A 100 mm x 200 mm wooden beam with a clear span of 7.2 m is embedded firmly en one end and is simply supported on the other end as shown in the figure. If the allowable stresses are respectively 13.8 MPa and 1.11 MPa for bending and shear, ODetermine the safe maximum uniform load the beam can carry. Yeight of wood is 9.9 kN/m3 Find the reaction at B. Find the max, moment of the beam.
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- 2 A simply supported beam has a dimension of 300mmw x 600mmh has a span of 6m. it has a superimposed load of 30KN/m and live load of 50KN. It has a specified concrete strength of 28MPa and yield strength of 420MPa. Distance of centroid steel area to outermost fiber is 60mm. a. What is the maximum moment of the beam? b. What is the required tension steel area? Use et = 0.00404. Analyze completely the compound truss loaded as shwon below. D 24 kN 3 m E 2 m F 3 @ 4 m 12 PROBLEM 4 TABLE OF ANSWERS: МЕМBER NUMBER FORCE (k) AB 1 CD 2 EF 3 BC CF 5 BF 6 DE 7 AD 8 AE 9 4.Calculate the maximum tensile and compressive stresses in the section of BC of the beam. BLO Nara 0.5 in LOO KN 1.5 m ( 1.00 KN C 0.5 m D 200 inn 100 mm 25 mm 150 mm t T 25 mm
- S f A structure is to be built as shown supporting a uniform load of 18 kN/m. The location for the supports at A and B has been determined. The connection at C may be placed anywhere along the member AD 18 kN/m A C D 3 m B L -7 mi -5 m- If the allowable bending stress for member AD is 8 MPa, which among the choices gives the most economic section? Select the correct response: 275 mm x 550 mm 250 mm x 500 mm 300mm x 600 mm 225 mm x 450 mm rigidWhere is/are the location(s) of the maximum compressive flexural stress? A simple I-beam is loaded as shown. 20 mm P KN PKN P KN B 20 mm- B с D L/4 m L/4 m L/4 m Pin support at the NA Midspan at point B Mid span at point D Midspan at the top fiber Roller support at top fiber Section D at the top fiber Section C at +170 mm from the NA L/4 m 20 mm C 250 mm 150 mm 150 mm D AA flitch beam can be fabricated by sandwiching two steel plates (2) between three wood boards (1). Dimensions for the cross section are b- 1.1 in., d- 6.0 in., and t- 0.50 in. The elastic moduli of the wood and steel are E, - 2200 ksi and Ez - 28000 ksi, respectively. For a bending moment of M; - +14.5 kip-ft, determine: (a) the normal stress in each material at point H, which is located at a distance of a - 1.4 in. above the z centroidal axis. (b) the normal strain in each material at point H. (c) the magnitudes of the maximum bending stress in each material. (1) (1) b Answer: (a) Owood(H) psi Osteel(H) i psi (b) Ewood(H) - i με Esteel(H) - i (c) Owood(max) i psi Osteel(max) psi
- A 380mmx520mm beam is reinforced with 5 diameter 28mm steel bars (one layer). Strength of concrete is 30MPa and steel yield strength is 400MPa. Take the steel cover to be 60mm. Determine the balanced moment, kN-m Determine the maximum moment if strain in steel is 0.005 Determine the design strength of the beam, kN-mThe laminated beam, shown in cross section, is composed of ?ve 6- in. by 2-in. planks that are glued together. The beam carries a uniformly distributed load of intensity wa over its 8-ft simply supported span. If the working stresses are 75 psi for shear in glue, 90 psi for shear in wood, and 800 psi for bending in wood, F 6 in. 1. determine the maximum allowable value of we so that the shear stress in the wood is not exceeded. A. 900 lb/ft c. 833 lb/ft determine the maximum allowable value of we so that the shear stress in the glue is not exceeded. A. 900 lb/ft c. 833 lb/ft B. 555 1b/ft D. NOTA 2. B. 555 lb/ft D. NOTA determine the maximum allowable value of we so that the bending stress in the wood is not exceeded. A. 900 lb/ft c. 833 lb/ft 3. B. 555 lb/ft D. NOTA O 1A O 18 O 10 O 1D O 2A 28 O 20 O 2D O 3A O 3B O 30 O 3D + 5 @ 2 in. = 10 in. -Question 5 of 10 View Policies Current Attempt in Progress Answers: The cantilevered W530 x 150 beam shown is subjected to a 8.5-kN force F applied by means of a welded plate at A. Determine the equivalent force-couple system at the centroid of the beam cross-section at the cantilever O. F= Mo= ( i < i -2.8 m- eTextbook and Media 0.68 m i+ i k kN.m -/2 = : j) kN
- Light-grade steel channel was used as a purlin of a truss. The top chord of the truss is inclined I V: 4 H and distance between trusses is equal to 6 m. The purlin has a weight of 79 N/m and spaced at 1.2 m. on centers. The dead load including the roof materials is 720 Pa, live load of 1000 Pa and wind load of 1.2 1.2 1440 Pa. Coefficient of Purlins pressure at leeward and windward are 0.6 and 0.2 respectively. Assume all loads passes through the centroid of the section. Truss Properties of C 200 x 76 mm Sx = 6.19 x 104 mm Sy = 1.38 x 104 mm W = 79 N/m 12 12 1.2 I Allowable bending stress Fbx= Fby = 207 MPa Truss %3D 6m O Calculate the bending stress, fox, for dead load and live load combination (D+ L). Calculate the bending stress, foy, for dead load and live load combination (D + L). O Calculate the maximum ratio of actual to the allowable bending stress for load combination 0.75 (D + L + W) at the windward side. fbx = 151.14 MPa fby = 169.6 MPa Interaction = 1.25Light-grade steel channel was used as a purlin of a truss. The top chord of the truss is inclined I V : 4 H and distance between trusses is equal to 6 m. The purlin has a weight of 79 N/m and spaced at 1.2 m. on centers. The dead load including the roof materials is 720 Pa, live load of 1000 Pa and wind load of 1.2 1.2 1440 Pa. Coefficient of Purlins pressure at leeward and windward are 0.6 and 0.2 respectively. Assume all loads passes through the centroid of the section. Properties of C 200 x 76 mm Sx = 6.19 x 104 mm Sy = 1.38 x 104 mm3 W = 79 N/m 1.2 Truss 1.2 12 12 1.2 Allowable bending stress Fbr = Fby = 207 MPa Truss %3D 6m O Calculate the bending stress, fox, for dead load and live load combination (D + L). Calculate the bending stress, foy, for dead load and live load combination (D + L). O Calculate the maximum ratio of actual to the allowable bending stress for load combination 0.75 (D + L + W) at the windward side. fbx = 151.14 MPa fby = 169.6 MPa Interaction = 1.25A W 12 x 50 steel wide-flange beam and a segment of a 4-inch thick concrete slab (see figure) jointly resist a positive bending moment of 86 kip-ft. - 30 in.- 4 in. of W 12 × 50 The beam and slab are joined by shear connectors that are welded to the steel beam. (These connectors resist the horizontal shear at the contact surface.) The moduli of elasticity of the steel and the concrete are in the ratio 12 to 1. Determine the maximum stresses o, and o, in the steel and concrete, respectively. Note: See this table for the dimensions and properties of the steel beam. (Assume that the component parts of the beams are securely bonded by adhesives or connected by fasteners. Also be sure to use the transformed-section method in the solutions. Enter the magnitudes in psi.) . - 735 X psi O. = 12130.314 X psi Properties of Wide-Flange Sections (W Shapes)-USCS Units (Abridged List) Weight Flange Axis 1-1 Axis 2-2 per Web Designation Foot Area Depth Thickness Width Thickness in. Ib in? in. in. in.…