A 2 by 4 wood beam (E = 2000 ksi) with an allowable flexural stress of...

A 2 by 4 wood beam (E = 2000 ksi) with an allowable flexural stress of 1200 psi is subjected to bending around it's strong axis. Determine the % increase in flexural moment capacity if the beam is reinforced by 2 0.25" steel (E = 30000 ksi) plates with an allowable flexural stress of 24000 psi at the top and the bottom of the beam respectively.

Expert Solution

Ally Wells answered 2 years ago

The allowable normal stress for member BC is σallow = 29 ksi and the allowable shear stress for the pins is τallow = 10 ksi.

The allowable normal stress for member BC is σallow = 29 ksi and the allowable shear stress for the pins is τallow = 10 ksi.(Figure 1)FigurePart ADetermine the required thickness of member BC.Express your answer to three significant figures and include the appropriate units.t =Part BDetermine the required diameter of the pin at A.Express your answer to three significant figures and include the appropriate units.dA =Part CDetermine the required diameter of the pin at B.Express your answer to three significant figures and include the appropriate units.dB =

4. The thickness of each part is 0.500”. The allowable stress of the material is 15,000...

4. The thickness of each part is 0.500”. The allowable stress of the material is 15,000 psi. The joint efficiency is 1.0 and the inside diameter is 60”. Calculate the maximum pressure for each part: a) 2:1 Ellipsoidal Head: __________ psi b) Torispherical Head: __________ psi c) Hemispherical Head: __________ psi d) Cylinder: __________ psi e) Sphere: __________ psi 5. State which shape is the best for containing pressure and which shape is the worst for containing pressure

The beam is constructed from three boards. (Figure 1) The allowable shear stress for the wood is τallow=335 psi. Each nail can resist a shear force of 395 lb. Part A Determine the maximum loads P tha...

The beam is constructed from three boards. (Figure 1) The allowable shear stress for the wood is τallow=335 psi. Each nail can resist a shear force of 395 lb.Part ADetermine the maximum loads P that it can support.Express your answer to three significant figures and include appropriate units.Part BWhat is the maximum allowable spacing s of the nails used to hold the top flange to the web? (Consider only regions AC and BD.)Express your answer to three significant figures and...

Assume that yield strength (ksi) for a steel is normally distributed with (sigma)^2 = 4. Assume...

Assume that yield strength (ksi) for a steel is normally distributed with (sigma)^2 = 4. Assume (mu)= 12 What is the yield strength value separates the strongest 6-% from the others? What is the probability that sample mean of yield strength is less than 12.5 for sample size 50? Assume the 99% confidence interval for (mu) is (7.7,9.2), what would be a 90% confidence interval calculated from the same sample size and sample mean? Assume we have a sample set...

E(Y) = 4, E(X) = E(Y+2), Var(X) = 5, Var(Y) = Var(2X+2) a. What is E(2X...

E(Y) = 4, E(X) = E(Y+2), Var(X) = 5, Var(Y) = Var(2X+2) a. What is E(2X -2Y)? b. What is Var(2X-Y+2)? c. What is SD(3Y-3X)? 2) In a large community, 65% of the residents want to host an autumn community fair. The rest of the residents answer either disagree or no opinion on this proposal. A sample of 18 residents was randomly chosen and asked for their opinions. a) What is th probability that the residents answer either disagree or...

Identify all allowable combinations of quantum numbers for an electron. n=3,n=3, ?=2,?=2, m?=2,m?=2, ms=−12ms=−12 n=5,n=5, ?=4,?=4,...

Identify all allowable combinations of quantum numbers for an electron. n=3,n=3, ?=2,?=2, m?=2,m?=2, ms=−12ms=−12 n=5,n=5, ?=4,?=4, m?=−1,m?=−1, ms=−12ms=−12 n=3,n=3, ?=−2,?=−2, m?=2,m?=2, ms=+12ms=+12 n=6,n=6, ?=6,?=6, m?=1,m?=1, ms=+12ms=+12 n=4,n=4, ?=3,?=3, m?=4,m?=4, ms=+12ms=+12 n=2,n=2, ?=0,?=0, m?=0,m?=0, ms=−1

Consider the ODE y"+ 4 y'+ 4 y = 5 e^(− 2 x ). ( a)...

Consider the ODE y"+ 4 y'+ 4 y = 5 e^(− 2 x ). ( a) Verify that y 1 ( x) = e − 2 x and y 2 ( x) = xe − 2 x satisfy the corresponding homogeneous equation. (b) Use the Superposition Principle, with appropriate coefficients, to state the general solution y h ( x ) of the corresponding homogeneous equation. (c) Verify that y p ( x) = 52 x 2 e − 2 x...

4. What are the material properties to be input in 2-D stress-strain analysis? 5. What are...

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GVC_E(V,E) 1. C =Φ 2. while ( E≠ Φ) 3. do 4. { select an edge...

GVC_E(V,E) 1. C =Φ 2. while ( E≠ Φ) 3. do 4. { select an edge (u,v)∈E; 5. C = C∪{u}∪{v}; 6. delete u and v from V and edges with u or v as an endpoint from E; 7. } 8. for each u∈C 9. { if C\{u} is a valid cover; 10. C = C\{u}; 11. } How can I complete the pseudo code on line 4 and line 8 by adding a heuristic specifying how to select...

Show that (x-2)2 -lnx = 0, [1,2] and [e,4] have at least one solution in the...

Show that (x-2)2 -lnx = 0, [1,2] and [e,4] have at least one solution in the given intervals.

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