A composite beam consists of concrete slab (1) that is rigidly attached to the top flange of a W16 × 40 standard steel shape (2). The cross section of this composite beam is shown in Figure below. Concrete slab (1) has a width of b = 48 in., a thickness of t = 4 in., and an elastic modulus of 3,500 ksi. The elastic modulus of the steel shape is 30,000 ksi, and the cross-sectional dimensions are presented below figure. For a bending moment of Mz = +150 kip·ft and , determine: (a) the location of the centroid for the transformed section, measured upward from point K. (b) the normal stress at H in the concrete slab. (c) the normal stress at K in the steel shape.
A composite beam consists of concrete slab (1) that is rigidly attached to the top flange of a W16 × 40 standard steel shape (2). The cross section of this composite beam is shown in Figure below. Concrete slab (1) has a width of b = 48 in., a thickness of t = 4 in., and an elastic modulus of 3,500 ksi. The elastic modulus of the steel shape is 30,000 ksi, and the cross-sectional dimensions are presented below figure. For a bending moment of Mz = +150 kip·ft and , determine: (a) the location of the centroid for the transformed section, measured upward from point K. (b) the normal stress at H in the concrete slab. (c) the normal stress at K in the steel shape.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A composite beam consists of concrete slab (1) that is rigidly attached to the top flange of a W16 × 40
standard steel shape (2). The cross section of this composite beam is shown in Figure below. Concrete
slab (1) has a width of b = 48 in., a thickness of t = 4 in., and an elastic modulus of 3,500 ksi. The elastic
modulus of the steel shape is 30,000 ksi, and the cross-sectional dimensions are presented below figure.
For a bending moment of Mz = +150 kip·ft and , determine:
(a) the location of the centroid for the transformed section, measured upward from point K.
(b) the normal stress at H in the concrete slab.
(c) the normal stress at K in the steel shape.
![Concrete slab (1)
d
Steel shape (2)
K
Dimensions and properties of W16x40 (d= 16 in, A = 11.8 in?, I, = 518 in*)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42c35f0d-5cbc-4e78-be21-fc819030d9dc%2F25038387-add1-4ac0-b188-4d13e291cea5%2F1miaykr_processed.png&w=3840&q=75)
Transcribed Image Text:Concrete slab (1)
d
Steel shape (2)
K
Dimensions and properties of W16x40 (d= 16 in, A = 11.8 in?, I, = 518 in*)
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