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Solid Mechanics Assignments

This document contains 5 solid mechanics problems assigned to students for homework. The problems involve calculating stresses in various structural configurations, including: 1) A welded plate under combined loading 2) A plastic tension member joined at an angle 3) Steel plates bolted together carrying a tensile load 4) Steel cables hoisting a plate with known geometry and forces 5) Lateral bracing with pin connections requiring a minimum pin diameter Students are to determine stresses like normal, shear and bearing given structural dimensions, materials and applied loads.

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Shipra Rajput
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138 views2 pages

Solid Mechanics Assignments

This document contains 5 solid mechanics problems assigned to students for homework. The problems involve calculating stresses in various structural configurations, including: 1) A welded plate under combined loading 2) A plastic tension member joined at an angle 3) Steel plates bolted together carrying a tensile load 4) Steel cables hoisting a plate with known geometry and forces 5) Lateral bracing with pin connections requiring a minimum pin diameter Students are to determine stresses like normal, shear and bearing given structural dimensions, materials and applied loads.

Uploaded by

Shipra Rajput
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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INDIAN INSTITUTE OF TECHNOLOGY BHUBANESWAR

School of Infrastructure
Autumn Semester 2017-18
Subject Code: Name: Solid Mechanics L-T-P: Credit:
CE2L001 3-1-0 4
 

Assignment-3 Due date: 29 August 2017

Problem 1: A rectangular plate of dimensions (100 mm × 250 mm) is formed by welding


two triangular plates (see figure 1). The plate is subjected to a compressive stress of 10
MPa in the long direction and a tensile stress of 20 MPa in the short direction. Determine
the normal stress acting perpendicular to the line of the weld and the shear acting parallel
to the weld.
20 MPa

10 MPa

Figure 1

Problem 2: A tension member is to be constructed of two pieces of plastic glued along plane
pq (Figure 2). For purposes of cutting and gluing, the angle θ must be between 25° and
45°. The allowable stresses on the glued joint in tension and shear are 5.0 MPa and 3.0
MPa, respectively. (a) Assuming that the strength of the glued joint controls the design,
determine the angle θ so that the bar will carry the largest load P. (b) Determine the
maximum allowable load Pmax if the cross-sectional area of the bar is 200 mm2.

Figure 2

Problem 3: Two 10-mm thick steel plates are fastened together as shown in Figure 3 by means two
20-mm bolts that fit tightly into the holes. If the joint transmits a tensile force of 45 kN, determine
(a) the average normal stress in the plates at a section where no holes occur; (b) the average normal
stress in the plates at the critical section; (c) the average shearing stress in the bolts; and (d) the
average bearing stress between the bolts and the plates.

Figure 3

Dr. Goutam Mondal


 
 

Problem 4: A steel plate of dimensions 2.5 m × 1.5 m×0.08 m and weighing 23.1kN is hoisted by
steel cables with lengths L1 = 3.2 m and L2 =3.9 m that are each attached to the plate by a clevis
and pin (see figure). The pins through the clevises are 18 mm in diameter and are located 2.0 m
apart. The orientation angles are measured to be = 94.4° and  = 54.9°.
For these conditions, first determine the cable forces T1 and T2, then find the average shear stress
av in both pin 1 and pin 2, and then the average bearing stress b between the steel plate and each
pin. Ignore the mass of the cables.

Figure 4

Problem 5: Lateral bracing for an elevated pedestrian walkway is shown in (Figure 5a). The
thickness of the clevis plate tc = 16 mm and the thickness of the gusset plate tg = 20 mm (Figure
5b). The maximum force in the diagonal bracing is expected to be F = 190 kN.

If the allowable shear stress in the pin is 90 MPa and the allowable bearing stress between the pin
and both the clevis and gusset plates is 150 MPa, what is the minimum required diameter dmin of
the pin?

(a) (b)

Figure 5

Dr. Goutam Mondal


 

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