3. Calculate the slope and deflection at the 60-kNm couple on the structure shown in the accompanying illustration. Use: a. Moment Area Method, b. Conjugate Beam Method
Q: Situation 2: In the given beam below, determine the following: Use both DIM and AMM • Reaction at…
A: The above question refers to using both the DIM and AMM methods. DIM is a Double Integration Method…
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A: Solution is given below.
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A: Note: Dear Student! As per our guidelines, we are only allowed to answer a single question. Kindly…
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Q: SHOW THE FOLLOWING: 1. COMPUTATION OF REACTIONS 2. SHEAR AND MOMENT DIAGRAM 3. MAXIMUM BENDING…
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A: Given that , load at A = 1000 N AB =12 m Force per meter on AB = 360 N/m
Q: The beam shown carries a uniformly distributed load of 2 kN/m along span BC. The beam is supported…
A: Solution: ∑MB = 0 ⇒ 2 x 6 x 3 = RC x 6 ⇒ RC = 6 kN ∑Fy = 0 ⇒RB + RC = 2 x 6 = 12 kN ⇒ RB = 12 - RC…
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A: For beam I: Since the direction of moment is reversed.
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A: Weight of the triangular load=12×111×4.9=271.95 lb This load is acted 1.634 inches from end B
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Q: Calculate reactions and moment at A of The cantilevered beam
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A: Since the beam is symmetric:Reactions at each end=202=10N
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A: For solution refer below images.
Q: Calculate the support reactions of the beam shown.
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- [Q+](problem 3/17P133) رسم لسئؤال The uniform beam has a mass of (180 kg). Compute the reactions at the 1.4 kN 3 kN B. A 0.6 m Hint, put Wat point A 0.6 m "o". 1.8 m 0.6 m 30 pin o,Determine the reactions at pin A and rollers B and C of the continuous beam shown below. Note: Express your answers following the standard sign convention for the coordinate system shown. Given: • L= 15 m YA Ay B₁ = C₁= L A F = 33 kN % = 9.5 kN/m X L number (rtol-0.01, atol-1e-05) number (rtol-0.01, atol-1e-05) number (rtol=0,01, atol=1e-05) qo B k kN ? kN 3 kN 3 Po 4/2 L CCalculate the support reaction at A and B for thve beam shown in the fiqure below Take F 700 N. 3M 1M By Reaction force at point B By UN. Reaction force at point A N. Ay=
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and w=10.5 kips/ft. Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since A, -0, it has been omitted from the free-body diagram.) Answer: (a) Vi (b) V = i (c) V- a Answers: A, kips, Cy Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i..., just to the right of support A) (b) x-9 ft (c)x=13ft When entering your answers, use the shear force sign convention. kips. kips. kips. b (a) M- (b) M- (c) M-i С Cy The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Answer:x-i ft. kip-ft. kip-ft. kip-ft. kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.…Use the slope deflection method by using the graphical method to calculate deflections and draw bending moment diagrams then draw the shear force, axial force and bending moment diagrams.Problem 2 (30 points): The formula for the deflection of the beam shown is: Wo y(x) = (-x5 + 5Lx-10L?x3 + 10L³x²) 120LEI Wo 15 x 107 N L = 2m %3D max m E = 7 × 1011 N m2 I = 6 x 10-4m Use the Newton-Raphson Method to determine the x location along the beam where the deflection is y(x) = 0.14 m. Use a starting guess of xo 1.2 m. Be sure to show your %3D calculation for the derivative of the function and your calculations you use to fill out the table. You only need to perform two iterations of the method, which means you should fill out the table below. Notice that y is defined as positive in the downward direction, which means that both the function and the target deflection are positive values in the coordinate system. y(xn) y'(xn) Xn+1 Step Xn 2.
- Compute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft. The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans. Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam. Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…1. Determine how much bar will deflect at various points aong its length. 2. Approximate the original problem as a five element system.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Determine the bending moment acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5 mWhen entering your answers, use the bending moment sign convention.Answers:(a) M = kN-m.(b) M = kN-m.(c) M = kN-m.(d) M = kN-m.
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.)Answers: Ay = kN, MA = kN-m.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 m, b=2.5 m, PB = 4 kN, PC = 4 kN, and MB = 60 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.)Answers: Ay = kN, MA = kN-m. Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 4.0– m (i.e., just to the left of B)(c) x = 4.0+ m (i.e., just to the right of B)(d) x = 6.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = kN.(b) V = kN.(c) V = kN.(d) V = kN.Find the support reactions for the simple beam below Y X A 10 ft. B TIM * 5 ft. 10 k