A timber beam is being designed to be supported and loaded as shown. al Find the shear force bending moment equations; draw shear force and bending moment diagrams; and find the magnitude and the location of the maximum bending moment in the beam, b) Knowing that the available stock consists of beams with an allowable nomal stress of 20 MPa and a rectangular cross section of 30 mm width and depth h varying from 25 mm to 250 mm in 25 mm increments, determine the most economical cross section that can be used.

A timber beam is being designed to be supported and loaded as shown. al Find the shear force bending moment equations; draw shear force and bending moment diagrams; and find the magnitude and the location of the maximum bending moment in the beam, b) Knowing that the available stock consists of beams with an allowable nomal stress of 20 MPa and a rectangular cross section of 30 mm width and depth h varying from 25 mm to 250 mm in 25 mm increments, determine the most economical cross section that can be used.

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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(NOS 2 – 13) PROBLEM 1. A timber beam shown in the figure is made up of Sasalit (50% stress grade), Use LRFD. All the given loads shown in the figure below are unfactored service loadings only, it does not include the weight of the beam itself. 8.) What is the maximum actual moment in KN-m? 9) What is the actual maximum bending stress in MPa? 10) What is the actual maximum shearing stress in MPa? 11) What is the moment of inertia of the beam in mm4 with respect to x-axis? 12) What is the moment of inertia of the beam in mm4 with respect to y-axis? 13) The allowable deflection for beams is L/240, what is the allowable deflection in mm.? PDL = 5 KN %3D 500 mm PLL = 3 KN Wp =6 KN/m WL 3 KN/m 800 mm R1 R2 2 m 1 m 1 m
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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
6. The figure (next page) shows an experimental set-up for testing the bending capacity of a wood cross-beam. Note that the grain directions for the two support columns are different. The vertical columns have a cross-section of 3 in. x 3 in., and are both 5 in. long. The beam has a cross-section of 2 in. x 4 in. and has a length of 8 in. The stronger column has a compressive strength of 4675 psi and a modulus of elasticity of 0.8 x 106 psi. The weaker column has a compressive strength of 1545 psi and a modulus of 0.4 x 106 psi. a. What is the maximum allowable load, P, on the beam if its modulus of rupture (MOR) is 5230 psi and the moment M=2P? b. If a total load P= 28000 Ib is supported, wil either column fail due to this load? Show calculations to support your answer.
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Simply-Supported Timber Beams. please answer in 20 mins
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You are designing a floor beam in an office building that must support a factored bending moment of M, Ed = 602.1 kNm Assume that the beam is Section Class 1, fully restrained and has a yield strength of 355 N/mm2 Based on stress, what is the minimum plastic section modulus that should be chosen? Give your answer in cm and to the nearest whole number. Do not put units in the answer box.
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