Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Chapter 2, Problem 7P
To determine
Find the dead load acting on the beam BF and girder AD.
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PROBLEMS
1002. A timber beam is reinforced with steel plates rigidly
attached at the top and bottom as shown in Fig. P-1002. By what
amount is the moment increased by the reinforcement if n = 15 and the
allowable stresses in the wood and steel are 8 MPa and 120 MPa,
respectively?
Ans. 52.2 kN-m
150
ma
w
10 mm
150
mm
250 mm
300 mm
10 mm
The floor system of a gymnasium consists of a 130- mm-thick concrete slab resting on four steel beams (A = 9,100 mm2) that, in turn, are supported by two steel girders (A = 25,600 mm2), as shown in Fig. P2.7. Determine the dead loads acting on beam BF and girder AD.
The roof of a single-story storage building, shown in Fig. P2.1, is subjected to a uniformly distributed load of 0.96 kPa over its surface area. Determine the loads acting on the floor beam BE and the girder AC of the framing system
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- Given. A two-story OCBF shown in Fig. 3.40c that forms part of the building frame system in SDC E. The axial loads on the ground floor brace B1 are as follows: Dead load D= 30 kips Live load L= 15 kips Seismic force QE = ±80 kips Snow load S= 0 kips Hydrostatic load H = 0 The redundancy coefficient p = 1.1. Mapped two-second såpectral acceleration, Sps = 0.826 g. Required. Determine a pipe section for brace B1, ASTM A53 Grade B steel; F, = 35 ksi, F = 60 ksi 16 ft 16 ft Figure -15 ft B2 B1 -- -15 ft B2 B1 Ordinary concentric brace frame (OCBF) example.arrow_forwardThe floor of an apartment building, shown in Fig. P2.3, is subjected to a uniformly distributed load of 45 psf over its surface area. Determine the loads acting on the floor beams AF, BG, and CH, and the girders AC and FH, of the framing system.arrow_forwarda- Calculate the ultimate shear force at point A of the continuous beam shown in Fig.3? 10% b-Calculate the number of bars of the compression reinforcement (As') in the doubly reinforced shown in Fig.2. Assume: Mu=480 kN.m, M2 = 300 kN.m, fy =400 N/mm², fe'- 25 N/mm², bar diameter 25 mm. 25% 03 (35%) S d-500 As. b-300 Id=64 As'arrow_forward
- A beam having a span of 4m is subjected to a maximum shear of 20 kN. It has a triangular cross - section having a base width of 140 mm and an altitude of 300 mm. Which of the following gives the maximum shearing stress developed on the beam? a. 1.43 MPa b. 1.80 MPa c. 1.62 MPa d. 1.78 MPaarrow_forwardEXAMPLE 6-16 The beam shown in Fig. 6-29a has a cross-sectional area in the shape of a channel, Fig. 6-29b. Determine the maximum bending stress that occurs in the beam at section a-a. 2.6 kN 13/12 2 m (a) 1 m. y=59.09 mm N 15 mm- -250 mm- C 20 mm AT 200 mm -15 mmarrow_forwardTwo simply supported beams B, and Bz have spans l and 21 respectively. Beam B, has a cross-section of Ix1 units and beam b2 has a cross-section of 2 x 2 units. These beams are subjected to concentrated loads w each at the centre of their spans. The ratio of the maximum flexural stress in these beams is A. 4 B. 2 1 2 D. 4 C.arrow_forward
- A cast iron beam is of T-section as shown in Fig. 7.21. The beam is şimply supported on a span of 8 m. The beam carries a uniformly distributed load of 1.5 kN/m length on the entire span. Determine the maximum tensile and maximum compressive stresses. 100 mm 20 mm 32.23 Fmm 80 mm 100 mm 67.77 mm 20 mm- Fig. 7.21arrow_forwardA box beam, built up as shown in Fig.. , is secured by screws spaced 5 in. apart. The beam supports a concentrated load P at the third point of a simply supported span 12 ft long. Determine the maximum value of P that will not exceed fy = 120 psi in the beam or a shearing force of 300 lb in the screws. What is the maximum flexural stress in the beam? 8 in 6 in 8 in 10 inarrow_forwardA 5-m long simply supported timber beam carries two concentrated loads, as shown in Figure P of the beam are shown in Figure F (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the 5-m span length. (d) Determine the maximum compression bending stress that occurs in the beam at any location within the 5-m span length. 2m 14 kN 1² 2 m 42 kN 0.5 m -x a' en Im 150 mm 100 mm H K 150 mm 450 mm The cross-sectional dimensionsarrow_forward
- 2. A beam with an inverted U section is loaded as shown. What is the max flexural stress developed and the max beam shear developed in the beam? 30mm 30mm 2m 6m 2m 200m 250mm 40mmarrow_forwardA channel-shaped beam with an overhanging end is loaded as shown in Fig. 7-46. The material is gray cast iron having an allowable working stress of 30 MPa in tension and 120 MPa in compression. Determine the maximum allowable value of P. Also compute the shearing stress developed in the beam loaded with P computed. P 2 cт 20 ст 2P cm 2 cm 12 cm 2 m 2 m- 1 m Fig. 7-46arrow_forwardA timber beam is 15 cm deep by 10 cm wide, and carries a central load of 30 kN at the centre of a 3 m span; the beam is simply-supported at each end. The timber is reinforced with flat steel plates 10 cm wide by 1.25 cm thick bolted to the upper and lower surfaces of the beam. Taking E for steel as 200 GN/m2 and E for timber as 1 GN/m2, estimate 1. the maximum direct stress in the steel strips; - Answered (120 MN/m2.)2. the average shearing stress in the timber; - Answered (1.00 MN/m2) 3. the shearing load transmitted by the bolts; - Answered (100 kn/m)4. the bending and shearing deflections at the centre of the beam. - Answered (0.75cm) Answers must be 100kn/m for no.3 and 0.75 cm for no.4. Please show solutions to get 100 kn/m and 0.75 cm.arrow_forward
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