Homework Answers
4) AW 10 x 30 is subjected to a uniform load of 3 k/ft. It is...
4) AW 10 x 30 is subjected to a uniform load of 3 k/ft. It is 12 feet long and simply supported. a. Consider a 1 foot long section between 3 and 4 feet from the support. Draw a free body diagram with the moments, the shear forces and the uniform load. Show the section is in equilibrium. b. Using stress wedges, find the shear stress at the neutral axis. c. Using vQ/It, find the shear stress at 3 feet...
1) Over a one foot long section, a W 16 x 77 is subjected to moments:...
1) Over a one foot long section, a W 16 x 77 is subjected to moments: Mleft = 225 k-ft and MRIGHT = 300 k-ft. Both moments are positive. a. Calculate the shear force on each side. Show direction and indicate if the shear force is positive or negative. b. Using the stress wedge, find the shear FORCE between the top flange and the web. Treat the top flange as a rectangle and ignore any fillets. C. Recalculate using the...
Q3) A simply supported beam is subjected to a uniform service dead load of 2.3 kips/ft...
Q3) A simply supported beam is subjected to a uniform service dead load of 2.3 kips/ft (excluding the weight of the beam), a uniform service live load of 3.0 kips/ft. The beam is 30 feet long, and deflection not to exceed L/360. The beam has continuous lateral support, and A992 steel is used. Is a W27 x 84 adequate?
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft...
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"
The simply supported truss is subjected to the central distributed load
The simply supported truss is subjected to the central distributed load. Neglect the effect of the diagonal lacing and determine the absolute maximum bending stress in the truss The top member is a pipe having an outer diameter of 1 in. and thickness of 3/16 in., and the bottom member is a solid rod having a diameter of 1/2 in.a) Draw the shear and bending moment diagrams for the truss. Identify the maximum shear force and bending moment. b) What is...
A prismatic beam with span L = 3 ft is simply supported at points A and...
A prismatic beam with span L = 3 ft is simply supported at
points A and B. The beam is supporting a uniform load with q = 160
lb/in . The cross-section of the beam is a solid rectangle with
width b = 1 in and height h = 4 in .
Determine:
a. The normal stress (σ C ) and shear stress (τ C ) at point C
located 8 inches left of support B and 1 in. below...
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in...
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in the negative y-direction and a point load, P of 15 kN in the negative z-direction. The total length, L of the beam is 6 m. Answer the questions that follow: 'n Eenvoudige opgelegde balk word belas met 'n uniform verspreide belasting van w 30 kN/m in die negatiewe y-rigting en 'n puntlas P = 15 kN in die negatiewe z-rigting. Die totale lengte, L...
4. (25 pt.) The beam subjected to a uniform distributed load as shown in Figure 4(a)...
4. (25 pt.) The beam subjected to a uniform distributed load as shown in Figure 4(a) has a triangular cross-section as shown in Figure 4(b). 1) (6 pt.) Determine mathematical descriptions of the shear force function V(x) and the moment function M(x). 2) (6 pt.) Draw the shear and moment diagrams for the beam. 3) (5 pt.) What is the maximum internal moment Mmar in the beam? Where on the beam does it occur? 4) (8 pt.) Determine the absolute...
The beam is simply supported. Problem 3. (30 points) A wooden beam is composed of a...
The beam is simply supported.
Problem 3. (30 points) A wooden beam is composed of a 2 x8" (1.5"x7.25") top flange and a 3"x10 (2.5"x9.25") web to form a T section. Assume that the two members are glued together. L-16 ft. (a) For a uniform dead load of 20 lb/ft over the entire beam span and a uniform live load of 80 lb/ft over the left half of the span, draw the shear and moment diagrams. (b) Determine the cross-sectional...
Below is a diagram of a beam that is simply supported and subjected to a point load over a 9.8 in...
Below is a diagram of a beam that is simply supported and
subjected to a point load over a 9.8 in. plate. The member has 6.14
sq.-in. of flexural tension steel. You can use d = 25.7 in., bw =
bv = 3.54 in., f’c = 12.2 ksi, fy = 87 ksi, Av = 0.157 sq.-in. at a
spacing s = 6.50 in., finally, the maximum course aggregate used in
the beams was 0.50 in. There is no axial load...
4) AW 10 x 30 is subjected to a uniform load of 3 k/ft. It is 12 feet long and simply supported. a. Consider a 1 foot long section between 3 and 4 feet from the support. Draw a free body diagram with the moments, the shear forces and the uniform load. Show the section is in equilibrium. b. Using stress wedges, find the shear stress at the neutral axis. c. Using vQ/It, find the shear stress at 3 feet...
1) Over a one foot long section, a W 16 x 77 is subjected to moments: Mleft = 225 k-ft and MRIGHT = 300 k-ft. Both moments are positive. a. Calculate the shear force on each side. Show direction and indicate if the shear force is positive or negative. b. Using the stress wedge, find the shear FORCE between the top flange and the web. Treat the top flange as a rectangle and ignore any fillets. C. Recalculate using the...
Q3) A simply supported beam is subjected to a uniform service dead load of 2.3 kips/ft (excluding the weight of the beam), a uniform service live load of 3.0 kips/ft. The beam is 30 feet long, and deflection not to exceed L/360. The beam has continuous lateral support, and A992 steel is used. Is a W27 x 84 adequate?
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"
A prismatic beam with span L = 3 ft is simply supported at
points A and B. The beam is supporting a uniform load with q = 160
lb/in . The cross-section of the beam is a solid rectangle with
width b = 1 in and height h = 4 in .
Determine:
a. The normal stress (σ C ) and shear stress (τ C ) at point C
located 8 inches left of support B and 1 in. below...
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in the negative y-direction and a point load, P of 15 kN in the negative z-direction. The total length, L of the beam is 6 m. Answer the questions that follow: 'n Eenvoudige opgelegde balk word belas met 'n uniform verspreide belasting van w 30 kN/m in die negatiewe y-rigting en 'n puntlas P = 15 kN in die negatiewe z-rigting. Die totale lengte, L...
4. (25 pt.) The beam subjected to a uniform distributed load as shown in Figure 4(a) has a triangular cross-section as shown in Figure 4(b). 1) (6 pt.) Determine mathematical descriptions of the shear force function V(x) and the moment function M(x). 2) (6 pt.) Draw the shear and moment diagrams for the beam. 3) (5 pt.) What is the maximum internal moment Mmar in the beam? Where on the beam does it occur? 4) (8 pt.) Determine the absolute...
The beam is simply supported.
Problem 3. (30 points) A wooden beam is composed of a 2 x8" (1.5"x7.25") top flange and a 3"x10 (2.5"x9.25") web to form a T section. Assume that the two members are glued together. L-16 ft. (a) For a uniform dead load of 20 lb/ft over the entire beam span and a uniform live load of 80 lb/ft over the left half of the span, draw the shear and moment diagrams. (b) Determine the cross-sectional...
Below is a diagram of a beam that is simply supported and
subjected to a point load over a 9.8 in. plate. The member has 6.14
sq.-in. of flexural tension steel. You can use d = 25.7 in., bw =
bv = 3.54 in., f’c = 12.2 ksi, fy = 87 ksi, Av = 0.157 sq.-in. at a
spacing s = 6.50 in., finally, the maximum course aggregate used in
the beams was 0.50 in. There is no axial load...
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