A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]
A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale).
Question- A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]
Answer
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![A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0Bd-1emqPzdDROsHskKYWEpQqJZP3QaYD-s5pmiShbrKNMrg_C7doptdHDX9fAMe8mH_qS9O1CtWzUR1cDpm1LgOwYYc-zM0Tjb2l1ddc0-Wo05W35UJ8WtCvhQOuDywMbrK9VM2JtmK4A9MwLZayqWPpjv6l0ZOtOR3YckM8L9CS_zfwjoxiBT2j/s2048/SOM%20GATE%20PVQ%20COVER.png "A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]")
![A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAHeU4r9lw2gZlw6Sb5e8uNJ70suElB3jgyteoNBnKD5vx21MtOZBSjEmYOYwE68PIRiwe3iD8c7_IsSz1jvxUnSKBYMrhs6u6sNScLLA6masNIswhtH2UteveYxEltb7SXCPR5KyyV7VUPId9Fqtam85ktLj1xTL4fG35_7w523-8P73mTjNR4LSW/s3181/DocScanner%201%20Sep%202022%2010-05%20pm%20(1).jpg "A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction. 2. The magnitude of the load W (in kN, round off to the nearest integer), is 2. 2. [GATE 2020: 2 Marks, Set-1]")