A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure). 934 N/m 338 mm -2.5 m Ⓡ The logs are Douglas fir with an average diameter 338 mm. A truck moves slowly across the bridge, which spans 2.5 m. Assume that the weight of the truck equally distributed between the two logs. Because the wheelbase of the truck is greater than 2.5 m, only one set of wheels is on the bridge at a time. Thus, the wheel load on one log is equivalent to a concentrated load W acting at any position along the span. In addition, the weight of one log and the planks it supports equivalent to a uniform load of 934 N/m acting. on the log. Determine the maximum permissible wheel load W (in kN) based upon the following. (a) an allowable bending stress of 7.0 MPa KN (b) an allowable shear stress of 0.75 MPa KN

A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure). 934 N/m 338 mm -2.5 m Ⓡ The logs are Douglas fir with an average diameter 338 mm. A truck moves slowly across the bridge, which spans 2.5 m. Assume that the weight of the truck equally distributed between the two logs. Because the wheelbase of the truck is greater than 2.5 m, only one set of wheels is on the bridge at a time. Thus, the wheel load on one log is equivalent to a concentrated load W acting at any position along the span. In addition, the weight of one log and the planks it supports equivalent to a uniform load of 934 N/m acting. on the log. Determine the maximum permissible wheel load W (in kN) based upon the following. (a) an allowable bending stress of 7.0 MPa KN (b) an allowable shear stress of 0.75 MPa KN

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

Please answer a and b.

A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure).
934 N/m
338 mm
-2.5 m.
Ⓡ
The logs are Douglas fir with an average diameter 338 mm. A truck moves slowly across the bridge, which spans 2.5 m. Assume that the weight of the truck is equally distributed between the two logs. Because the wheelbase of the truck is greater than 2.5 m, only
one set of wheels is on the bridge at a time. Thus, the wheel load on one log is equivalent to a concentrated load W acting at any position along the span. In addition, the weight of one log and the planks it supports is equivalent to a uniform load of 934 N/m acting
on the log. Determine the maximum permissible wheel load W (in kN) based upon the following.
(a) an allowable bending stress of 7.0 MPa
KN
(b) an allowable shear stress of 0.75 MPa
KN

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