To determine To calculate: The factor of safety against bearing failure for the concrete under each plates at C and D . Explanation Given information: The bearing failure stress of the concrete is ( σ fail ) b = 4 ksi . The square bearing plates at C and D are 21 in . × 21 in . . Calculation: Find the cross sectional area of the bearing plate at C and D as shown below. A b = 21 × 21 = 441 in . 2 Sketch the Free Body Diagram of the bridge truss as shown in Figure 1. Refer to Figure 1. Find the support reactions as shown below. Apply the Equations of Equilibrium as shown below. Take moment about A and the resultant is Equal to zero. ∑ M A = 0 B y × 36 − 100 × 36 − 200 × 30 − 300 × 24 − 300 × 18 − 300 × 12 − 300 × 6 = 0 36 B y − 27 , 600 = 0 B y = 766.67 kip Summation of forces along y direction is Equal to zero. ∑ F y = 0 766.67 − 100 − 200 − 300 − 300 − 300 − 300 − 150 + A y = 0 A y − 883.33 = 0 A y = 883.33 kip The axial forces acting on C and D . F C = A y = 883.33 kip F D = B y = 766.67 kip Find the bearing stress for the bearing plate at C as shown below. ( σ b ) C = F C A b Here, F C is the normal force acting on C and A b is the cross sectional area of the bearing plate at C . Substitute 883.33 kip for F C and 441 in . 2 for A b . ( σ b ) C = 883

9th Edition

ISBN: 9789810694364

Author: Russell C Hibbeler

Publisher: Pearson Education

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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Chapter 1.7, Problem 1.96P

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To calculate: The factor of safety against bearing failure for the concrete under each plates at C and D.

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Chapter 1.7, Problem 1.95P

Chapter 1, Problem 1.97RP

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