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Check my work A cantilever beam of length L = 70 in is made from two...
60 in 150 lbf 5 lbf/in 3. The cantilever shown in the figure consists of two...
60 in 150 lbf 5 lbf/in 3. The cantilever shown in the figure consists of two structural-steel channels with a weight of 0.833 lbf/in. Both distributed load of 5 lbf/in and a point load of 150 lbf are applied to the beam as shown above. Using Castigliano's theorem find the deflection at A and compare to the deflection calculated using the superposition method. Include weight of the channels. (l3.70 in4) R A simply supported beam has a concentrated moment MA...
7. For the cantilever beam shown in the figure consisting of two structural steel channels size...
7. For the cantilever beam shown in the figure consisting of two structural steel channels size C3 X6. Using superposition, find the deflection at A. Include the weight of the channels. 60 in 150 lbf 5 lbf/in Problem 7
Question 3: A steel (E 30x106 psi and v 0.3) cantilever l-beam is subjected to a...
Question 3: A steel (E 30x106 psi and v 0.3) cantilever l-beam is subjected to a distributed load and a concentrated load. The I section is 4-inch-wide and 5-inch-tall, and the flange and web plates are all 0.5-inch-thick, as marked in the figure. a) Draw the moment diagram as a function of x and clearly label the moment values at 1, 2, and 4 ft. (10) b) Find the maximum tensile (normal) stress in the entire beam. (5) c) Find...
A simply supported beam loaded by two forces is shown in the figure. Select a pair...
A simply supported beam loaded by two forces is shown in the figure. Select a pair of structural steel channels mounted back to back to support the loads in such a way that the deflection at midspan will not exceed 1/2 in and the maximum stress will not exceed 15 kpsi. Use superposition. In the figure, F1 = 450 lbf and F2 = 300 lbf. Use Table A-7 to select the smallest Imperial units channel that meets the requirements, where...
Two similar beams are delivered to a construction site. Each beam is a hollow box beam,...
Two similar beams are delivered to a construction site. Each beam is a hollow box beam, constructed of A36 structural steel, (E=29.0 x 106 psi, density of 490 lbm/ft?), each beam having outside dimensions of 16" base and 18" height, 18 feet long. Beam A has top and bottom wall thicknesses of 0.5" and side wall thickness of 0.375". Beam B has top and bottom wall thicknesses of 0.4375" and side wall thickness of 0.3125". The structure to be constructed...
Question 2 Parta: A cantilever AB of length 800mm is made of steel and has a...
Question 2 Parta: A cantilever AB of length 800mm is made of steel and has a square cross section with sides of length c. The cantilever is fixed at B and carries a concentrated load of 5kN at A. Calculate the minimum length of side (c) necessary to limit the maximum deflection to 10mm. [E = 200GN/m²]. Determine also the slope in degrees at A. [6] Fig 2a N.B. The weight of the beam to be neglected. Fig 2b1 Part...
A cantilever beam AB with a circular cross section and length L = 750 mm supports...
A cantilever beam AB with a circular cross section and length L = 750 mm supports a load P = 800 N acting at the free end (see figure). The beam is made of steel with an allowable bending stress of l20 MPa. Determine the required diameter d_min (figure part a) of the beam, considering the effect of the beam's own weight. Repeat part (a) if the beam is hollow with wall thickness t = d/8 (figure part b); compare...
Рkip W kip/ft Problem No. 6 (30 points) The cantilever beam of length L and constant...
Рkip W kip/ft Problem No. 6 (30 points) The cantilever beam of length L and constant modulus of rigidity El is supported at B and subjected to uniformly distributed load w (kip/ft) throughout and a concentrated load P (kip) at A. (a) Using the method of integration, determine deflection at A (as fraction; do not use decimal). (b) Determine the rotation at A (as fraction; do not use decimal) (c) List two major assumptions used in solving this problem. El...
Check the adequacy of a W18X35 for a beam (the beam in the vertical direction in...
Check the adequacy of a W18X35 for a beam (the beam in the vertical direction in the plan) in a floor framing system in terms of 1) bending strength; 2) shear strength and 3) deflection. The beams support a 4-inch-thick reinforced concreted floor slab (with a density of 150 lbs/ft?). Besides the weight of the structure, loads consist of a uniform live load of 80 psf and moveable partitions (with a uniformly distributed load of 20 psf of floor surface)....
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q...
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q (see figure) has a fixed support at A and spring support at B with rotational stiffness kR. Rotation at B, OB results in a reaction moment MB*Rx θ8. Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), find rotation GB and di the end B. (Hint- You will need third boundary condition so read the problem statement carefully) (20 points)...
60 in 150 lbf 5 lbf/in 3. The cantilever shown in the figure consists of two structural-steel channels with a weight of 0.833 lbf/in. Both distributed load of 5 lbf/in and a point load of 150 lbf are applied to the beam as shown above. Using Castigliano's theorem find the deflection at A and compare to the deflection calculated using the superposition method. Include weight of the channels. (l3.70 in4) R A simply supported beam has a concentrated moment MA...
7. For the cantilever beam shown in the figure consisting of two structural steel channels size C3 X6. Using superposition, find the deflection at A. Include the weight of the channels. 60 in 150 lbf 5 lbf/in Problem 7
Question 3: A steel (E 30x106 psi and v 0.3) cantilever l-beam is subjected to a distributed load and a concentrated load. The I section is 4-inch-wide and 5-inch-tall, and the flange and web plates are all 0.5-inch-thick, as marked in the figure. a) Draw the moment diagram as a function of x and clearly label the moment values at 1, 2, and 4 ft. (10) b) Find the maximum tensile (normal) stress in the entire beam. (5) c) Find...
A simply supported beam loaded by two forces is shown in the figure. Select a pair of structural steel channels mounted back to back to support the loads in such a way that the deflection at midspan will not exceed 1/2 in and the maximum stress will not exceed 15 kpsi. Use superposition. In the figure, F1 = 450 lbf and F2 = 300 lbf. Use Table A-7 to select the smallest Imperial units channel that meets the requirements, where...
Two similar beams are delivered to a construction site. Each beam is a hollow box beam, constructed of A36 structural steel, (E=29.0 x 106 psi, density of 490 lbm/ft?), each beam having outside dimensions of 16" base and 18" height, 18 feet long. Beam A has top and bottom wall thicknesses of 0.5" and side wall thickness of 0.375". Beam B has top and bottom wall thicknesses of 0.4375" and side wall thickness of 0.3125". The structure to be constructed...
Question 2 Parta: A cantilever AB of length 800mm is made of steel and has a square cross section with sides of length c. The cantilever is fixed at B and carries a concentrated load of 5kN at A. Calculate the minimum length of side (c) necessary to limit the maximum deflection to 10mm. [E = 200GN/m²]. Determine also the slope in degrees at A. [6] Fig 2a N.B. The weight of the beam to be neglected. Fig 2b1 Part...
A cantilever beam AB with a circular cross section and length L = 750 mm supports a load P = 800 N acting at the free end (see figure). The beam is made of steel with an allowable bending stress of l20 MPa. Determine the required diameter d_min (figure part a) of the beam, considering the effect of the beam's own weight. Repeat part (a) if the beam is hollow with wall thickness t = d/8 (figure part b); compare...
Рkip W kip/ft Problem No. 6 (30 points) The cantilever beam of length L and constant modulus of rigidity El is supported at B and subjected to uniformly distributed load w (kip/ft) throughout and a concentrated load P (kip) at A. (a) Using the method of integration, determine deflection at A (as fraction; do not use decimal). (b) Determine the rotation at A (as fraction; do not use decimal) (c) List two major assumptions used in solving this problem. El...
Check the adequacy of a W18X35 for a beam (the beam in the vertical direction in the plan) in a floor framing system in terms of 1) bending strength; 2) shear strength and 3) deflection. The beams support a 4-inch-thick reinforced concreted floor slab (with a density of 150 lbs/ft?). Besides the weight of the structure, loads consist of a uniform live load of 80 psf and moveable partitions (with a uniformly distributed load of 20 psf of floor surface)....
Problem 5: A cantilever beam AB of length L supports a uniform load of intensity q (see figure) has a fixed support at A and spring support at B with rotational stiffness kR. Rotation at B, OB results in a reaction moment MB*Rx θ8. Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), find rotation GB and di the end B. (Hint- You will need third boundary condition so read the problem statement carefully) (20 points)...
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