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
About the Author
"Meet Mr. Akhand Dutta, the visionary Founder and Owner of CEWA (Civil Engineering With Akhand Dutta). Currently, The Placement Coordinator for Structural Engineering at the prestigious National Institute of Technology, Kurukshetra.
With a lif…
![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]")