Introduction to Engineering Mechanics : A continuum Approach 1th. Edition by Jenn Stroud Rossmann; Clive L Dym | 9781420062717 | 1420062719 | Holooly

Continuum Mechanics

Introduction to Engineering Mechanics : A continuum Approach

58 SOLVED PROBLEMS

Question: B.3

Compute the curl of H = xi+ yj + zk , or H(r) = r. ...

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\nabla \times \underline{H}= \left | \begi...

Question: B.2

Compute the curl of F = − yi + xj . ...

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\nabla \times \underline{F}= \left | \begi...

Question: B.1

Calculate the divergence of F = xi + yj + zk. ...

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\nabla \cdot \underline{F}=\frac{∂}{∂x}(x)...

Question: 4.3.1

If the state of stress for an element is shown in Figure 4.23a, we may also express the state of stress on a wedge of angle α = 22.5 ̊. Because this wedge (ABC) is part of the original element, the stresses on faces AC and BC are known. They appear again on the wedge in Figure 4.19b. The unknown ...

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Face AB has area dA, in m² . The area correspondin...

Question: 4.2.1

Aneurysm, a ballooning or dilation of a blood vessel, often afflicts the abdominal aorta, a large vessel supplying blood to the abdomen, pelvis, and legs. While aneurysms can develop and grow gradually, the rupture (rapid expansion and tearing) of an aneurysm is usually catastrophic. Although the ...

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We’d like to model the artery as a pressure vessel...

Question: 2.1.1

By bending a thin ruler, you are able to deform it into a circular arc. This arc, with a radius of 30 in., encloses an angle of 23° at center, as shown. Find the average normal strain developed in the ruler. ...

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Given the initial length of the ruler,

L_o...

Question: 2.1.2

Let’s consider a structure that might be part of an underwater oil rig turned artificial reef. All members of the truss pictured here have a cross-sectional area of 500 mm 2 , and all the bolts and pin connectors have a diameter of 20 mm. Find (a) the axial or normal stresses in members BC and DE, ...

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Given a truss with specified parameters and loadin...

Question: 10.6

A person holds her hand out of an open car window while the car drives through still air at 65 mph. Under standard atmospheric conditions, what is the maximum pressure on her hand? What would be the maximum pressure if the car were traveling at 220 mph? ...

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We put ourselves in the frame of the person’s hand...

Question: 10.4

Uniform air flow with speed U = 1.5 m/s approaches a cylinder as shown in Figure 10.13. The velocity distribution at the location shown downstream in the wake of the cylinder may be approximated by u(y)=1.25+y²/4 −1<y<1, where u(y) is in m/s and y is in meters. Determine (a) the mass flux across ...

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We first select a control volume. It is generally ...

Question: 9.3

Gate AB has an evenly distributed mass of 180 kg and is 1.2 m wide “into the page” as illustrated in Figure 9.17. The gate is hinged at A and rests on a smooth tank floor at B. For what water depth h will the force at point B be zero? ...

Verified Answer:

We start with a free-body diagram (FBD) of gate AB...

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