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The structural steel built-up member (b) of Problem 14.2 is to be used as a simply supported beam on a span of
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Chapter 14 Solutions
Applied Statics and Strength of Materials (6th Edition)
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- An overhanging beam is loaded as indicated. In order to accommodate communication cables to be installed later the beam is manufactured with two circular channels running through its length. The beam has a weight of q = 300 N/m. Calculate (a) the value and position of the maximum bending moment and sketch the relevant bending moment and shear force diagrams, (b) the position of the neutral axis, and (c) the maximum compressive and tension stress in the beam due to the bending. 2m 3 KN 3m B Bm 1 KN 100 mm 100 mm 20 mm H 30 mmarrow_forwardA timber beam is 120 mm wide and 200 mm deep and is used on a span of 4 metres. The simply supported beam carries a uniformly distributed load of 2.8 kN/m run over the entire length. Calculate the maximum bending stress induced.arrow_forwardA simply supported beam of hollow rectangular cross section is 100mm deep and 60mm wide with a wall thickness of 10mm. The beam has a span of 6m and carries a load as shown . Neglecting the weight of the beam draw a bending moment diagram and calculate the maximum bending moment. And determine the maximum bending stress in the material.arrow_forward
- Compute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft. The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans. Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam. Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…arrow_forwardA simply supported 3 m long beam with a point load of 5 kN and a cross section of 50 mm * 80 mm is applied in the middle of the beam. Calculate the maximum transverse shear stress acting on the beam cross section.arrow_forwardDerive the formula for the bending stress of a beam with a rectangular cross section and triangular cross secrion. Thank youarrow_forward
- please translate the following problem descriptions into al diagrammatic representation, solve for/draw the shear force and bending moment diagrams and find the deflection and/or slope as indicated: 3. A 16 ft. long simply supported beam is loaded by a 1 k/ft uniform distributed load for the first 6 ft. and (2) point loads, 3 kips each, at 9 ft. and 12 ft. A Structural No. 1 timber (E = 1,600,000 psi) is specified with nominal dimensions of 6x12. Find the magnitude and location of the maximum deflection.arrow_forwardA simply supported beam 10 m long has an overhang of 1.1 m at the left support. If a highway uniform load of 12.02 kN/m and a concentrated load of 194 kN, passes thru the beam, compute the maximum positive shear (kN) based on influence line for maximum shear at mid span.arrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC T WT305 x 41 LCD ↑ 88.9 mm. 211.1 mm D Xarrow_forward
- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LCD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) σT = (b) oc = i i B WBC LBC LCD Ť WT305 x 41 88.9 mm 211.1 mm MPa. MPa. Darrow_forwardA steel bar 140mm diameter is used to support a pulley block.if the bar is simply supported over a span of 1.4m, calculate the maximum bending stress in the material when the pulley block is at mid span supporting a load of 24KNarrow_forwarda 80 mm wide and 300 mm high simply supported bean has a length of 7.4 m and supports a concentrated load of 7.2 kN acting at the midspan. Find the maximum shear stress and maximum bending stress.arrow_forward
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