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2. The beam shown in the figure below is a wide-flange W16x31 with a cross-sectional area...
Problem 3 (23%) The following beam is discretize into 2 elements. E-29x106 psi, I-375 in and A (b...
Problem 3 (23%) The following beam is discretize into 2 elements. E-29x106 psi, I-375 in and A (beam cross sectional area) -9.12 in2 1. 2. 3. 4. Calculate the stiffness matrix of each of the 2 elements Calculate the global stiffness matrix of the beam Calculate the force matrix Calculate the deflection at node 3 and slopes at node 2 and 3 1.000 lb/ft 10 ft .5 ft+-2.5 ft 500 lb
Problem 3 (23%) The following beam is discretize into...
A wide flange steel beam with a designation of W 12 x 16 has the following...
A wide flange steel beam with a designation of W 12 x 16 has the
following geometric properties.
Determine the longest span, in ft, that this beam can safely
support a 1000 lb load at mid-span. Ignore the weight of the
beam.
Area Web thickness Flange thickness Section modulus A = 4.71 in toy = 0.22 in tr=0.265 in S= 17.1 in Depth Flange width Moment of inertia weight per foot d=12.00 in bp= 3.99 in I = 103 in...
Let us consider the cantilevered balcony beam of Example 4.3 again and solve it using a...
Let us consider the cantilevered balcony beam of Example 4.3 again and solve it using a single beam element. Recall that the beam is a wide-flange W1S X 35, with a crosssectional area of 10.3 in2 and a depth of 17.7 in. The second moment of area is 510 in 4. The beam is subjected to a uniformly distributed load of 1000 lb/ft. The modulus of 208 Chapter 4 Axial Members, Beams, and Frames elasticity of the beam E =...
The cantilever beam shown is subjected to a concentrated load of P = 34500 lb. The...
The cantilever beam shown is subjected to a concentrated load of P = 34500 lb. The cross-sectional dimensions and the moment of inertia of the W16x31 wide-flange shape are: d = 15.9 in. tw = 0.275 in. be= 5.53 in. tp = 0.440 in. 12 = 375 in 4 Compute the value of the shear stress at point K, located at yk = 2.4 in. above the centroidal axis. bi 11 y 1 K Ук | Ун H Answer: Shear...
The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to...
The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to the handbook value of x - 654 in.4 by treating the section as being composed of three rectangles -..x 16.25" 0.380 7.073" 0.628" Answer: 'x - in.
Select a suitable wide flange section to support the beam loads shown in the figure below....
Select a suitable wide flange section to support the beam loads shown in the figure below. Use ASTM A992 steel and allowable stresses of 0.66 Sy for bending and 0.40 Sy for shear. Be sure to generate a list of candidate beams from which, you will choose the lightest. Determine the factor of safety in bending for the beam you select. Find the deflection at the end of the overhang using the beam you selected. What is the total weight...
2. The frame shown consists of a very stiff steel beam with a wide-flange beam (W33 X 200), welde...
2. The frame shown consists of a very stiff steel beam with a wide-flange beam (W33 X 200), welded rigidly to two vertical channels (C8 X11.5). Assume that the mass of the channels is small compared to the mass of the beam. The area moment of inertia of each channel about its centroidal bending axis is 1.3 in. An eccentric exciter weighting 50 lb is attached to the beam, which weighs 2,000 lb, and is used to excite the frame....
Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use...
Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built- up beam. A built up beam can be constructed by fastening flat plates together. When an l-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a 3 kN/m uniformally distributed load. The beam has modulus of elasticity of E-200 GPa) and area moment of inertia equals to (/ 12.5 x 10 mm).Answer [Question 33-Question 361 3 kN/m 4 m Figure (18) The support reaction at point A in the y-direction (RAJ: (CLO6) (1 Point) 6.3 kN 48 kN 2 kN 6 kN
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E...
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E = 200 GPa; 1 = 225 x 100 mm"]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the...
Problem 3 (23%) The following beam is discretize into 2 elements. E-29x106 psi, I-375 in and A (beam cross sectional area) -9.12 in2 1. 2. 3. 4. Calculate the stiffness matrix of each of the 2 elements Calculate the global stiffness matrix of the beam Calculate the force matrix Calculate the deflection at node 3 and slopes at node 2 and 3 1.000 lb/ft 10 ft .5 ft+-2.5 ft 500 lb
Problem 3 (23%) The following beam is discretize into...
A wide flange steel beam with a designation of W 12 x 16 has the
following geometric properties.
Determine the longest span, in ft, that this beam can safely
support a 1000 lb load at mid-span. Ignore the weight of the
beam.
Area Web thickness Flange thickness Section modulus A = 4.71 in toy = 0.22 in tr=0.265 in S= 17.1 in Depth Flange width Moment of inertia weight per foot d=12.00 in bp= 3.99 in I = 103 in...
Let us consider the cantilevered balcony beam of Example 4.3 again and solve it using a single beam element. Recall that the beam is a wide-flange W1S X 35, with a crosssectional area of 10.3 in2 and a depth of 17.7 in. The second moment of area is 510 in 4. The beam is subjected to a uniformly distributed load of 1000 lb/ft. The modulus of 208 Chapter 4 Axial Members, Beams, and Frames elasticity of the beam E =...
The cantilever beam shown is subjected to a concentrated load of P = 34500 lb. The cross-sectional dimensions and the moment of inertia of the W16x31 wide-flange shape are: d = 15.9 in. tw = 0.275 in. be= 5.53 in. tp = 0.440 in. 12 = 375 in 4 Compute the value of the shear stress at point K, located at yk = 2.4 in. above the centroidal axis. bi 11 y 1 K Ук | Ун H Answer: Shear...
The cross-sectional area of a wide-flange I-beam has the dimensions shown. Obtain a close approximation to the handbook value of x - 654 in.4 by treating the section as being composed of three rectangles -..x 16.25" 0.380 7.073" 0.628" Answer: 'x - in.
Select a suitable wide flange section to support the beam loads shown in the figure below. Use ASTM A992 steel and allowable stresses of 0.66 Sy for bending and 0.40 Sy for shear. Be sure to generate a list of candidate beams from which, you will choose the lightest. Determine the factor of safety in bending for the beam you select. Find the deflection at the end of the overhang using the beam you selected. What is the total weight...
2. The frame shown consists of a very stiff steel beam with a wide-flange beam (W33 X 200), welded rigidly to two vertical channels (C8 X11.5). Assume that the mass of the channels is small compared to the mass of the beam. The area moment of inertia of each channel about its centroidal bending axis is 1.3 in. An eccentric exciter weighting 50 lb is attached to the beam, which weighs 2,000 lb, and is used to excite the frame....
Learning Goal: To calculate the shear stress at the web/flange joint in a beam and use that stress to calculate the required nail spacing to make a built- up beam. A built up beam can be constructed by fastening flat plates together. When an l-beam is subjected to a shear load, internal shear stress is developed at every cross section, with longitudinal shear stress balancing transverse shear stress. If the beam is built up using plates, the fasteners used must...
QUESTION 33 The simply supported beam shown in the figure (18) below is subjected to a 3 kN/m uniformally distributed load. The beam has modulus of elasticity of E-200 GPa) and area moment of inertia equals to (/ 12.5 x 10 mm).Answer [Question 33-Question 361 3 kN/m 4 m Figure (18) The support reaction at point A in the y-direction (RAJ: (CLO6) (1 Point) 6.3 kN 48 kN 2 kN 6 kN
The beam shown in the figure consists of a W360 79 structural steel wide-flange shape [E = 200 GPa; 1 = 225 x 100 mm"]. For the loading shown, determine: (a) the reactions at A, B, and C. Enter a positive value for a reaction force that acts upward on the beam, or a negative value for a reaction force that acts downward. (b) the magnitude of the maximum bending stress in the beam. Enter a positive value for the...
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