Units]#### Submit ButtonClick [Submit] after inputting your values.---### Part C - Bearing FailureThe anchor in Part A could also fail if the surface of the support plate is crushed by the bearing load (Figure 4). What is the required minimum head diameter using a factor of safety $ F.S. = 1.4 $? The maximum bearing stress is $ \sigma_{\text{fail}} = 60 \text{MPa} $.#### Instructions:Express your answer with appropriate units to three significant figures.### Note:Ensure to utilize the provided hints and formulas as specified for accuracy.

(A) The given load (P) = 15 kN Hole diameter (h) = 3 cm FOS (n) = 1.6 Ultimate tensile stress = 60…

I Review An anchor rod with a circular head supports a load Pallow = 15 kN by bearing on the surface of a plate and passıng through a hole with diameter h = 3 cm as shown (Figure 1). One way the anchor could break is by the rod failing in tension, as shown (Figure 2). What is the minimum required diameter of the rod if the factor of safety for tension failure is F. S. = 1.6, given that the material fails in tension at Ofail = 60 MPa ? Assume a uniform stress distribution.

I Review An anchor rod with a circular head supports a load Pallow = 15 kN by bearing on the surface of a plate and passıng through a hole with diameter h = 3 cm as shown (Figure 1). One way the anchor could break is by the rod failing in tension, as shown (Figure 2). What is the minimum required diameter of the rod if the factor of safety for tension failure is F. S. = 1.6, given that the material fails in tension at Ofail = 60 MPa ? Assume a uniform stress distribution.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

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### Learning Goal:
To use Allowable Stress Design to calculate required dimensions using a specified factor of safety.

A structural element that carries a load must be designed so that it can support the load safely. There are several reasons why an element may not be adequate for its task, including excessive stress that causes material failure.

### Problem Description:
An anchor rod with a circular head supports a load $ P_{\text{allow}} = 15 \text{ kN} $ by bearing on the surface of a plate and passing through a hole with diameter $ h = 3 \text{ cm} $ as shown in **Figure 1**. One way the anchor could break is by the rod failing in tension, as depicted in **Figure 2**.

What is the minimum required diameter of the rod $ d $ for safety against tension failure if the factor of safety for tension failure is $ F.S. = 1.6 $, given that the material fails in tension at $ \sigma_{\text{fail}} = 60 \text{ MPa} $? Assume a uniform stress distribution.

**Figure 1: Illustration of the Anchor Rod Setup**
![Anchor Rod Setup](https://example.com/figure1.png)
The figure shows a circular-headed rod passing through a plate with significant labeled dimensions:
- $ D $: Diameter of the circular head
- $ d $: Diameter of the rod
- $ h $: Diameter of the hole (3 cm)
- $ t $: Thickness of the plate
- $ P $: Applied load (15 kN)

**Figure 2: Tensile Failure of the Rod**
![Tensile Failure](https://example.com/figure2.png)

### Calculation:
Express your answer with appropriate units to three significant figures.

$ d = $ \_\_\_\_\_\_\_ \_\_\_\_\_\_

**Input Area**
- Value box
- Units box
- Submit button

### Part B - Failure in Shear

The anchor from Part A can also fail in shear in the circular head, as shown in **Figure 3**. What is the minimum thickness $ t $ required for the head to support the allowed load $ P_{\text{allow}} = 15 \text{ kN} $ if the material fails in shear at $ \tau_{\text{fail}} = 30 \text{ MPa} $? Use a

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