STRESSES IN BEAMSProblem 2The simply supported beam in Fig. (a) has the T-shapedcross section shown. Determine the values andlocations of the maximum tensile and compressivebending stresses.400 lb/ft1000 lb- 6 in. ĮC0.8 in.DA0.8 in.-8 in.- 4 ft-Rg = 3400 lb10 ftR = 1600 lb%3D%3!(a)

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Answered: STRESSES IN BEAMS Problem 2 The simply…

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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Question 5 Match the answers in the columns. v Maximum Shear stress of a cross section. A. using an l-section instead of a rectangular section. v Maximum Bending stress of a cross section. B. Tension and bending force. C. 1m form the supports - v If a simply supported beam is subjected to a distributed load, where are you most likely to find tension bending cracks. D. At Midspan - v Ifa simply supported beam is subjected to a distributed load, where are you most likely to find shear cracks. E. Midspan at the bottom v The bending stress in a section can be reduced by using a F. Midspan at the top v Shear stress can be increased by the width of a section. G. At the supports. v The shear force in fasteners. H. Reducing the width of a section. v Moment couple on a section. 1. using a rectangular section instead of an l-section J. Shear flow K. Increasing the width of a section. L. Only at the section sides touching the NA M. In between the NA and the top/bottom fibres N. Usually at the NA…
Design the shear reinforcement for the beam shown in figure below assuming it resists an ultimate shear force at distance d from the face of the support of 450 kN. The characteristic material strengths are fok= 25 N/mm²and fm = 500 N/mm² 450 kN d= 500 mm -4H25 b= 300 mm
For the section shown, if the distance from the N.A to the steel centroid is 350 mm, 1944.4 x 10^6 mm^4, Es = 200 GPa, Ec = 20 GPa and M = -50 kN.m, then the strain in steel is b P -185.3 MPa O -926 x 10^-6 O 926 x 10^-6 O 185.3 MPa O zero O
AW410 x 60 standard steel shape is used to support the loads shown on the beam in the figure. Assume P = 130 kN, w = 27 kN/m, a = 2.8 m, and b = 2.0m. Determine the magnitude and location of the maximum bending stress in the beam. A max = x = a i i B a → Pin |C * b W MPa m D a E
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4.15 Knowing that for the casting shown in the figure the allowable stress is 6 ksi in tension and 15 ksi in compression, determine the maximum couple M that can be applied.
a) Two bars of different size form a pin-connected frame that supports a Load 'P' at point A as shown in the Fig. 3. What safe load P (kN) can be applied if the allowable stress of 120 MPa is not to be exceeded? Assume buckling has been prevented. Allowable stress is based on a factor of safety of 2.0. Cross sectional area of the rods AB and AC are given in the adjacent table as per last digit of Roll number. What is the failure load? Last digit of Area of AB | Area of AC Roll No. 1, 2, 4 & 7 200 mm 230 mm“ 3, 6 & 8 160 mm- 190 mm² 5, 9 & 0 180 mm 210 mm 2400 1600 Fig. 3 b) Two square bars are of equal length but have different size as shown in Fig. 4. Compare the maximum stress in the two bars if they are to receive the same input of energy from axial load. Given, m = (2 + last digit of your roll number). 2a 5.x m.x Fig. 4 last digit of roll=1
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Q1: If the beam with T section shown in Figure I is subjected to a positive bending moment 165 N.m . determine the following: 1. The location of the centroid measured from the top fiber in (mm) 2. The moment of inertia about the centroidal x axis (mm) 3. The maximum compressive stress in (MPa) 4. The maximum tensile stress in (MPa)

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STRESSES IN BEAMS Problem 2 The simply supported beam in Fig. (a) has the T-shaped cross section shown. Determine the values and locations of the maximum tensile and compressive bending stresses. 1000 lb 400 lb/ft 6 in. C0.8 in. D A 0.8 in.- 8 in. 10 ft - 4 ft R. 1600 Ih R. 3400 Ih