![3· 16 pts] Determine the value of E16 under each concentrated load in the figure.](http://img.homeworklib.com/questions/d68b5e40-9505-11eb-812c-0bc2b9964b4d.png?x-oss-process=image/resize,w_560)
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3· 16 pts] Determine the value of E16 under each concentrated load in the figure. Moment...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine t...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine t...
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine the deflections δ and δ8 at points C and B respectively. (c) Determine the angle of rotations 0 and θι, at points C and B respectively. Use the Castigliano's theorem(s). Assume that the beam's flexural rigidity is EI Mo
Problem-1 (15 points) A cantilever beam ACB...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, fc, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section (rounded...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, f 'c, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q =...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
igwe 3 3, (4%) For a prismatic bar in the Figure 3, under a torque T...
igwe 3 3, (4%) For a prismatic bar in the Figure 3, under a torque T (Nm) which twists the bar, with length L (m) and radius r (m), for a small angle ? (radian): (Hint 3.1. The maximum shear stress (Tmax) is 3.2. The shear strain at the surface (Ymax) is (a) rmax degree (b) Ymax radian (c) Year-! deg/m (d) Ym", (no uni) 3.3. The shear modulus of elasticity G can be determined from known angle of twist...
OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P...
OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P at point C. If the beam has a radius ofr 50 mm, length L = 4 m, and load P 5 kN and E= 200 GPa (a) Draw the free body, shear force, bending moment and torque diagrams for both sections of the member (4 Marks) (b) What is the maximum bending stress induced in the member? (3 Marks) (c) What is the maximum...
Using moment area method, for the beam shown in Figure P-2 find deflection at the center (point C) and rotation under the concentrated load (point D). Also, find locat...
2 - Using moment area method, for the beam shown in Figure P-2 find deflection at the center (point C) and rotation under the concentrated load (point D). Also, find location and value of the maximunm deflection. EI constant. 3- Repeat Problem 2 where I for CB is twice as large as I for AC. 4 - For the beam shown in Figure P-3, find the reactions and draw shear and moment diagrams. A is fixed, B and D are hinges, and...
Problem l The beam shown below is laterally braced at D,F and F. The uniform load shown does not include the weight of the beam. Determine whether a W24x 104 ASTM A992 is adequate for bending and sh...
Problem l The beam shown below is laterally braced at D,F and F. The uniform load shown does not include the weight of the beam. Determine whether a W24x 104 ASTM A992 is adequate for bending and shear. P,-12k PL -36k 3k/ft 10 20 30 FIGURE P5.5-15 a) Determine the controlling load combination and calculate Pu (for the concentrated force) and wu (for wo plus beam's selfweight, which is a uniformly distributed load) b) Analyze the beam loaded with the...
3. Refer to Figure 3. A 64-foot steel beam supports a combination of concentrated and distributed...
3. Refer to Figure 3. A 64-foot steel beam supports a combination of concentrated and distributed loads: Force Fi = 9 K, F2 = 3.65 K, w1 = .525K per lineal foot, and w2 = .212K per lineal foot. In addition, your calculations must include an estimated beam weight of 148 pounds per lineal foot. Part A: What are the magnitudes, in kips, and directions of the vertical components of the reactions at each support? (4 points) Part B: Construct...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine the deflections δ and δ8 at points C and B respectively. (c) Determine the angle of rotations 0 and θι, at points C and B respectively. Use the Castigliano's theorem(s). Assume that the beam's flexural rigidity is EI Mo
Problem-1 (15 points) A cantilever beam ACB...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, fc, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section (rounded...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
igwe 3 3, (4%) For a prismatic bar in the Figure 3, under a torque T (Nm) which twists the bar, with length L (m) and radius r (m), for a small angle ? (radian): (Hint 3.1. The maximum shear stress (Tmax) is 3.2. The shear strain at the surface (Ymax) is (a) rmax degree (b) Ymax radian (c) Year-! deg/m (d) Ym", (no uni) 3.3. The shear modulus of elasticity G can be determined from known angle of twist...
OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P at point C. If the beam has a radius ofr 50 mm, length L = 4 m, and load P 5 kN and E= 200 GPa (a) Draw the free body, shear force, bending moment and torque diagrams for both sections of the member (4 Marks) (b) What is the maximum bending stress induced in the member? (3 Marks) (c) What is the maximum...
Problem l The beam shown below is laterally braced at D,F and F. The uniform load shown does not include the weight of the beam. Determine whether a W24x 104 ASTM A992 is adequate for bending and shear. P,-12k PL -36k 3k/ft 10 20 30 FIGURE P5.5-15 a) Determine the controlling load combination and calculate Pu (for the concentrated force) and wu (for wo plus beam's selfweight, which is a uniformly distributed load) b) Analyze the beam loaded with the...
3. Refer to Figure 3. A 64-foot steel beam supports a combination of concentrated and distributed loads: Force Fi = 9 K, F2 = 3.65 K, w1 = .525K per lineal foot, and w2 = .212K per lineal foot. In addition, your calculations must include an estimated beam weight of 148 pounds per lineal foot. Part A: What are the magnitudes, in kips, and directions of the vertical components of the reactions at each support? (4 points) Part B: Construct...
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