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Nikitich
12 days ago
5

Calculate the Engineering Ultimate Tensile Strength and the maximum load in tension testing of an annealed copper specimen with

an original diameter of 5 mm. Assume that the strain hardening coefficient for annealed copper is 0.50 and that the true stress at necking is 290 MPa.
Physics
1 answer:
inna [3.1K]12 days ago
3 0
Explanation: The initial diameter is 5 mm, which translates to d= 0.005 m and r=0.0025 m. The true stress (σ) equals 290 MPa, with the annealing coefficient for copper (n) at 0.5. True stress is defined as force over area, or σ=F/A, with Ao=πr² resulting in Ao=1.963×10^-5 m². By substituting σ into the equation, F can be derived: F=σ ×A yielding F=290×10^6 ×π×(0.0025)², leading to F=5694.13 N. With σ=Kε^n, we have 290=Kε^0.5, indicating ε=0.5 at necking. Thus, it can be deduced that 290=K×0.5^0.5, giving K=410.12 MPa. The equation ε=In(Ao/A) leads to 0.5=In(π×0.0025²/A), resulting in exp(0.5)=1.96×10^-5/A, which rearranges to A=1.96×10^-5/exp(0.5); therefore, A= 1.2×10^-5 m² representing the new area. Subsequently, the Ultimate Tensile Stress is calculated as σ=F/A, or σ=5694.13/1.2×10^-5, yielding σ=4.75×10⁸Pa, which equals σ=475 MPa. Consequently, the ultimate tensile stress amounts to 475MPa. The maximum tension is derived from Fo/Ao=F/A, resolving to F=(Fo/Ao) ×A yielding F=(5694.13/1963×10^-5)×1.2×10^-5, resulting in F= 3479.99, ultimately F=3480 N.
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29 days ago
Determine the sign (+ or −) of the torque about the elbow caused by the biceps, τbiceps, the sign of the weight of the forearm,
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9. A 2 liter bottle of Coke weighs about 2 kilograms. If that bottle were combined with an equal amount of anti-Coke, how many J
Maru [3345]

Answer:

The energy expected to be released is calculated to be 4182 Joules.

Explanation:

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1 month ago
Assume that the cart is free to roll without friction and that the coefficient of static friction between the block and the cart
Keith_Richards [3271]

Answer:F=\frac{(M+m)g}{\mu _s}

Explanation:

Provided:

The trolley, with mass M, is allowed to roll freely without friction.

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A force F is applied to mass m.

The acceleration of the system is

a=\frac{F}{M+m}

The frictional force will counterbalance the weight of the block.

The frictional force is =\mu _sN

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Pkas

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