Problem 3:The timber member has a cross-sectional area of 1750 mm² and its modulusof elasticity is 12 GPa. Compute the change in the total length of the member afterthe loads shown are applied.40 kN35 kN20 kNDAB•to+1.5 m→+-3 m3 m

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Answered: Problem 3: The timber member has a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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• Figure below shows a house floor which uses 50 mm wide x 150 mm deep timber joists spaced at 400 mm centres. If the maximum permissible stress in the timber is limited to 7.5 N/mm2, determine the maximum allowable simply supported span of the floor if it supports the following loads: • Dead Load of floor • Imposed Load of floor = 1.5kN/m² = 0.45kN/m? Floor boards Span Ceiling 150 Joist 50 400 mm 6/23/2021 28
A composite beam 225 mm wide x 300 mm deep x 4 m long is made by bolting two 100-mm- wide x 300-mm-deep timber planks to the sides of a 25 x 300-mm structural aluminium plate. The moduli of elasticity for the timber and aluminium are 8 GPa and 73 GPa, respectively. Determine the maximum tensile flexural stress in each of the materials if the composite beam is simply supported and carries a concentrated load 30 kN in the centre of the beam. 100 mm 25 mm 100 mm 11 300 mm
A simply supported post-tension beam as shown in Figure (1), span length is 14m, carries a uniformly distributed service live load of 10 kN/m. Find the value and location of initial pre-stress force (Pi), so that the mid span stresses in concrete at top fiber is zero at initial stage and zero stress at bottom fiber in service stage. Total losses in pre-stressed force are 15%. 100 200 100 750 100 400 Typical Cross section. Figure (1)
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Problem 6: The compound bar containing steel, bronze, and aluminum segments carries the axia! loads shown in the figure. The properties of the segments and the working stresses are listed in the table. Steel 2 ft Bronze 4 ft A (in.²) E (psi) o, (psi) Aluminum 3 ft 2P Steel 0.75 30 × 106 20 000 Bronze 1.00 12 x 106 18 000 4P Aluminum 0.50 10 x 106 12 000 Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 in. and the working stresses are not to be exceeded.
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Question 4 A 6 KN force is applied at the free end of a wood (E = 12GPa) beam with dimensions given in Fig. Q4. Neglecting the effect of fillets and stress concentration, determine (a) the maximum compressive stress and its location at section A-A; (b) the maximum shearing stress and its location at section A-A; (c) the deflection at section A-A. 6 kN 300 mm 400 mm ΤΑ 叶 ¡A Fig. Q4 96 mm -- 12 mm 12 mm 48 mm

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Problem 3: The timber member has a cross-sectional area of 1750 mm2 and its modulus of elasticity is 12 GPa. Compute the change in the total length of the member after the loads shown are applied. 40 kN 35 kN 20 kN D A B +1.5 m+ 3 m 3 m